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139805969974272 = 2103472310469233
BaseRepresentation
bin11111110010011100011101…
…001011011000010000000000
3200100000022122102111222020000
4133302130131023120100000
5121311040111303134042
61213201550450120000
741306435160213630
oct3762343513302000
9610008572458200
10139805969974272
1140601419353088
121381b400580000
1360018531a66a4
1426749060406c0
151126a1a21d74c
hex7f271d2d8400

139805969974272 has 440 divisors, whose sum is σ = 497873887057536. Its totient is φ = 38207839076352.

The previous prime is 139805969974267. The next prime is 139805969974277. The reversal of 139805969974272 is 272479969508931.

139805969974272 is a `hidden beast` number, since 1 + 3 + 9 + 80 + 59 + 69 + 9 + 7 + 427 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (139805969974267) and next prime (139805969974277).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 139805969974191 and 139805969974200.

It is not an unprimeable number, because it can be changed into a prime (139805969974277) 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, 8119368 + ... + 18588600.

It is a 1-persistent number, because it is pandigital, but 2⋅139805969974272 = 279611939948544 is not.

Almost surely, 2139805969974272 is an apocalyptic number.

139805969974272 is a gapful number since it is divisible by the number (12) 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 139805969974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248936943528768).

139805969974272 is an abundant number, since it is smaller than the sum of its proper divisors (358067917083264).

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

139805969974272 is a wasteful number, since it uses less digits than its factorization.

139805969974272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469295 (or 10469268 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 139805969974272 in words is "one hundred thirty-nine trillion, eight hundred five billion, nine hundred sixty-nine million, nine hundred seventy-four thousand, two hundred seventy-two".