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1314334404324 = 2233101811148573
BaseRepresentation
bin10011001000000100011…
…011110110111011100100
311122122112020001122022000
4103020010123312323210
5133013224101414244
62443444043405300
7163646301050544
oct23100433667344
94578466048260
101314334404324
11467451563337
12192887b23830
1396c30a8b9a6
144788522d324
15242c75b1169
hex132046f6ee4

1314334404324 has 96 divisors (see below), whose sum is σ = 3445538033280. Its totient is φ = 433235952000.

The previous prime is 1314334404311. The next prime is 1314334404343. The reversal of 1314334404324 is 4234044334131.

1314334404324 is a `hidden beast` number, since 1 + 314 + 334 + 4 + 0 + 4 + 3 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8772102 + ... + 8920674.

It is an arithmetic number, because the mean of its divisors is an integer number (35891021180).

Almost surely, 21314334404324 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 1314334404324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722769016640).

1314334404324 is an abundant number, since it is smaller than the sum of its proper divisors (2131203628956).

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

1314334404324 is a wasteful number, since it uses less digits than its factorization.

1314334404324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149498 (or 149490 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 1314334404324 its reverse (4234044334131), we get a palindrome (5548378738455).

The spelling of 1314334404324 in words is "one trillion, three hundred fourteen billion, three hundred thirty-four million, four hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 811 909 1212 1622 1818 2433 2727 3244 3636 4866 5454 7299 9732 10908 14598 21897 29196 43794 81911 87588 148573 163822 245733 297146 327644 445719 491466 594292 737199 891438 982932 1337157 1474398 1782876 2211597 2674314 2948796 4011471 4423194 5348628 8022942 8846388 15005873 16045884 30011746 45017619 60023492 90035238 120492703 135052857 180070476 240985406 270105714 361478109 405158571 481970812 540211428 722956218 810317142 1084434327 1445912436 1620634284 2168868654 3253302981 4337737308 6506605962 12169763003 13013211924 24339526006 36509289009 48679052012 73018578018 109527867027 146037156036 219055734054 328583601081 438111468108 657167202162 1314334404324