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40034441664 = 263279929177
BaseRepresentation
bin100101010010001111…
…010001100111000000
310211100001212100120200
4211102033101213000
51123442304113124
630220325005200
72615043065550
oct452217214700
9124301770520
1040034441664
1115a84442628
127913553800
133a10251149
141d1adb5160
151094a3bbc9
hex9523d19c0

40034441664 has 84 divisors (see below), whose sum is σ = 131144583024. Its totient is φ = 11438410752.

The previous prime is 40034441653. The next prime is 40034441683. The reversal of 40034441664 is 46614443004.

It is a tau number, because it is divible by the number of its divisors (84).

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

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, 4960557 + ... + 4968620.

It is an arithmetic number, because the mean of its divisors is an integer number (1561245036).

Almost surely, 240034441664 is an apocalyptic number.

It is an amenable number.

40034441664 is an abundant number, since it is smaller than the sum of its proper divisors (91110141360).

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

40034441664 is a wasteful number, since it uses less digits than its factorization.

40034441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9929202 (or 9929189 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 40034441664 its reverse (46614443004), we get a palindrome (86648884668).

The spelling of 40034441664 in words is "forty billion, thirty-four million, four hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 9929177 19858354 29787531 39716708 59575062 69504239 79433416 89362593 119150124 139008478 158866832 178725186 208512717 238300248 278016956 317733664 357450372 417025434 476600496 556033912 625538151 635467328 714900744 834050868 953200992 1112067824 1251076302 1429801488 1668101736 1906401984 2224135648 2502152604 2859602976 3336203472 4448271296 5004305208 5719205952 6672406944 10008610416 13344813888 20017220832 40034441664