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140812000960 = 26517297312227
BaseRepresentation
bin1000001100100100001…
…1001001111011000000
3111110110102121210122211
42003021003021323000
54301340333012320
6144404345511504
713113311155021
oct2031103117300
9443412553584
10140812000960
1154799781514
12233597a2594
1310380b87437
146b5b3dcc48
1539e216955a
hex20c90c9ec0

140812000960 has 224 divisors, whose sum is σ = 372336730560. Its totient is φ = 50478317568.

The previous prime is 140812000957. The next prime is 140812000981. The reversal of 140812000960 is 69000218041.

It is a happy number.

It is a super-2 number, since 2×1408120009602 (a number of 23 digits) contains 22 as substring.

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, 11510367 + ... + 11522593.

Almost surely, 2140812000960 is an apocalyptic number.

140812000960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140812000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186168365280).

140812000960 is an abundant number, since it is smaller than the sum of its proper divisors (231524729600).

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

140812000960 is a wasteful number, since it uses less digits than its factorization.

140812000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12363 (or 12353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 140812000960 in words is "one hundred forty billion, eight hundred twelve million, nine hundred sixty", and thus it is an aban number.