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131641343586432 = 27354232296283
BaseRepresentation
bin11101111011101000100011…
…100001011011000010000000
3122021002210022120112120100000
4131323220203201123002000
5114223302432424231212
61143551110503200000
736504526133043111
oct3573504341330200
9567083276476300
10131641343586432
1138a43864632069
1212920b83746000
13585b957a19824
142471691682208
1510344605b41dc
hex77ba2385b080

131641343586432 has 96 divisors (see below), whose sum is σ = 392841741080880. Its totient is φ = 43880447851776.

The previous prime is 131641343586409. The next prime is 131641343586439. The reversal of 131641343586432 is 234685343146131.

131641343586432 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 4 + 13 + 4 + 3 + 586 + 43 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (131641343586439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2116117038 + ... + 2116179245.

Almost surely, 2131641343586432 is an apocalyptic number.

131641343586432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131641343586432 is an abundant number, since it is smaller than the sum of its proper divisors (261200397494448).

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

131641343586432 is an frugal number, since it uses more digits than its factorization.

131641343586432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232296312 (or 4232296288 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 131641343586432 in words is "one hundred thirty-one trillion, six hundred forty-one billion, three hundred forty-three million, five hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 4232296283 8464592566 12696888849 16929185132 25393777698 33858370264 38090666547 50787555396 67716740528 76181333094 101575110792 114271999641 135433481056 152362666188 203150221584 228543999282 270866962112 304725332376 342815998923 406300443168 457087998564 541733924224 609450664752 685631997846 812600886336 914175997128 1028447996769 1218901329504 1371263995692 1625201772672 1828351994256 2056895993538 2437802659008 2742527991384 3656703988512 4113791987076 4875605318016 5485055982768 7313407977024 8227583974152 10970111965536 14626815954048 16455167948304 21940223931072 32910335896608 43880447862144 65820671793216 131641343586432