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712142112 = 253112101607
BaseRepresentation
bin101010011100100…
…110110100100000
31211122000120022210
4222130212310200
52424302021422
6154355402120
723435052033
oct5234466440
91748016283
10712142112
11335a92a00
1217a5b3340
13b4700c86
146a81901a
15427c010c
hex2a726d20

712142112 has 144 divisors (see below), whose sum is σ = 2078528256. Its totient is φ = 213312000.

The previous prime is 712142111. The next prime is 712142131. The reversal of 712142112 is 211241217.

It is not an unprimeable number, because it can be changed into a prime (712142111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172913 + ... + 1173519.

It is an arithmetic number, because the mean of its divisors is an integer number (14434224).

Almost surely, 2712142112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039264128).

712142112 is an abundant number, since it is smaller than the sum of its proper divisors (1366386144).

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

712142112 is a wasteful number, since it uses less digits than its factorization.

712142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 724 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 712142112 is about 26685.9909315731. The cubic root of 712142112 is about 893.0084247017.

Adding to 712142112 its reverse (211241217), we get a palindrome (923383329).

The spelling of 712142112 in words is "seven hundred twelve million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 121 132 176 202 242 264 303 352 363 404 484 528 606 607 726 808 968 1056 1111 1212 1214 1452 1616 1821 1936 2222 2424 2428 2904 3232 3333 3642 3872 4444 4848 4856 5808 6666 6677 7284 8888 9696 9712 11616 12221 13332 13354 14568 17776 19424 20031 24442 26664 26708 29136 35552 36663 40062 48884 53328 53416 58272 61307 73326 73447 80124 97768 106656 106832 122614 146652 146894 160248 183921 195536 213664 220341 245228 293304 293788 320496 367842 391072 440682 490456 586608 587576 640992 674377 735684 881364 980912 1173216 1175152 1348754 1471368 1762728 1961824 2023131 2350304 2697508 2942736 3525456 4046262 5395016 5885472 7050912 7418147 8092524 10790032 14836294 16185048 21580064 22254441 29672588 32370096 44508882 59345176 64740192 89017764 118690352 178035528 237380704 356071056 712142112