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140071845888 = 214341323353
BaseRepresentation
bin1000001001110011101…
…1101100000000000000
3111101112211220000210000
42002130323230000000
54243331343032023
6144203105440000
713056053021352
oct2023473540000
9441484800700
10140071845888
11544499a6007
1223191940000
1310293728a60
146acadb10d2
15399c1b4243
hex209ceec000

140071845888 has 600 divisors, whose sum is σ = 471590003808. Its totient is φ = 41108373504.

The previous prime is 140071845887. The next prime is 140071845917. The reversal of 140071845888 is 888548170041.

140071845888 is a `hidden beast` number, since 1 + 40 + 0 + 7 + 18 + 4 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (140071845887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 396803920 + ... + 396804272.

Almost surely, 2140071845888 is an apocalyptic number.

140071845888 is a gapful number since it is divisible by the number (18) 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 140071845888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235795001904).

140071845888 is an abundant number, since it is smaller than the sum of its proper divisors (331518157920).

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

140071845888 is an equidigital number, since it uses as much as digits as its factorization.

140071845888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 140071845888 in words is "one hundred forty billion, seventy-one million, eight hundred forty-five thousand, eight hundred eighty-eight".