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139842920448 = 2133472111723
BaseRepresentation
bin1000001000111101001…
…0011010000000000000
3111100221220010102010000
42002033102122000000
54242344241423243
6144124251040000
713050303132300
oct2021722320000
9440856112100
10139842920448
1154341756a30
1223129140000
131025818490a
146aa881d600
1539870445d3
hex208f49a000

139842920448 has 1680 divisors, whose sum is σ = 585758568384. Its totient is φ = 32699842560.

The previous prime is 139842920423. The next prime is 139842920449. The reversal of 139842920448 is 844029248931.

It is a happy number.

139842920448 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 429 + 204 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 139842920394 and 139842920403.

It is not an unprimeable number, because it can be changed into a prime (139842920449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6080126965 + ... + 6080126987.

Almost surely, 2139842920448 is an apocalyptic number.

139842920448 is a gapful number since it is divisible by the number (18) 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 139842920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292879284192).

139842920448 is an abundant number, since it is smaller than the sum of its proper divisors (445915647936).

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

139842920448 is a wasteful number, since it uses less digits than its factorization.

139842920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 139842920448 in words is "one hundred thirty-nine billion, eight hundred forty-two million, nine hundred twenty thousand, four hundred forty-eight".