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140387869440 = 283357313911
BaseRepresentation
bin1000001010111111000…
…1001110001100000000
3111102100212112200121000
42002233301032030000
54300003243310230
6144254315132000
713066641126000
oct2025761161400
9442325480530
10140387869440
11545a13241a5
122325b744000
1310314047040
146b1ad56000
1539b9cdab60
hex20afc4e300

140387869440 has 1152 divisors, whose sum is σ = 626347008000. Its totient is φ = 29587783680.

The previous prime is 140387869429. The next prime is 140387869459. The reversal of 140387869440 is 44968783041.

140387869440 is a `hidden beast` number, since 1 + 40 + 3 + 87 + 86 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154102585 + ... + 154103495.

It is an arithmetic number, because the mean of its divisors is an integer number (543704000).

Almost surely, 2140387869440 is an apocalyptic number.

140387869440 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 140387869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313173504000).

140387869440 is an abundant number, since it is smaller than the sum of its proper divisors (485959138560).

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

140387869440 is an equidigital number, since it uses as much as digits as its factorization.

140387869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 140387869440 in words is "one hundred forty billion, three hundred eighty-seven million, eight hundred sixty-nine thousand, four hundred forty".