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131143465464 = 233111926145029
BaseRepresentation
bin111101000100011000…
…0100111100111111000
3110112111121120022100120
41322020300213213320
54122040211343324
6140125123333240
712321600030624
oct1721060474770
9415447508316
10131143465464
1150688081710
12214bb821220
13c49ca6350b
1464c12c0184
153628433179
hex1e88c279f8

131143465464 has 64 divisors (see below), whose sum is σ = 376488432000. Its totient is φ = 37648840320.

The previous prime is 131143465463. The next prime is 131143465489. The reversal of 131143465464 is 464564341131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131143465463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13067499 + ... + 13077530.

It is an arithmetic number, because the mean of its divisors is an integer number (5882631750).

Almost surely, 2131143465464 is an apocalyptic number.

It is an amenable number.

131143465464 is an abundant number, since it is smaller than the sum of its proper divisors (245344966536).

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

131143465464 is a wasteful number, since it uses less digits than its factorization.

131143465464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26145068 (or 26145064 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 131143465464 in words is "one hundred thirty-one billion, one hundred forty-three million, four hundred sixty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 26145029 52290058 78435087 104580116 156870174 209160232 287595319 313740348 496755551 575190638 627480696 862785957 993511102 1150381276 1490266653 1725571914 1987022204 2300762552 2980533306 3451143828 3974044408 5464311061 5961066612 6902287656 10928622122 11922133224 16392933183 21857244244 32785866366 43714488488 65571732732 131143465464