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14040013013496 = 23321301149884843
BaseRepresentation
bin1100110001001111000111…
…1111010000000111111000
31211201012201122110122102100
43030103301333100013320
53320012421312412441
645505520512503400
72646233416351431
oct314236177200770
954635648418370
1014040013013496
114523377361988
1216a906bb4ab60
137aac769118b2
1436777c666488
1519532db05cb6
hexcc4f1fd01f8

14040013013496 has 48 divisors (see below), whose sum is σ = 38054263043160. Its totient is φ = 4676407070400.

The previous prime is 14040013013483. The next prime is 14040013013519. The reversal of 14040013013496 is 69431031004041.

14040013013496 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 0 + 0 + 1 + 301 + 349 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14040013013496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74848750 + ... + 75036093.

Almost surely, 214040013013496 is an apocalyptic number.

It is an amenable number.

14040013013496 is an abundant number, since it is smaller than the sum of its proper divisors (24014250029664).

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

14040013013496 is a wasteful number, since it uses less digits than its factorization.

14040013013496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149886156 (or 149886149 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 14040013013496 in words is "fourteen trillion, forty billion, thirteen million, thirteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1301 2602 3903 5204 7806 10408 11709 15612 23418 31224 46836 93672 149884843 299769686 449654529 599539372 899309058 1199078744 1348963587 1798618116 2697927174 3597236232 5395854348 10791708696 195000180743 390000361486 585000542229 780000722972 1170001084458 1560001445944 1755001626687 2340002168916 3510003253374 4680004337832 7020006506748 14040013013496