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540042324656 = 241723418325367
BaseRepresentation
bin1111101101111010000…
…01111110101010110000
31220121221110220120020212
413312331001332222300
532322001313342111
61052031513123252
754005516006552
oct7667501765260
91817843816225
10540042324656
111990378a469a
12887b70b9528
133bc05bcbcc3
141c1d128b4d2
15e0ab1ca98b
hex7dbd07eab0

540042324656 has 160 divisors (see below), whose sum is σ = 1198561287168. Its totient is φ = 234292551680.

The previous prime is 540042324593. The next prime is 540042324659. The reversal of 540042324656 is 656423240045.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (540042324659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21276485 + ... + 21301851.

Almost surely, 2540042324656 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 540042324656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599280643584).

540042324656 is an abundant number, since it is smaller than the sum of its proper divisors (658518962512).

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

540042324656 is a wasteful number, since it uses less digits than its factorization.

540042324656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25539 (or 25533 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 540042324656 in words is "five hundred forty billion, forty-two million, three hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 23 34 41 46 68 82 83 92 136 164 166 184 272 328 332 368 391 656 664 697 782 943 1328 1394 1411 1564 1886 1909 2788 2822 3128 3403 3772 3818 5576 5644 6256 6806 7544 7636 11152 11288 13612 15088 15272 16031 22576 25367 27224 30544 32062 32453 50734 54448 57851 64124 64906 78269 101468 115702 128248 129812 156538 202936 231404 256496 259624 313076 405872 431239 462808 519248 583441 626152 862478 925616 1040047 1166882 1252304 1330573 1724956 2080094 2105461 2333764 2661146 3449912 4160188 4210922 4667528 5322292 6899824 8320376 8421844 9335056 9918497 10644584 16640752 16843688 17680799 19836994 21289168 23921081 33687376 35361598 35792837 39673988 47842162 48425603 70723196 71585674 79347976 86323901 95684324 96851206 141446392 143171348 158695952 172647802 191368648 193702412 282892784 286342696 345295604 382737296 387404824 406658377 572685392 690591208 774809648 813316754 823235251 1381182416 1467506317 1626633508 1646470502 1985449723 2935012634 3253267016 3292941004 3970899446 5870025268 6506534032 6585882008 7941798892 11740050536 13171764016 15883597784 23480101072 31767195568 33752645291 67505290582 135010581164 270021162328 540042324656