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56140402241344 = 2617743153145361
BaseRepresentation
bin11001100001111001101001…
…01110111010111101000000
321100202222012011021200011211
430300330310232322331000
524324301020433210334
6315222313355415504
714553003334330021
oct1460746456727500
9240688164250154
1056140402241344
1116985013540543
126368477154594
13254302ba8c595
14dc12d2210c48
15675519cc1a64
hex330f34bbaf40

56140402241344 has 112 divisors (see below), whose sum is σ = 118195276553856. Its totient is φ = 26365641523200.

The previous prime is 56140402241309. The next prime is 56140402241359. The reversal of 56140402241344 is 44314220404165.

It is a junction number, because it is equal to n+sod(n) for n = 56140402241297 and 56140402241306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237613224 + ... + 1237658584.

Almost surely, 256140402241344 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 56140402241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59097638276928).

56140402241344 is an abundant number, since it is smaller than the sum of its proper divisors (62054874312512).

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

56140402241344 is a wasteful number, since it uses less digits than its factorization.

56140402241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47664 (or 47654 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 56140402241344 in words is "fifty-six trillion, one hundred forty billion, four hundred two million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 743 1088 1486 1531 2972 3062 5944 6124 11888 12248 12631 23776 24496 25262 26027 45361 47552 48992 50524 52054 90722 97984 101048 104108 181444 202096 208216 362888 404192 416432 725776 771137 808384 832864 1137533 1451552 1542274 1665728 2275066 2903104 3084548 4550132 6169096 9100264 12338192 18200528 19338061 24676384 33703223 36401056 38676122 49352768 67406446 69447691 72802112 77352244 134812892 138895382 154704488 269625784 277790764 309408976 539251568 555581528 572954791 618817952 1078503136 1111163056 1145909582 1180610747 1237635904 2157006272 2222326112 2291819164 2361221494 4444652224 4583638328 4722442988 9167276656 9444885976 18334553312 18889771952 36669106624 37779543904 51599634413 75559087808 103199268826 206398537652 412797075304 825594150608 877193785021 1651188301216 1754387570042 3302376602432 3508775140084 7017550280168 14035100560336 28070201120672 56140402241344