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139409187840 = 21032513409569
BaseRepresentation
bin1000000111010101101…
…1110110010000000000
3111022211122222111211100
42001311123312100000
54241002223002330
6144013234414400
713033455354606
oct2016533662000
9438748874740
10139409187840
115413994122a
1223027a31400
13101b93623c0
146a66d97876
15395de1b060
hex20756f6400

139409187840 has 528 divisors, whose sum is σ = 522395218800. Its totient is φ = 34172043264.

The previous prime is 139409187809. The next prime is 139409187877. The reversal of 139409187840 is 48781904931.

139409187840 is a `hidden beast` number, since 13 + 9 + 409 + 187 + 8 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5839405056 + 133569782784 = 76416^2 + 365472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245007076 + ... + 245007644.

Almost surely, 2139409187840 is an apocalyptic number.

139409187840 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 139409187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261197609400).

139409187840 is an abundant number, since it is smaller than the sum of its proper divisors (382986030960).

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

139409187840 is a wasteful number, since it uses less digits than its factorization.

139409187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 139409187840 in words is "one hundred thirty-nine billion, four hundred nine million, one hundred eighty-seven thousand, eight hundred forty".