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131403429984 = 2532359512423
BaseRepresentation
bin111101001100001000…
…0010011100001100000
3110120011201201212122010
41322120100103201200
54123103234224414
6140211011312520
712331204503651
oct1723020234140
9416151655563
10131403429984
11508008a0922
12215728ab740
13c511884588
146507a31528
153641184959
hex1e98413860

131403429984 has 48 divisors (see below), whose sum is σ = 359931140352. Its totient is φ = 41896745088.

The previous prime is 131403429977. The next prime is 131403429991. The reversal of 131403429984 is 489924304131.

It is an interprime number because it is at equal distance from previous prime (131403429977) and next prime (131403429991).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1314034299842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29754004 + ... + 29758419.

It is an arithmetic number, because the mean of its divisors is an integer number (7498565424).

Almost surely, 2131403429984 is an apocalyptic number.

It is an amenable number.

131403429984 is an abundant number, since it is smaller than the sum of its proper divisors (228527710368).

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

131403429984 is a wasteful number, since it uses less digits than its factorization.

131403429984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59512459 (or 59512451 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 131403429984 in words is "one hundred thirty-one billion, four hundred three million, four hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 59512423 119024846 178537269 238049692 357074538 476099384 714149076 952198768 1368785729 1428298152 1904397536 2737571458 2856596304 4106357187 5475142916 5713192608 8212714374 10950285832 16425428748 21900571664 32850857496 43801143328 65701714992 131403429984