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139877149104 = 24367211191171
BaseRepresentation
bin1000001001000101010…
…0111110100110110000
3111101001021112102000000
42002101110332212300
54242432022232404
6144131512430000
713051200102300
oct2022124764660
9441037472000
10139877149104
115435a005480
12231386a8300
13102622aa564
146aad1ad600
15398a056339
hex209153e9b0

139877149104 has 840 divisors, whose sum is σ = 543244783680. Its totient is φ = 34390137600.

The previous prime is 139877149099. The next prime is 139877149109. The reversal of 139877149104 is 401941778931.

It is a happy number.

139877149104 is a `hidden beast` number, since 1 + 3 + 9 + 87 + 71 + 491 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (139877149099) and next prime (139877149109).

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

It is not an unprimeable number, because it can be changed into a prime (139877149109) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 119450439 + ... + 119451609.

Almost surely, 2139877149104 is an apocalyptic number.

139877149104 is a gapful number since it is divisible by the number (14) 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 139877149104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271622391840).

139877149104 is an abundant number, since it is smaller than the sum of its proper divisors (403367634576).

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

139877149104 is a wasteful number, since it uses less digits than its factorization.

139877149104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 139877149104 in words is "one hundred thirty-nine billion, eight hundred seventy-seven million, one hundred forty-nine thousand, one hundred four".