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42031255362336 = 2533291677492631
BaseRepresentation
bin10011000111010001010100…
…00010111001101100100000
312111211011000110020210001000
421203220222002321230200
521002120002333043321
6225220520412112000
711565441455536122
oct1143505202715440
9174734013223030
1042031255362336
111243539a999219
124869b32465600
131a5b6b8300476
14a54475dd5212
154cd4e1b47826
hex263a2a0b9b20

42031255362336 has 96 divisors (see below), whose sum is σ = 126818442979200. Its totient is φ = 13527300568320.

The previous prime is 42031255362311. The next prime is 42031255362353. The reversal of 42031255362336 is 63326355213024.

42031255362336 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 1 + 2 + 553 + 62 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 42031255362291 and 42031255362300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838721260 + ... + 838771371.

It is an arithmetic number, because the mean of its divisors is an integer number (1321025447700).

Almost surely, 242031255362336 is an apocalyptic number.

It is an amenable number.

42031255362336 is an abundant number, since it is smaller than the sum of its proper divisors (84787187616864).

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

42031255362336 is a wasteful number, since it uses less digits than its factorization.

42031255362336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677492679 (or 1677492665 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 42031255362336 in words is "forty-two trillion, thirty-one billion, two hundred fifty-five million, three hundred sixty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 1677492631 3354985262 5032477893 6709970524 10064955786 13419941048 15097433679 20129911572 26839882096 30194867358 40259823144 45292301037 48647286299 53679764192 60389734716 80519646288 90584602074 97294572598 120779469432 145941858897 161039292576 181169204148 194589145196 241558938864 291883717794 362338408296 389178290392 437825576691 483117877728 583767435588 724676816592 778356580784 875651153382 1167534871176 1313476730073 1449353633184 1556713161568 1751302306764 2335069742352 2626953460146 3502604613528 4670139484704 5253906920292 7005209227056 10507813840584 14010418454112 21015627681168 42031255362336