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140022630072 = 233313614191951
BaseRepresentation
bin1000001001100111111…
…1111100011010111000
3111101102102021121101000
42002121333330122320
54243231243130242
6144154150525000
713054614501123
oct2023177743270
9441372247330
10140022630072
1154424140486
1223179366760
1310286486580
146ac463d3ba
153997be1a4c
hex2099ffc6b8

140022630072 has 256 divisors, whose sum is σ = 426972672000. Its totient is φ = 42254784000.

The previous prime is 140022629993. The next prime is 140022630157. The reversal of 140022630072 is 270036220041.

140022630072 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 22 + 630 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71768697 + ... + 71770647.

It is an arithmetic number, because the mean of its divisors is an integer number (1667862000).

Almost surely, 2140022630072 is an apocalyptic number.

140022630072 is a gapful number since it is divisible by the number (12) 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 140022630072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213486336000).

140022630072 is an abundant number, since it is smaller than the sum of its proper divisors (286950041928).

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

140022630072 is a wasteful number, since it uses less digits than its factorization.

140022630072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 140022630072 in words is "one hundred forty billion, twenty-two million, six hundred thirty thousand, seventy-two".