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86321131440 = 2435359671381
BaseRepresentation
bin101000001100100100…
…0111110111110110000
322020210212102211012020
41100121020332332300
52403241202201230
6103353321231440
76144055340145
oct1203110767660
9266725384166
1086321131440
1133677034755
1214890932580
1381a88b9a8b
14426c49c3cc
1523a33db810
hex141923efb0

86321131440 has 40 divisors (see below), whose sum is σ = 267595508208. Its totient is φ = 23018968320.

The previous prime is 86321131427. The next prime is 86321131441. The reversal of 86321131440 is 4413112368.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (86321131441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179835451 + ... + 179835930.

Almost surely, 286321131440 is an apocalyptic number.

86321131440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86321131440 is an abundant number, since it is smaller than the sum of its proper divisors (181274376768).

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

86321131440 is a wasteful number, since it uses less digits than its factorization.

86321131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359671397 (or 359671391 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 86321131440 in words is "eighty-six billion, three hundred twenty-one million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 359671381 719342762 1079014143 1438685524 1798356905 2158028286 2877371048 3596713810 4316056572 5395070715 5754742096 7193427620 8632113144 10790141430 14386855240 17264226288 21580282860 28773710480 43160565720 86321131440