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140465664000 = 21235531129
BaseRepresentation
bin1000001011010001100…
…1111111000000000000
3111102120021221001200000
42002310121333000000
54300133202222000
6144310134400000
713101604305204
oct2026431770000
9442507831600
10140465664000
1154631229422
1223281800000
13103271b461c
146b27406b04
1539c1a56000
hex20b467f000

140465664000 has 624 divisors, whose sum is σ = 525583050720. Its totient is φ = 37424332800.

The previous prime is 140465663999. The next prime is 140465664011. The reversal of 140465664000 is 466564041.

140465664000 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 6 + 5 + 6 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124415436 + ... + 124416564.

It is an arithmetic number, because the mean of its divisors is an integer number (842280530).

Almost surely, 2140465664000 is an apocalyptic number.

140465664000 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 140465664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262791525360).

140465664000 is an abundant number, since it is smaller than the sum of its proper divisors (385117386720).

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

140465664000 is an frugal number, since it uses more digits than its factorization.

140465664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 140465664000 in words is "one hundred forty billion, four hundred sixty-five million, six hundred sixty-four thousand".