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1314230412 = 2231179193653
BaseRepresentation
bin100111001010101…
…1001000010001100
310101120221211012110
41032111121002030
510142420333122
6334224304020
744365526355
oct11625310214
93346854173
101314230412
11614937840
12308172010
1317c37b241
14c6786d2c
157a5a190c
hex4e55908c

1314230412 has 96 divisors (see below), whose sum is σ = 3410426880. Its totient is φ = 390574080.

The previous prime is 1314230353. The next prime is 1314230443. The reversal of 1314230412 is 2140324131.

It is a super-3 number, since 3×13142304123 (a number of 28 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2012278 + ... + 2012930.

It is an arithmetic number, because the mean of its divisors is an integer number (35525280).

Almost surely, 21314230412 is an apocalyptic number.

1314230412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314230412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705213440).

1314230412 is an abundant number, since it is smaller than the sum of its proper divisors (2096196468).

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

1314230412 is a wasteful number, since it uses less digits than its factorization.

1314230412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1314230412 is about 36252.3159536050. The cubic root of 1314230412 is about 1095.3607401749.

Adding to 1314230412 its reverse (2140324131), we get a palindrome (3454554543).

The spelling of 1314230412 in words is "one billion, three hundred fourteen million, two hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 193 237 316 386 474 579 653 772 869 948 1158 1306 1738 1959 2123 2316 2607 2612 3476 3918 4246 5214 6369 7183 7836 8492 10428 12738 14366 15247 21549 25476 28732 30494 43098 45741 51587 60988 86196 91482 103174 126029 154761 167717 182964 206348 252058 309522 335434 378087 503151 504116 567457 619044 670868 756174 1006302 1134914 1386319 1512348 1702371 2012604 2269828 2772638 3404742 4158957 5545276 6809484 8317914 9956291 16635828 19912582 29868873 39825164 59737746 109519201 119475492 219038402 328557603 438076804 657115206 1314230412