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140353816680 = 2332571116331063
BaseRepresentation
bin1000001010110110111…
…1010100100001101000
3111102021111110121222200
42002231233110201220
54244421034113210
6144251101220200
713066045520550
oct2025557244150
9442244417880
10140353816680
1154584085920
1223250261660
1310309c8348c
146b16610160
1539b6d110c0
hex20adbd4868

140353816680 has 384 divisors, whose sum is σ = 572213790720. Its totient is φ = 28984573440.

The previous prime is 140353816667. The next prime is 140353816697. The reversal of 140353816680 is 86618353041.

140353816680 is a `hidden beast` number, since 1 + 40 + 3 + 538 + 16 + 68 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 4502829 + ... + 4533891.

It is an arithmetic number, because the mean of its divisors is an integer number (1490140080).

Almost surely, 2140353816680 is an apocalyptic number.

140353816680 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 140353816680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286106895360).

140353816680 is an abundant number, since it is smaller than the sum of its proper divisors (431859974040).

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

140353816680 is a wasteful number, since it uses less digits than its factorization.

140353816680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31261 (or 31254 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 140353816680 in words is "one hundred forty billion, three hundred fifty-three million, eight hundred sixteen thousand, six hundred eighty".