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1314295983 = 337211136947
BaseRepresentation
bin100111001010110…
…1001000010101111
310101121002011011000
41032111221002233
510142424432413
6334225531343
744366221500
oct11625510257
93347064130
101314295983
11614982030
123081a3b53
1317c3a2040
14c67a2ba7
157a5b6073
hex4e5690af

1314295983 has 96 divisors (see below), whose sum is σ = 2661361920. Its totient is φ = 630141120.

The previous prime is 1314295967. The next prime is 1314296003. The reversal of 1314295983 is 3895924131.

It is a happy number.

1314295983 is a `hidden beast` number, since 1 + 31 + 4 + 29 + 598 + 3 = 666.

It is not a de Polignac number, because 1314295983 - 24 = 1314295967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314295943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185716 + ... + 192662.

It is an arithmetic number, because the mean of its divisors is an integer number (27722520).

Almost surely, 21314295983 is an apocalyptic number.

1314295983 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1314295983 is an abundant number, since it is smaller than the sum of its proper divisors (1347065937).

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

1314295983 is a wasteful number, since it uses less digits than its factorization.

1314295983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6981 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 1314295983 is about 36253.2203121323. The cubic root of 1314295983 is about 1095.3789568448.

The spelling of 1314295983 in words is "one billion, three hundred fourteen million, two hundred ninety-five thousand, nine hundred eighty-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 49 63 77 91 99 117 143 147 189 231 273 297 351 429 441 539 637 693 819 1001 1287 1323 1617 1911 2079 2457 3003 3861 4851 5733 6947 7007 9009 14553 17199 20841 21021 27027 48629 62523 63063 76417 90311 145887 187569 189189 229251 270933 340403 437661 534919 632177 687753 812799 993421 1021209 1312983 1604757 1896531 2063259 2438397 2980263 3063627 3744433 4425239 4814271 5689593 6953947 8940789 9190881 11233299 13275717 14442813 17068779 20861841 26822367 33699897 39827151 48677629 62585523 101099691 119481453 146032887 187756569 438098661 1314295983