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2331433434132 = 22321137241660251
BaseRepresentation
bin100001111011010100010…
…000101111110000010100
322020212211121022210001100
4201323110100233300110
5301144233424343012
64543013513430100
7330304044132465
oct41732420576024
98225747283040
102331433434132
11819834436420
12317a2040b330
1313bb1271193a
1480bb0572d6c
15409a50618dc
hex21ed442fc14

2331433434132 has 144 divisors (see below), whose sum is σ = 6630271712064. Its totient is φ = 684547200000.

The previous prime is 2331433434013. The next prime is 2331433434139. The reversal of 2331433434132 is 2314343341332.

2331433434132 is a `hidden beast` number, since 2 + 3 + 314 + 334 + 3 + 4 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331433434139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3201007 + ... + 3861257.

It is an arithmetic number, because the mean of its divisors is an integer number (46043553556).

Almost surely, 22331433434132 is an apocalyptic number.

2331433434132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331433434132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315135856032).

2331433434132 is an abundant number, since it is smaller than the sum of its proper divisors (4298838277932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2331433434132 is a wasteful number, since it uses less digits than its factorization.

2331433434132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660550 (or 660545 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

Adding to 2331433434132 its reverse (2314343341332), we get a palindrome (4645776775464).

The spelling of 2331433434132 in words is "two trillion, three hundred thirty-one billion, four hundred thirty-three million, four hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 241 333 396 407 444 482 666 723 814 964 1221 1332 1446 1628 2169 2442 2651 2892 3663 4338 4884 5302 7326 7953 8676 8917 10604 14652 15906 17834 23859 26751 31812 35668 47718 53502 80253 95436 98087 107004 160506 196174 294261 321012 392348 588522 660251 882783 1177044 1320502 1765566 1980753 2641004 3531132 3961506 5942259 7262761 7923012 11884518 14525522 21788283 23769036 24429287 29051044 43576566 48858574 65364849 73287861 87153132 97717148 130729698 146575722 159120491 219863583 261459396 268722157 293151444 318240982 439727166 477361473 537444314 636481964 806166471 879454332 954722946 1074888628 1432084419 1612332942 1750325401 1909445892 2418499413 2864168838 3224665884 3500650802 4836998826 5250976203 5728337676 5887458167 7001301604 9673997652 10501952406 11774916334 15752928609 17662374501 21003904812 23549832668 31505857218 35324749002 52987123503 63011714436 64762039837 70649498004 105974247006 129524079674 194286119511 211948494012 259048159348 388572239022 582858358533 777144478044 1165716717066 2331433434132