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56256840144 = 2433433028469
BaseRepresentation
bin110100011001001010…
…110100000111010000
312101012122011120202000
4310121022310013100
51410203222341034
641502151154000
74031045152131
oct643112640720
9171178146660
1056256840144
112194957971a
12aaa0375900
1353c71046bb
142a196b9c88
1516e3d13599
hexd192b41d0

56256840144 has 80 divisors (see below), whose sum is σ = 165233323200. Its totient is φ = 18316174464.

The previous prime is 56256840121. The next prime is 56256840151. The reversal of 56256840144 is 44104865265.

It is a happy number.

56256840144 is a `hidden beast` number, since 5 + 6 + 2 + 568 + 40 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56256840144.

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, 1495659 + ... + 1532810.

It is an arithmetic number, because the mean of its divisors is an integer number (2065416540).

Almost surely, 256256840144 is an apocalyptic number.

56256840144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56256840144 is an abundant number, since it is smaller than the sum of its proper divisors (108976483056).

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

56256840144 is a wasteful number, since it uses less digits than its factorization.

56256840144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028529 (or 3028517 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 56256840144 in words is "fifty-six billion, two hundred fifty-six million, eight hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4644 6192 9288 18576 3028469 6056938 9085407 12113876 18170814 24227752 27256221 36341628 48455504 54512442 72683256 81768663 109024884 130224167 145366512 163537326 218049768 260448334 327074652 390672501 436099536 520896668 654149304 781345002 1041793336 1172017503 1308298608 1562690004 2083586672 2344035006 3125380008 3516052509 4688070012 6250760016 7032105018 9376140024 14064210036 18752280048 28128420072 56256840144