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400131120324 = 2231347373146309
BaseRepresentation
bin1011101001010011010…
…11000101110011000100
31102020210211021222021010
411310221223011303010
523023432031322244
6503452342322220
740623423256005
oct5645153056304
91366724258233
10400131120324
1114477064a001
126566b129370
132b969859a30
141551b7751ac
15a61d198eb9
hex5d29ac5cc4

400131120324 has 96 divisors (see below), whose sum is σ = 1029610391040. Its totient is φ = 120173879808.

The previous prime is 400131120307. The next prime is 400131120349. The reversal of 400131120324 is 423021131004.

It is a self number, because there is not a number n which added to its sum of digits gives 400131120324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2661682 + ... + 2807990.

It is an arithmetic number, because the mean of its divisors is an integer number (10725108240).

Almost surely, 2400131120324 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 400131120324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514805195520).

400131120324 is an abundant number, since it is smaller than the sum of its proper divisors (629479270716).

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

400131120324 is a wasteful number, since it uses less digits than its factorization.

400131120324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146749 (or 146747 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 400131120324 its reverse (423021131004), we get a palindrome (823152251328).

The spelling of 400131120324 in words is "four hundred billion, one hundred thirty-one million, one hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 373 564 611 746 1119 1222 1492 1833 2238 2444 3666 4476 4849 7332 9698 14547 17531 19396 29094 35062 52593 58188 70124 105186 146309 210372 227903 292618 438927 455806 585236 683709 877854 911612 1367418 1755708 1902017 2734836 3804034 5706051 6876523 7608068 11412102 13753046 20629569 22824204 27506092 41259138 54573257 82518276 89394799 109146514 163719771 178789598 218293028 268184397 327439542 357579196 536368794 654879084 709452341 1072737588 1418904682 2128357023 2564943079 2837809364 4256714046 5129886158 7694829237 8513428092 10259772316 15389658474 30779316948 33344260027 66688520054 100032780081 133377040108 200065560162 400131120324