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1314304123132 = 2271113784141863
BaseRepresentation
bin10011001000000010101…
…000010110000011111100
311122122110010002012022101
4103020002220112003330
5133013143323420012
62443441042354444
7163645452501310
oct23100250260374
94578403065271
101314304123132
11467436460660
1219287995ba24
1396c27718a20
14478811c9b40
15242c4acdd57
hex13202a160fc

1314304123132 has 96 divisors (see below), whose sum is σ = 3088622767104. Its totient is φ = 472605235200.

The previous prime is 1314304123061. The next prime is 1314304123133. The reversal of 1314304123132 is 2313214034131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1314304123132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314304123133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31374433 + ... + 31416295.

It is an arithmetic number, because the mean of its divisors is an integer number (32173153824).

Almost surely, 21314304123132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314304123132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544311383552).

1314304123132 is an abundant number, since it is smaller than the sum of its proper divisors (1774318643972).

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

1314304123132 is a wasteful number, since it uses less digits than its factorization.

1314304123132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49739 (or 49737 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1314304123132 its reverse (2313214034131), we get a palindrome (3627518157263).

The spelling of 1314304123132 in words is "one trillion, three hundred fourteen billion, three hundred four million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 7841 15682 31364 41863 54887 83726 86251 101933 109774 167452 172502 203866 219548 293041 345004 407732 460493 544219 586082 603757 713531 920986 1088438 1121263 1172164 1207514 1427062 1841972 2176876 2242526 2415028 2854124 3223451 3809533 4485052 5986409 6446902 7619066 7848841 11972818 12893804 15238132 15697682 23945636 31395364 41904863 83809726 167619452 328247783 656495566 1312991132 2297734481 3610725613 4267221179 4595468962 7221451226 8534442358 9190937924 14442902452 17068884716 25275079291 29870548253 46939432969 50550158582 59741096506 93878865938 101100317164 119482193012 187757731876 328576030783 657152061566 1314304123132