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140425228800 = 293652101149
BaseRepresentation
bin1000001011000111111…
…1101111001000000000
3111102110110211202000000
42002301333233020000
54300042324310200
6144302132000000
713100603515263
oct2026177571000
9442413752000
10140425228800
11546104208aa
1223270160000
131031b9c797c
146b21cbccda
1539bd21a300
hex20b1fef200

140425228800 has 840 divisors, whose sum is σ = 530333327700. Its totient is φ = 36827136000.

The previous prime is 140425228799. The next prime is 140425228817. The reversal of 140425228800 is 8822524041.

140425228800 is a `hidden beast` number, since 1 + 4 + 0 + 425 + 228 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 60847075584 + 79578153216 = 246672^2 + 282096^2 .

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

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 83 ways as a sum of consecutive naturals, for example, 942451126 + ... + 942451274.

Almost surely, 2140425228800 is an apocalyptic number.

140425228800 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 140425228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265166663850).

140425228800 is an abundant number, since it is smaller than the sum of its proper divisors (389908098900).

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

140425228800 is an equidigital number, since it uses as much as digits as its factorization.

140425228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 140425228800 in words is "one hundred forty billion, four hundred twenty-five million, two hundred twenty-eight thousand, eight hundred".