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139345839360 = 283257213171117
BaseRepresentation
bin1000000111000110101…
…0001100010100000000
3111022200020210002001100
42001301222030110000
54240340013324420
6144003052534400
713032056043300
oct2016152142400
9438606702040
10139345839360
1154107103612
122300a781400
13101a91b22b0
146a5c7c7600
1539585a6190
hex2071a8c500

139345839360 has 1296 divisors, whose sum is σ = 640077708816. Its totient is φ = 27646230528.

The previous prime is 139345839359. The next prime is 139345839361. The reversal of 139345839360 is 63938543931.

139345839360 is a `hidden beast` number, since 13 + 93 + 458 + 3 + 93 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (139345839359) and next prime (139345839361).

It can be written as a sum of positive squares in 8 ways, for example, as 21658420224 + 117687419136 = 147168^2 + 343056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 139345839297 and 139345839306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139345839361) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124749522 + ... + 124750638.

It is an arithmetic number, because the mean of its divisors is an integer number (493887121).

Almost surely, 2139345839360 is an apocalyptic number.

139345839360 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 139345839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320038854408).

139345839360 is an abundant number, since it is smaller than the sum of its proper divisors (500731869456).

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

139345839360 is a wasteful number, since it uses less digits than its factorization.

139345839360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 139345839360 in words is "one hundred thirty-nine billion, three hundred forty-five million, eight hundred thirty-nine thousand, three hundred sixty".