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140247169920 = 273251121323673
BaseRepresentation
bin1000001010011101100…
…0011111101110000000
3111102000001210102010200
42002213120133232000
54244211233414140
6144232331325200
713063312163214
oct2024730375600
9442001712120
10140247169920
1154529964600
12232205b0800
13102c0b534a0
146b063ac944
1539ac797030
hex20a761fb80

140247169920 has 1152 divisors, whose sum is σ = 599081071680. Its totient is φ = 29974855680.

The previous prime is 140247169877. The next prime is 140247169939. The reversal of 140247169920 is 29961742041.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 208390704 + ... + 208391376.

Almost surely, 2140247169920 is an apocalyptic number.

140247169920 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 140247169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299540535840).

140247169920 is an abundant number, since it is smaller than the sum of its proper divisors (458833901760).

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

140247169920 is a wasteful number, since it uses less digits than its factorization.

140247169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 140247169920 in words is "one hundred forty billion, two hundred forty-seven million, one hundred sixty-nine thousand, nine hundred twenty".