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140312839680 = 293451352051
BaseRepresentation
bin1000001010101101001…
…1000000011000000000
3111102011122100210010000
42002223103000120000
54244330041332210
6144243035040000
713065040313226
oct2025323003000
9442148323100
10140312839680
1154562a38232
122323a5a0000
1310301637030
146b10dc4b16
1539b3419ac0
hex20ab4c0600

140312839680 has 400 divisors, whose sum is σ = 541224828144. Its totient is φ = 34537881600.

The previous prime is 140312839619. The next prime is 140312839687. The reversal of 140312839680 is 86938213041.

140312839680 is a `hidden beast` number, since 1 + 403 + 1 + 2 + 83 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140312839687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2669655 + ... + 2721705.

Almost surely, 2140312839680 is an apocalyptic number.

140312839680 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 140312839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270612414072).

140312839680 is an abundant number, since it is smaller than the sum of its proper divisors (400911988464).

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

140312839680 is an equidigital number, since it uses as much as digits as its factorization.

140312839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52099 (or 52074 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 140312839680 in words is "one hundred forty billion, three hundred twelve million, eight hundred thirty-nine thousand, six hundred eighty".