Search a number
-
+
12416424043056 = 24311210919612973
BaseRepresentation
bin1011010010101110110010…
…0010110110001000110000
31121221222221221101022022020
42310223230202312020300
53111412314023334211
642224005414311440
72421025363663665
oct264535442661060
947858857338266
1012416424043056
113a57859749900
121486477358580
136c0b2c8c31a7
1430cd5b175a6c
15167ea6672306
hexb4aec8b6230

12416424043056 has 120 divisors (see below), whose sum is σ = 35580288392880. Its totient is φ = 3728033717760.

The previous prime is 12416424043021. The next prime is 12416424043183. The reversal of 12416424043056 is 65034042461421.

It is a junction number, because it is equal to n+sod(n) for n = 12416424042999 and 12416424043017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9173415 + ... + 10439558.

It is an arithmetic number, because the mean of its divisors is an integer number (296502403274).

Almost surely, 212416424043056 is an apocalyptic number.

12416424043056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12416424043056 is an abundant number, since it is smaller than the sum of its proper divisors (23163864349824).

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

12416424043056 is a wasteful number, since it uses less digits than its factorization.

12416424043056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19613115 (or 19613098 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 12416424043056 in words is "twelve trillion, four hundred sixteen billion, four hundred twenty-four million, forty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 121 132 176 218 242 264 327 363 436 484 528 654 726 872 968 1199 1308 1452 1744 1936 2398 2616 2904 3597 4796 5232 5808 7194 9592 13189 14388 19184 26378 28776 39567 52756 57552 79134 105512 158268 211024 316536 633072 19612973 39225946 58838919 78451892 117677838 156903784 215742703 235355676 313807568 431485406 470711352 647228109 862970812 941422704 1294456218 1725941624 2137814057 2373169733 2588912436 3451883248 4275628114 4746339466 5177824872 6413442171 7119509199 8551256228 9492678932 10355649744 12826884342 14239018398 17102512456 18985357864 23515954627 25653768684 28478036796 34205024912 37970715728 47031909254 51307537368 56956073592 70547863881 94063818508 102615074736 113912147184 141095727762 188127637016 258675500897 282191455524 376255274032 517351001794 564382911048 776026502691 1034702003588 1128765822096 1552053005382 2069404007176 3104106010764 4138808014352 6208212021528 12416424043056