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140103853056 = 21032233671801
BaseRepresentation
bin1000001001111011010…
…1110010010000000000
3111101122002010011100200
42002132311302100000
54243413041244211
6144210211445200
713056622046616
oct2023665622000
9441562104320
10140103853056
1154465a77512
12231a05b6800
131029a2544cb
146ad13436b6
15399edd7b56
hex209ed72400

140103853056 has 264 divisors, whose sum is σ = 423521090304. Its totient is φ = 44524339200.

The previous prime is 140103853037. The next prime is 140103853073. The reversal of 140103853056 is 650358301041.

140103853056 is a `hidden beast` number, since 1 + 40 + 1 + 0 + 38 + 530 + 56 = 666.

It is a super-3 number, since 3×1401038530563 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 140103853056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77791356 + ... + 77793156.

Almost surely, 2140103853056 is an apocalyptic number.

140103853056 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 140103853056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211760545152).

140103853056 is an abundant number, since it is smaller than the sum of its proper divisors (283417237248).

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

140103853056 is a wasteful number, since it uses less digits than its factorization.

140103853056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 140103853056 in words is "one hundred forty billion, one hundred three million, eight hundred fifty-three thousand, fifty-six".