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139486263840 = 25345711297131
BaseRepresentation
bin1000000111101000000…
…1110111101000100000
3111100001001000101020000
42001322001313220200
54241131440420330
6144025030420000
713035412452150
oct2017201675040
9440031011200
10139486263840
11541793a5600
1223049801600
13101cc30a8c1
146a732dc760
153965a93560
hex207a077a20

139486263840 has 1440 divisors, whose sum is σ = 629533441152. Its totient is φ = 28466380800.

The previous prime is 139486263827. The next prime is 139486263859. The reversal of 139486263840 is 48362684931.

139486263840 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 8 + 626 + 3 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×1394862638403 (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1064780575 + ... + 1064780705.

Almost surely, 2139486263840 is an apocalyptic number.

139486263840 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 139486263840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314766720576).

139486263840 is an abundant number, since it is smaller than the sum of its proper divisors (490047177312).

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

139486263840 is a wasteful number, since it uses less digits than its factorization.

139486263840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 139486263840 in words is "one hundred thirty-nine billion, four hundred eighty-six million, two hundred sixty-three thousand, eight hundred forty".