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1314013032324 = 223247827939061
BaseRepresentation
bin10011000111110001010…
…001111010111110000100
311122121200211100020210100
4103013301101322332010
5133012044314013244
62443352123324100
7163635316326126
oct23076121727604
94577624306710
101314013032324
114672a7111843
121927b8380630
1396bac31a145
1447854695216
15242a927eb69
hex131f147af84

1314013032324 has 72 divisors (see below), whose sum is σ = 3396309291648. Its totient is φ = 428166285120.

The previous prime is 1314013032313. The next prime is 1314013032349. The reversal of 1314013032324 is 4232303104131.

It is a happy number.

1314013032324 is a `hidden beast` number, since 1 + 31 + 4 + 0 + 1 + 303 + 2 + 324 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929754 + ... + 1868814.

It is an arithmetic number, because the mean of its divisors is an integer number (47170962384).

Almost surely, 21314013032324 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 1314013032324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698154645824).

1314013032324 is an abundant number, since it is smaller than the sum of its proper divisors (2082296259324).

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

1314013032324 is a wasteful number, since it uses less digits than its factorization.

1314013032324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939945 (or 939940 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1314013032324 its reverse (4232303104131), we get a palindrome (5546316136455).

The spelling of 1314013032324 in words is "one trillion, three hundred fourteen billion, thirteen million, thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 827 846 1654 1692 2481 3308 4962 7443 9924 14886 29772 38869 77738 116607 155476 233214 349821 466428 699642 939061 1399284 1878122 2817183 3756244 5634366 8451549 11268732 16903098 33806196 44135867 88271734 132407601 176543468 264815202 397222803 529630404 776603447 794445606 1553206894 1588891212 2329810341 3106413788 4659620682 6989431023 9319241364 13978862046 27957724092 36500362009 73000724018 109501086027 146001448036 219002172054 328503258081 438004344108 657006516162 1314013032324