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140531637672 = 23321951828301
BaseRepresentation
bin1000001011100001010…
…1101001110110101000
3111102201220001212112100
42002320111221312220
54300302044401142
6144320452413400
713103335132236
oct2027025516650
9442656055470
10140531637672
115466549a418
122329b917260
1310337a735ba
146b3209b956
1539c7738b4c
hex20b8569da8

140531637672 has 24 divisors (see below), whose sum is σ = 380606518890. Its totient is φ = 46843879200.

The previous prime is 140531637667. The next prime is 140531637707. The reversal of 140531637672 is 276736135041.

140531637672 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 3 + 1 + 637 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109332067716 + 31199569956 = 330654^2 + 176634^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 975914079 + ... + 975914222.

Almost surely, 2140531637672 is an apocalyptic number.

140531637672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140531637672 is an abundant number, since it is smaller than the sum of its proper divisors (240074881218).

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

140531637672 is a wasteful number, since it uses less digits than its factorization.

140531637672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951828313 (or 1951828306 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 140531637672 in words is "one hundred forty billion, five hundred thirty-one million, six hundred thirty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1951828301 3903656602 5855484903 7807313204 11710969806 15614626408 17566454709 23421939612 35132909418 46843879224 70265818836 140531637672