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132331144132044 = 223311138568450151
BaseRepresentation
bin11110000101101010111110…
…110101101011010111001100
3122100112201210221221222222000
4132011222332311223113030
5114321103140344211134
61145240031030552300
736605416053662034
oct3605527665532714
9570481727858860
10132331144132044
113918a360aa6710
1212a127b4508690
1358aba09073450
142496c0c1448c4
151047384010e99
hex785abed6b5cc

132331144132044 has 96 divisors (see below), whose sum is σ = 403059895150080. Its totient is φ = 37015704648000.

The previous prime is 132331144132013. The next prime is 132331144132067. The reversal of 132331144132044 is 440231441133231.

132331144132044 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 1 + 1 + 441 + 3 + 204 + 4 = 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 31 ways as a sum of consecutive naturals, for example, 4284209632 + ... + 4284240519.

It is an arithmetic number, because the mean of its divisors is an integer number (4198540574480).

Almost surely, 2132331144132044 is an apocalyptic number.

It is an amenable number.

132331144132044 is an abundant number, since it is smaller than the sum of its proper divisors (270728751018036).

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

132331144132044 is a wasteful number, since it uses less digits than its factorization.

132331144132044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568450188 (or 8568450180 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 132331144132044 its reverse (440231441133231), we get a palindrome (572562585265275).

The spelling of 132331144132044 in words is "one hundred thirty-two trillion, three hundred thirty-one billion, one hundred forty-four million, one hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7722 15444 8568450151 17136900302 25705350453 34273800604 51410700906 77116051359 94252951661 102821401812 111389851963 154232102718 188505903322 222779703926 231348154077 282758854983 308464205436 334169555889 377011806644 445559407852 462696308154 565517709966 668339111778 848276564949 925392616308 1002508667667 1131035419932 1225288371593 1336678223556 1696553129898 2005017335334 2450576743186 2544829694847 3007526003001 3393106259796 3675865114779 4010034670668 4901153486372 5089659389694 6015052006002 7351730229558 10179318779388 11027595344337 12030104012004 14703460459116 22055190688674 33082786033011 44110381377348 66165572066022 132331144132044