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1134990144 = 2634218941
BaseRepresentation
bin100001110100110…
…1001001101000000
32221002200110210000
41003221221031000
54311024141034
6304342440000
740061154111
oct10351511500
92832613700
101134990144
11532743992
12278133000
131511b2102
14aaa4a208
1569998599
hex43a69340

1134990144 has 70 divisors (see below), whose sum is σ = 3364481714. Its totient is φ = 378328320.

The previous prime is 1134990127. The next prime is 1134990173. The reversal of 1134990144 is 4410994311.

It can be written as a sum of positive squares in only one way, i.e., 620607744 + 514382400 = 24912^2 + 22680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1134990099 and 1134990108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 104287 + ... + 114654.

Almost surely, 21134990144 is an apocalyptic number.

It is an amenable number.

1134990144 is an abundant number, since it is smaller than the sum of its proper divisors (2229491570).

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

1134990144 is an equidigital number, since it uses as much as digits as its factorization.

1134990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218965 (or 218946 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1134990144 is about 33689.6147796320. The cubic root of 1134990144 is about 1043.1114119575. Note that the first 3 decimals are identical.

The spelling of 1134990144 in words is "one billion, one hundred thirty-four million, nine hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 218941 437882 656823 875764 1313646 1751528 1970469 2627292 3503056 3940938 5254584 5911407 7006112 7881876 10509168 11822814 14012224 15763752 17734221 21018336 23645628 31527504 35468442 42036672 47291256 63055008 70936884 94582512 126110016 141873768 189165024 283747536 378330048 567495072 1134990144