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1138214016 = 2732988033
BaseRepresentation
bin100001111010111…
…1100010010000000
32221022202021002200
41003311330102000
54312340322031
6304535513200
740130442132
oct10365742200
92838667080
101138214016
11534546045
12279228800
13151a70624
14ab249052
1569dd38e6
hex43d7c480

1138214016 has 48 divisors (see below), whose sum is σ = 3275332710. Its totient is φ = 379404288.

The previous prime is 1138213987. The next prime is 1138214027. The reversal of 1138214016 is 6104128311.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 641102400 + 497111616 = 25320^2 + 22296^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11382140162 = 2591062292437696512, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 492865 + ... + 495168.

Almost surely, 21138214016 is an apocalyptic number.

1138214016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1138214016 is an abundant number, since it is smaller than the sum of its proper divisors (2137118694).

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

1138214016 is an equidigital number, since it uses as much as digits as its factorization.

1138214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988053 (or 988038 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1138214016 is about 33737.4275249314. The cubic root of 1138214016 is about 1044.0981103024.

The spelling of 1138214016 in words is "one billion, one hundred thirty-eight million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 988033 1976066 2964099 3952132 5928198 7904264 8892297 11856396 15808528 17784594 23712792 31617056 35569188 47425584 63234112 71138376 94851168 126468224 142276752 189702336 284553504 379404672 569107008 1138214016