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1139459892480 = 28395721371
BaseRepresentation
bin10000100101001101000…
…110100010010100000000
311000221010220211000000000
4100211031012202110000
5122132103213024410
62231243300000000
7145215610164600
oct20451506422400
94027126730000
101139459892480
113aa273449288
12164a02990000
13835b1ca1c90
143d21603cc00
151e98ed4adc0
hex1094d1a2500

1139459892480 has 2160 divisors, whose sum is σ = 5200950674304. Its totient is φ = 237027409920.

The previous prime is 1139459892443. The next prime is 1139459892503. The reversal of 1139459892480 is 842989549311.

1139459892480 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 459 + 89 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16048730845 + ... + 16048730915.

Almost surely, 21139459892480 is an apocalyptic number.

1139459892480 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 1139459892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600475337152).

1139459892480 is an abundant number, since it is smaller than the sum of its proper divisors (4061490781824).

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

1139459892480 is an frugal number, since it uses more digits than its factorization.

1139459892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 1139459892480 in words is "one trillion, one hundred thirty-nine billion, four hundred fifty-nine million, eight hundred ninety-two thousand, four hundred eighty".