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139444511232672 = 2534375327433981
BaseRepresentation
bin11111101101001011110100…
…100011101101001010100000
3200021201202122202010101110000
4133231023310203231022200
5121234124324333421142
61212323531334540000
741241350660464512
oct3755136443551240
9607652582111400
10139444511232672
11404820a3309658
1213781344807600
135ca673a642bb9
142661216805bb2
15111c41221214c
hex7ed2f48ed2a0

139444511232672 has 240 divisors, whose sum is σ = 429133210300872. Its totient is φ = 44371938723840.

The previous prime is 139444511232641. The next prime is 139444511232673. The reversal of 139444511232672 is 276232115444931.

139444511232672 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 4 + 451 + 123 + 2 + 67 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120535893885456 + 18908617347216 = 10978884^2 + 4348404^2 .

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 (139444511232673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8634079 + ... + 18799902.

Almost surely, 2139444511232672 is an apocalyptic number.

139444511232672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

139444511232672 is an abundant number, since it is smaller than the sum of its proper divisors (289688699068200).

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

139444511232672 is a wasteful number, since it uses less digits than its factorization.

139444511232672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27434093 (or 27434076 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 139444511232672 in words is "one hundred thirty-nine trillion, four hundred forty-four billion, five hundred eleven million, two hundred thirty-two thousand, six hundred seventy-two".