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40581138312 = 233211133941447
BaseRepresentation
bin100101110010110100…
…110000011110001000
310212202011120102101200
4211302310300132020
51131102232411222
630350454344200
72634431661411
oct456264603610
9125664512350
1040581138312
1116234aa3940
127a4665b060
133a995a5ba0
141d6d844808
1510c7a2aeac
hex972d30788

40581138312 has 96 divisors (see below), whose sum is σ = 129121836480. Its totient is φ = 11351364480.

The previous prime is 40581138293. The next prime is 40581138397. The reversal of 40581138312 is 21383118504.

40581138312 is a `hidden beast` number, since 40 + 581 + 1 + 3 + 8 + 31 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1960428 + ... + 1981019.

It is an arithmetic number, because the mean of its divisors is an integer number (1345019130).

Almost surely, 240581138312 is an apocalyptic number.

It is an amenable number.

40581138312 is an abundant number, since it is smaller than the sum of its proper divisors (88540698168).

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

40581138312 is a wasteful number, since it uses less digits than its factorization.

40581138312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941483 (or 3941476 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 40581138312 in words is "forty billion, five hundred eighty-one million, one hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 3941447 7882894 11824341 15765788 23648682 31531576 35473023 43355917 47297364 51238811 70946046 86711834 94594728 102477622 130067751 141892092 153716433 173423668 204955244 260135502 283784184 307432866 346847336 390203253 409910488 461149299 520271004 563626921 614865732 780406506 922298598 1040542008 1127253842 1229731464 1560813012 1690880763 1844597196 2254507684 3121626024 3381761526 3689194392 4509015368 5072642289 6763523052 10145284578 13527046104 20290569156 40581138312