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140256929268 = 223417536771101
BaseRepresentation
bin1000001010011111110…
…1101110010111110100
3111102000202011020110000
42002213331232113310
54244221233214033
6144233320431300
713063461141141
oct2024775562764
9442022136400
10140256929268
115453441a985
1223223918530
13102c2b8c651
146b077cd3c8
1539ad573a13
hex20a7f6e5f4

140256929268 has 480 divisors, whose sum is σ = 411141443328. Its totient is φ = 41513472000.

The previous prime is 140256929249. The next prime is 140256929287. The reversal of 140256929268 is 862929652041.

140256929268 is a `hidden beast` number, since 1 + 40 + 256 + 9 + 292 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (140256929249) and next prime (140256929287).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1388682418 + ... + 1388682518.

Almost surely, 2140256929268 is an apocalyptic number.

140256929268 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 140256929268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205570721664).

140256929268 is an abundant number, since it is smaller than the sum of its proper divisors (270884514060).

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

140256929268 is a wasteful number, since it uses less digits than its factorization.

140256929268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 140256929268 in words is "one hundred forty billion, two hundred fifty-six million, nine hundred twenty-nine thousand, two hundred sixty-eight".