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139679330040 = 23335316773853
BaseRepresentation
bin1000001000010110001…
…0010110111011111000
3111100112111022011021000
42002011202112323320
54242030402030130
6144100124445000
713043245500315
oct2020542267370
9440474264230
10139679330040
1154268382048
12230a23a9760
1310230307b63
146a90bd7d0c
1539779cd260
hex2085896ef8

139679330040 has 512 divisors, whose sum is σ = 495052185600. Its totient is φ = 34980802560.

The previous prime is 139679330039. The next prime is 139679330041. The reversal of 139679330040 is 40033976931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (139679330039) and next prime (139679330041).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139679330041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 163750254 + ... + 163751106.

It is an arithmetic number, because the mean of its divisors is an integer number (966898800).

Almost surely, 2139679330040 is an apocalyptic number.

139679330040 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 139679330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247526092800).

139679330040 is an abundant number, since it is smaller than the sum of its proper divisors (355372855560).

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

139679330040 is a wasteful number, since it uses less digits than its factorization.

139679330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 139679330040 in words is "one hundred thirty-nine billion, six hundred seventy-nine million, three hundred thirty thousand, forty".