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139506352440 = 233571318896763
BaseRepresentation
bin1000000111101100111…
…0100000000100111000
3111100002102210222121020
42001323032200010320
54241202111234230
6144031025142440
713036045300410
oct2017316400470
9440072728536
10139506352440
1154189776454
122305448aa20
1310203522450
146a75c4b640
153967710810
hex207b3a0138

139506352440 has 256 divisors, whose sum is σ = 515449267200. Its totient is φ = 29414375424.

The previous prime is 139506352439. The next prime is 139506352463. The reversal of 139506352440 is 44253605931.

139506352440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1395063524402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 139506352392 and 139506352401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20624499 + ... + 20631261.

It is an arithmetic number, because the mean of its divisors is an integer number (2013473700).

Almost surely, 2139506352440 is an apocalyptic number.

139506352440 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 139506352440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257724633600).

139506352440 is an abundant number, since it is smaller than the sum of its proper divisors (375942914760).

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

139506352440 is a wasteful number, since it uses less digits than its factorization.

139506352440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8686 (or 8682 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 139506352440 in words is "one hundred thirty-nine billion, five hundred six million, three hundred fifty-two thousand, four hundred forty".