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1139339934720 = 210345131731401
BaseRepresentation
bin10000100101000101111…
…100111011110000000000
311000220211120002111220000
4100211011330323300000
5122131332010402340
62231223332520000
7145212622440531
oct20450574736000
94026746074800
101139339934720
113aa211766239
1216498a780000
1383593191360
143d204134688
151e984552d30
hex10945f3bc00

1139339934720 has 1760 divisors, whose sum is σ = 4817603298816. Its totient is φ = 254803968000.

The previous prime is 1139339934673. The next prime is 1139339934739. The reversal of 1139339934720 is 274399339311.

1139339934720 is a `hidden beast` number, since 1 + 139 + 3 + 39 + 9 + 3 + 472 + 0 = 666.

It is a super-2 number, since 2×11393399347202 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2841246520 + ... + 2841246920.

Almost surely, 21139339934720 is an apocalyptic number.

1139339934720 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 1139339934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408801649408).

1139339934720 is an abundant number, since it is smaller than the sum of its proper divisors (3678263364096).

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

1139339934720 is a wasteful number, since it uses less digits than its factorization.

1139339934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 1139339934720 in words is "one trillion, one hundred thirty-nine billion, three hundred thirty-nine million, nine hundred thirty-four thousand, seven hundred twenty".