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40881707460 = 223251122990163
BaseRepresentation
bin100110000100101111…
…010101100111000100
310220112010010220202100
4212010233111213010
51132211204114320
630440352512100
72645041531326
oct460457254704
9126463126670
1040881707460
11163797269a0
127b0b24b630
133b16942a59
141d9b725616
1510e40ed790
hex984bd59c4

40881707460 has 144 divisors (see below), whose sum is σ = 135873541440. Its totient is φ = 9867329280.

The previous prime is 40881707459. The next prime is 40881707521. The reversal of 40881707460 is 6470718804.

40881707460 is a `hidden beast` number, since 40 + 8 + 81 + 70 + 7 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408339 + ... + 498501.

It is an arithmetic number, because the mean of its divisors is an integer number (943566260).

Almost surely, 240881707460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40881707460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67936770720).

40881707460 is an abundant number, since it is smaller than the sum of its proper divisors (94991833980).

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

40881707460 is a wasteful number, since it uses less digits than its factorization.

40881707460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90418 (or 90413 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 40881707460 in words is "forty billion, eight hundred eighty-one million, seven hundred seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 229 330 396 458 495 660 687 916 990 1145 1374 1980 2061 2290 2519 2748 3435 4122 4580 5038 6870 7557 8244 10076 10305 12595 13740 15114 20610 22671 25190 30228 37785 41220 45342 50380 75570 90163 90684 113355 151140 180326 226710 270489 360652 450815 453420 540978 811467 901630 991793 1081956 1352445 1622934 1803260 1983586 2704890 2975379 3245868 3967172 4057335 4958965 5409780 5950758 8114670 8926137 9917930 11901516 14876895 16229340 17852274 19835860 20647327 29753790 35704548 41294654 44630685 59507580 61941981 82589308 89261370 103236635 123883962 178522740 185825943 206473270 227120597 247767924 309709905 371651886 412946540 454241194 619419810 681361791 743303772 908482388 929129715 1135602985 1238839620 1362723582 1858259430 2044085373 2271205970 2725447164 3406808955 3716518860 4088170746 4542411940 6813617910 8176341492 10220426865 13627235820 20440853730 40881707460