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139913406397440 = 210335131731971523
BaseRepresentation
bin11111110100000000100000…
…111000110011110000000000
3200100101120221212002202022000
4133310000200320303300000
5121314320124014204230
61213323155341344000
741320260432563304
oct3764004070636000
9610346855082260
10139913406397440
1140642a40415a55
12138381a4868000
13600ba15544110
142679bb8983d04
15112970722cb60
hex7f4020e33c00

139913406397440 has 2816 divisors, whose sum is σ = 591685118115840. Its totient is φ = 31024931143680.

The previous prime is 139913406397421. The next prime is 139913406397451. The reversal of 139913406397440 is 44793604319931.

139913406397440 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 1 + 3 + 40 + 63 + 97 + 440 = 666.

It is a super-2 number, since 2×1399134063974402 (a number of 29 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 255 ways as a sum of consecutive naturals, for example, 91866976519 + ... + 91866978041.

Almost surely, 2139913406397440 is an apocalyptic number.

139913406397440 is a gapful number since it is divisible by the number (10) 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 139913406397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295842559057920).

139913406397440 is an abundant number, since it is smaller than the sum of its proper divisors (451771711718400).

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

139913406397440 is a wasteful number, since it uses less digits than its factorization.

139913406397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 139913406397440 in words is "one hundred thirty-nine trillion, nine hundred thirteen billion, four hundred six million, three hundred ninety-seven thousand, four hundred forty".