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1139640060384 = 25327280999823
BaseRepresentation
bin10000100101010111110…
…101110100100111100000
311000221121110211110220100
4100211113311310213200
5122132440323413014
62231313213342400
7145223225452500
oct20452765644740
94027543743810
101139640060384
113aa356116081
12164a53197a00
13836104043c7
143d231d3ba00
151e9a0a89009
hex10957d749e0

1139640060384 has 216 divisors, whose sum is σ = 3774667871520. Its totient is φ = 325205701632.

The previous prime is 1139640060359. The next prime is 1139640060457. The reversal of 1139640060384 is 4830600469311.

1139640060384 is a `hidden beast` number, since 1 + 1 + 39 + 6 + 4 + 0 + 0 + 603 + 8 + 4 = 666.

It is a super-3 number, since 3×11396400603843 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11366697 + ... + 11466519.

It is an arithmetic number, because the mean of its divisors is an integer number (17475314220).

Almost surely, 21139640060384 is an apocalyptic number.

1139640060384 is a gapful number since it is divisible by the number (14) 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 1139640060384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887333935760).

1139640060384 is an abundant number, since it is smaller than the sum of its proper divisors (2635027811136).

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

1139640060384 is a wasteful number, since it uses less digits than its factorization.

1139640060384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100662 (or 100644 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1139640060384 in words is "one trillion, one hundred thirty-nine billion, six hundred forty million, sixty thousand, three hundred eighty-four".