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1314313272 = 233267272453
BaseRepresentation
bin100111001010110…
…1101010000111000
310101121010000212100
41032111231100320
510142431011042
6334230143400
744366323056
oct11625552070
93347100770
101314313272
11614994018
123081b1b60
1317c3a9b7c
14c67a91d6
157a5bb24c
hex4e56d438

1314313272 has 48 divisors (see below), whose sum is σ = 3612740040. Its totient is φ = 431563968.

The previous prime is 1314313271. The next prime is 1314313289. The reversal of 1314313272 is 2723134131.

It is a happy number.

1314313272 is a `hidden beast` number, since 131 + 431 + 32 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314313271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131403 + ... + 141050.

Almost surely, 21314313272 is an apocalyptic number.

1314313272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1314313272 is an abundant number, since it is smaller than the sum of its proper divisors (2298426768).

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

1314313272 is a wasteful number, since it uses less digits than its factorization.

1314313272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272532 (or 272525 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 1314313272 is about 36253.4587591308. The cubic root of 1314313272 is about 1095.3837599038.

The spelling of 1314313272 in words is "one billion, three hundred fourteen million, three hundred thirteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 272453 544906 817359 1089812 1634718 2179624 2452077 3269436 4904154 6538872 9808308 18254351 19616616 36508702 54763053 73017404 109526106 146034808 164289159 219052212 328578318 438104424 657156636 1314313272