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40379142512736 = 25355192790961
BaseRepresentation
bin10010010111001100000000…
…11100100010000001100000
312021222012121212110020200000
421023212000130202001200
520243032440440401421
6221513531052100000
711335203536163666
oct1113460034420140
9167865555406600
1040379142512736
11119587752a2595
1246418b9164600
13196b97699ac61
149d850a544c36
154a054a469226
hex24b980722060

40379142512736 has 72 divisors (see below), whose sum is σ = 119081082340584. Its totient is φ = 13459714168320.

The previous prime is 40379142512707. The next prime is 40379142512741. The reversal of 40379142512736 is 63721524197304.

40379142512736 is a `hidden beast` number, since 4 + 0 + 3 + 7 + 91 + 4 + 2 + 512 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2596387705 + ... + 2596403256.

It is an arithmetic number, because the mean of its divisors is an integer number (1653903921397).

Almost surely, 240379142512736 is an apocalyptic number.

It is an amenable number.

40379142512736 is an abundant number, since it is smaller than the sum of its proper divisors (78701939827848).

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

40379142512736 is an equidigital number, since it uses as much as digits as its factorization.

40379142512736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192790986 (or 5192790966 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 40379142512736 in words is "forty trillion, three hundred seventy-nine billion, one hundred forty-two million, five hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 5192790961 10385581922 15578372883 20771163844 31156745766 41542327688 46735118649 62313491532 83084655376 93470237298 124626983064 140205355947 166169310752 186940474596 249253966128 280410711894 373880949192 420616067841 498507932256 560821423788 747761898384 841232135682 1121642847576 1261848203523 1495523796768 1682464271364 2243285695152 2523696407046 3364928542728 4486571390304 5047392814092 6729857085456 10094785628184 13459714170912 20189571256368 40379142512736