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1356102144 = 2932294293
BaseRepresentation
bin101000011010100…
…0111101000000000
310111111202010102100
41100311013220000
510234130232034
6342321550400
745414451365
oct12065075000
93444663370
101356102144
11636536681
1231a1a5400
13187c4ba07
14cc16646c
157e0c3099
hex50d47a00

1356102144 has 60 divisors (see below), whose sum is σ = 3913815906. Its totient is φ = 452032512.

The previous prime is 1356102113. The next prime is 1356102179. The reversal of 1356102144 is 4412016531.

It is a happy number.

1356102144 is a `hidden beast` number, since 1 + 3 + 5 + 610 + 2 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 735494400 + 620607744 = 27120^2 + 24912^2 .

It is a super-2 number, since 2×13561021442 = 3678026049922793472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142539 + ... + 151754.

Almost surely, 21356102144 is an apocalyptic number.

It is an amenable number.

1356102144 is an abundant number, since it is smaller than the sum of its proper divisors (2557713762).

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

1356102144 is an equidigital number, since it uses as much as digits as its factorization.

1356102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294317 (or 294298 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1356102144 is about 36825.2921780670. The cubic root of 1356102144 is about 1106.8721684144.

Adding to 1356102144 its reverse (4412016531), we get a palindrome (5768118675).

The spelling of 1356102144 in words is "one billion, three hundred fifty-six million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 294293 588586 882879 1177172 1765758 2354344 2648637 3531516 4708688 5297274 7063032 9417376 10594548 14126064 18834752 21189096 28252128 37669504 42378192 56504256 75339008 84756384 113008512 150678016 169512768 226017024 339025536 452034048 678051072 1356102144