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40051811232 = 2533172726839
BaseRepresentation
bin100101010011010001…
…100010001110100000
310211101021112211011000
4211103101202032200
51124011230424412
630222145152000
72615343530646
oct452321421640
9124337484130
1040051811232
1115a93226644
12791932b600
133a13a231b4
141d1d417196
15109631d4dc
hex9534623a0

40051811232 has 96 divisors (see below), whose sum is σ = 123689462400. Its totient is φ = 12565269504.

The previous prime is 40051811213. The next prime is 40051811257. The reversal of 40051811232 is 23211815004.

40051811232 is a `hidden beast` number, since 4 + 0 + 0 + 518 + 112 + 32 = 666.

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

It is a super-2 number, since 2×400518112322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40051811196 and 40051811205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348732 + ... + 1378107.

It is an arithmetic number, because the mean of its divisors is an integer number (1288431900).

Almost surely, 240051811232 is an apocalyptic number.

It is an amenable number.

40051811232 is an abundant number, since it is smaller than the sum of its proper divisors (83637651168).

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

40051811232 is a wasteful number, since it uses less digits than its factorization.

40051811232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726875 (or 2726861 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 40051811232 in words is "forty billion, fifty-one million, eight hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 2726839 5453678 8180517 10907356 16361034 21814712 24541551 32722068 43629424 46356263 49083102 65444136 73624653 87258848 92712526 98166204 130888272 139068789 147249306 185425052 196332408 261776544 278137578 294498612 370850104 392664816 417206367 556275156 588997224 741700208 785329632 834412734 1112550312 1177994448 1251619101 1483400416 1668825468 2225100624 2355988896 2503238202 3337650936 4450201248 5006476404 6675301872 10012952808 13350603744 20025905616 40051811232