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1139914368 = 273229149229
BaseRepresentation
bin100001111110001…
…1011011010000000
32221102221122112200
41003330123122000
54313304224433
6305040153200
740151053335
oct10374333200
92842848480
101139914368
115354a759a
12279908800
13152217558
14ab56c98c
156a11c613
hex43f1b680

1139914368 has 192 divisors, whose sum is σ = 3431025000. Its totient is φ = 362815488.

The previous prime is 1139914343. The next prime is 1139914411. The reversal of 1139914368 is 8634199311.

It can be written as a sum of positive squares in 4 ways, for example, as 1014295104 + 125619264 = 31848^2 + 11208^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×11399143683 (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4977678 + ... + 4977906.

Almost surely, 21139914368 is an apocalyptic number.

1139914368 is a gapful number since it is divisible by the number (18) 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 1139914368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715512500).

1139914368 is an abundant number, since it is smaller than the sum of its proper divisors (2291110632).

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

1139914368 is a wasteful number, since it uses less digits than its factorization.

1139914368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 1139914368 is about 33762.6179079763. The cubic root of 1139914368 is about 1044.6177697496.

The spelling of 1139914368 in words is "one billion, one hundred thirty-nine million, nine hundred fourteen thousand, three hundred sixty-eight".