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139305441920 = 27517431312273
BaseRepresentation
bin1000000110111101000…
…0000101101010000000
3111022120102202200011212
42001233100011222000
54240244143120140
6143555051025252
713031055501431
oct2015720055200
9438512680155
10139305441920
11540963213a7
1222bb913b228
13101a0a09898
146a572ad488
153954c76765
hex206f405a80

139305441920 has 256 divisors, whose sum is σ = 363731575680. Its totient is φ = 50811371520.

The previous prime is 139305441911. The next prime is 139305441949. The reversal of 139305441920 is 29144503931.

It is a super-2 number, since 2×1393054419202 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61285904 + ... + 61288176.

Almost surely, 2139305441920 is an apocalyptic number.

139305441920 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 139305441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181865787840).

139305441920 is an abundant number, since it is smaller than the sum of its proper divisors (224426133760).

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

139305441920 is a wasteful number, since it uses less digits than its factorization.

139305441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The spelling of 139305441920 in words is "one hundred thirty-nine billion, three hundred five million, four hundred forty-one thousand, nine hundred twenty".