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140122123396992 = 27321111057617061
BaseRepresentation
bin11111110111000010111001…
…011000111110011110000000
3200101010112200200221220011200
4133313002321120332132000
5121331230102042200432
61214003114223141200
741341326562033212
oct3767027130763600
9611115620856150
10140122123396992
1140713505754a10
1213870733744800
1360255c87b8299
142685d386505b2
15112ed70acba7c
hex7f70b963e780

140122123396992 has 96 divisors (see below), whose sum is σ = 439872006726360. Its totient is φ = 42461249510400.

The previous prime is 140122123396991. The next prime is 140122123396999. The reversal of 140122123396992 is 299693321221041.

140122123396992 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 2 + 212 + 339 + 6 + 9 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140122123396991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5528795859 + ... + 5528821202.

Almost surely, 2140122123396992 is an apocalyptic number.

140122123396992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140122123396992 is an abundant number, since it is smaller than the sum of its proper divisors (299749883329368).

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

140122123396992 is a wasteful number, since it uses less digits than its factorization.

140122123396992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11057617092 (or 11057617077 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 140122123396992 in words is "one hundred forty trillion, one hundred twenty-two billion, one hundred twenty-three million, three hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 11057617061 22115234122 33172851183 44230468244 66345702366 88460936488 99518553549 121633787671 132691404732 176921872976 199037107098 243267575342 265382809464 353843745952 364901363013 398074214196 486535150684 530765618928 707687491904 729802726026 796148428392 973070301368 1061531237856 1094704089039 1415374983808 1459605452052 1592296856784 1946140602736 2123062475712 2189408178078 2919210904104 3184593713568 3892281205472 4246124951424 4378816356156 5838421808208 6369187427136 7784562410944 8757632712312 11676843616416 12738374854272 15569124821888 17515265424624 23353687232832 35030530849248 46707374465664 70061061698496 140122123396992