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140058745920 = 263651735317
BaseRepresentation
bin1000001001110000100…
…1101101110001000000
3111101111221020111000000
42002130021231301000
54243320014332140
6144201521000000
713055533461132
oct2023411556100
9441457214000
10140058745920
1154442568895
1223189483000
1310290ac01b2
146ac9361052
15399ae77a30
hex209c26dc40

140058745920 has 392 divisors, whose sum is σ = 529472904984. Its totient is φ = 35151003648.

The previous prime is 140058745873. The next prime is 140058745969. The reversal of 140058745920 is 29547850041.

140058745920 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 58 + 7 + 4 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29265629184 + 110793116736 = 171072^2 + 332856^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3948102 + ... + 3983418.

Almost surely, 2140058745920 is an apocalyptic number.

140058745920 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 140058745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264736452492).

140058745920 is an abundant number, since it is smaller than the sum of its proper divisors (389414159064).

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

140058745920 is an equidigital number, since it uses as much as digits as its factorization.

140058745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35369 (or 35344 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 140058745920 in words is "one hundred forty billion, fifty-eight million, seven hundred forty-five thousand, nine hundred twenty".