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140254368408 = 233271179431743
BaseRepresentation
bin1000001010011111001…
…1111101001010011000
3111102000120100010121100
42002213303331022120
54244220104242113
6144233145511400
713063430314110
oct2024763751230
9442016303540
10140254368408
1154532a30970
1223222aa2560
13102c24a3b4b
146b07324040
1539ad219d73
hex20a7cfd298

140254368408 has 384 divisors, whose sum is σ = 481340620800. Its totient is φ = 35836819200.

The previous prime is 140254368367. The next prime is 140254368451. The reversal of 140254368408 is 804863452041.

140254368408 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 543 + 68 + 40 + 8 = 666.

140254368408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188767285 + ... + 188768027.

It is an arithmetic number, because the mean of its divisors is an integer number (1253491200).

Almost surely, 2140254368408 is an apocalyptic number.

140254368408 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 140254368408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240670310400).

140254368408 is an abundant number, since it is smaller than the sum of its proper divisors (341086252392).

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

140254368408 is a wasteful number, since it uses less digits than its factorization.

140254368408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 140254368408 in words is "one hundred forty billion, two hundred fifty-four million, three hundred sixty-eight thousand, four hundred eight".