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140586254172 = 22327213291791181
BaseRepresentation
bin1000001011101110010…
…1111111111101011100
3111102212200211200021200
42002323211333331130
54300410040113142
6144330123155500
713104600305100
oct2027345777534
9442780750250
10140586254172
1154693303621
12232b6075b90
1310346187060
146b39437900
1539cc42664c
hex20bb97ff5c

140586254172 has 432 divisors, whose sum is σ = 463506170400. Its totient is φ = 35569013760.

The previous prime is 140586254161. The next prime is 140586254183. The reversal of 140586254172 is 271452685041.

140586254172 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 8 + 625 + 4 + 17 + 2 = 666.

140586254172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (140586254161) and next prime (140586254183).

It is a super-2 number, since 2×1405862541722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119039422 + ... + 119040602.

It is an arithmetic number, because the mean of its divisors is an integer number (1072930950).

Almost surely, 2140586254172 is an apocalyptic number.

140586254172 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 140586254172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231753085200).

140586254172 is an abundant number, since it is smaller than the sum of its proper divisors (322919916228).

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

140586254172 is a wasteful number, since it uses less digits than its factorization.

140586254172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 140586254172 in words is "one hundred forty billion, five hundred eighty-six million, two hundred fifty-four thousand, one hundred seventy-two".