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1314014223132 = 22321316091745011
BaseRepresentation
bin10011000111110001010…
…110011101101100011100
311122121200220120202021100
4103013301112131230130
5133012100120120012
62443352205033100
7163635332415642
oct23076126355434
94577626522240
101314014223132
114672a7855486
121927b8855790
1396bac646170
14478548c5192
15242a94178dc
hex131f159db1c

1314014223132 has 72 divisors (see below), whose sum is σ = 3579263913680. Its totient is φ = 404060555520.

The previous prime is 1314014223121. The next prime is 1314014223133. The reversal of 1314014223132 is 2313224104131.

1314014223132 is a `hidden beast` number, since 1 + 3 + 1 + 401 + 4 + 223 + 1 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1314014223096 and 1314014223105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314014223133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119494 + ... + 1625517.

Almost surely, 21314014223132 is an apocalyptic number.

1314014223132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1314014223132 is an abundant number, since it is smaller than the sum of its proper divisors (2265249690548).

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

1314014223132 is a wasteful number, since it uses less digits than its factorization.

1314014223132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746643 (or 1746638 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1314014223132 its reverse (2313224104131), we get a palindrome (3627238327263).

The spelling of 1314014223132 in words is "one trillion, three hundred fourteen billion, fourteen million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1609 3218 4827 6436 9654 14481 19308 20917 28962 41834 57924 62751 83668 125502 188253 251004 376506 753012 1745011 3490022 5235033 6980044 10470066 15705099 20940132 22685143 31410198 45370286 62820396 68055429 90740572 136110858 204166287 272221716 408332574 816665148 2807722699 5615445398 8423168097 11230890796 16846336194 25269504291 33692672388 36500395087 50539008582 73000790174 101078017164 109501185261 146001580348 219002370522 328503555783 438004741044 657007111566 1314014223132