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140359776816 = 243723293189227
BaseRepresentation
bin1000001010111000011…
…0000011101000110000
3111102021220200102202110
42002232012003220300
54244424100324231
6144251433045320
713066150263210
oct2025606035060
9442256612673
10140359776816
1154587486856
1223252256840
131030b28c29c
146b17322240
1539b75dc046
hex20ae183a30

140359776816 has 640 divisors, whose sum is σ = 468998553600. Its totient is φ = 35282903040.

The previous prime is 140359776773. The next prime is 140359776853. The reversal of 140359776816 is 618677953041.

It is a happy number.

140359776816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 618324895 + ... + 618325121.

It is an arithmetic number, because the mean of its divisors is an integer number (732810240).

Almost surely, 2140359776816 is an apocalyptic number.

140359776816 is a gapful number since it is divisible by the number (16) 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 140359776816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234499276800).

140359776816 is an abundant number, since it is smaller than the sum of its proper divisors (328638776784).

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

140359776816 is a wasteful number, since it uses less digits than its factorization.

140359776816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 140359776816 in words is "one hundred forty billion, three hundred fifty-nine million, seven hundred seventy-six thousand, eight hundred sixteen".