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140014233576 = 233275346311321
BaseRepresentation
bin1000001001100101111…
…1111010011111101000
3111101101211111000112200
42002121133322133220
54243222120433301
6144153250540200
713054453230420
oct2023137723750
9441354430480
10140014233576
115441a426028
1223176597660
1310284806829
146ac3495480
1539970d3c86
hex20997fa7e8

140014233576 has 192 divisors, whose sum is σ = 442547089920. Its totient is φ = 39161041920.

The previous prime is 140014233539. The next prime is 140014233599. The reversal of 140014233576 is 675332410041.

140014233576 is a `hidden beast` number, since 1 + 40 + 0 + 1 + 42 + 3 + 3 + 576 = 666.

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 140014233576.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12361996 + ... + 12373316.

It is an arithmetic number, because the mean of its divisors is an integer number (2304932760).

Almost surely, 2140014233576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140014233576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221273544960).

140014233576 is an abundant number, since it is smaller than the sum of its proper divisors (302532856344).

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

140014233576 is a wasteful number, since it uses less digits than its factorization.

140014233576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856 (or 11849 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 140014233576 in words is "one hundred forty billion, fourteen million, two hundred thirty-three thousand, five hundred seventy-six".