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1044120042 = 232717612131
BaseRepresentation
bin111110001111000…
…000000111101010
32200202200210102200
4332033000013222
54114243320132
6251335041030
734605605520
oct7617000752
92622623380
101044120042
11496418929
12251810176
13138417114
149c954310
15619e8d7c
hex3e3c01ea

1044120042 has 144 divisors (see below), whose sum is σ = 2804383296. Its totient is φ = 274060800.

The previous prime is 1044119987. The next prime is 1044120043. The reversal of 1044120042 is 2400214401.

1044120042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1044119997 and 1044120024.

It is not an unprimeable number, because it can be changed into a prime (1044120043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7970317 + ... + 7970447.

It is an arithmetic number, because the mean of its divisors is an integer number (19474884).

Almost surely, 21044120042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044120042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402191648).

1044120042 is an abundant number, since it is smaller than the sum of its proper divisors (1760263254).

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

1044120042 is a wasteful number, since it uses less digits than its factorization.

1044120042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1044120042 is about 32312.8463927275. The cubic root of 1044120042 is about 1014.4955445821.

Adding to 1044120042 its reverse (2400214401), we get a palindrome (3444334443).

The spelling of 1044120042 in words is "one billion, forty-four million, one hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 61 63 102 119 122 126 131 153 183 238 262 306 357 366 393 427 549 714 786 854 917 1037 1071 1098 1179 1281 1834 2074 2142 2227 2358 2562 2751 3111 3721 3843 4454 5502 6222 6681 7259 7442 7686 7991 8253 9333 11163 13362 14518 15589 15982 16506 18666 20043 21777 22326 23973 26047 31178 33489 40086 43554 46767 47946 52094 55937 63257 65331 66978 71919 78141 93534 111874 126514 130662 135847 140301 143838 156282 167811 189771 234423 271694 280602 335622 379542 407541 442799 468846 487451 503433 569313 815082 885598 950929 974902 1006866 1138626 1222623 1328397 1462353 1901858 2445246 2656794 2852787 2924706 3412157 3985191 4387059 5705574 6824314 7970382 8286667 8558361 8774118 10236471 16573334 17116722 20472942 24860001 30709413 49720002 58006669 61418826 74580003 116013338 149160006 174020007 348040014 522060021 1044120042