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1139418814464 = 2113475916631
BaseRepresentation
bin10000100101001010101…
…001110101100000000000
311000221001001112000120000
4100211022221311200000
5122132012204030324
62231235231320000
7145214601056610
oct20451251654000
94027031460500
101139418814464
113aa252241807
121649b1080000
13835a661b868
143d2107c8a40
151e98b4349c9
hex1094aa75800

1139418814464 has 480 divisors, whose sum is σ = 3955714963200. Its totient is φ = 320011223040.

The previous prime is 1139418814447. The next prime is 1139418814481. The reversal of 1139418814464 is 4644188149311.

1139418814464 is a `hidden beast` number, since 1 + 1 + 3 + 94 + 1 + 88 + 14 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (1139418814447) and next prime (1139418814481).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1139418814464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68503429 + ... + 68520059.

It is an arithmetic number, because the mean of its divisors is an integer number (8241072840).

Almost surely, 21139418814464 is an apocalyptic number.

1139418814464 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 1139418814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977857481600).

1139418814464 is an abundant number, since it is smaller than the sum of its proper divisors (2816296148736).

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

1139418814464 is an equidigital number, since it uses as much as digits as its factorization.

1139418814464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16731 (or 16702 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 1139418814464 in words is "one trillion, one hundred thirty-nine billion, four hundred eighteen million, eight hundred fourteen thousand, four hundred sixty-four".