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1314013401232 = 24731724752223
BaseRepresentation
bin10011000111110001010…
…011010101000010010000
311122121200212000222211121
4103013301103111002100
5133012044412314412
62443352135252024
7163635322423510
oct23076123250220
94577625028747
101314013401232
114672a7343a24
121927b851a014
1396bac41902c
144785474d840
15242a9304107
hex131f14d5090

1314013401232 has 80 divisors (see below), whose sum is σ = 3003931164672. Its totient is φ = 544896881280.

The previous prime is 1314013401221. The next prime is 1314013401257. The reversal of 1314013401232 is 2321043104131.

It is a junction number, because it is equal to n+sod(n) for n = 1314013401197 and 1314013401206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25135473 + ... + 25187695.

Almost surely, 21314013401232 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 1314013401232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501965582336).

1314013401232 is an abundant number, since it is smaller than the sum of its proper divisors (1689917763440).

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

1314013401232 is a wasteful number, since it uses less digits than its factorization.

1314013401232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59516 (or 59510 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1314013401232 its reverse (2321043104131), we get a palindrome (3635056505363).

The spelling of 1314013401232 in words is "one trillion, three hundred fourteen billion, thirteen million, four hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 7247 14494 28988 50729 52223 57976 101458 104446 115952 202916 208892 224657 365561 405832 417784 449314 731122 811664 835568 898628 1462244 1572599 1618913 1797256 2924488 3145198 3237826 3594512 5848976 6290396 6475652 11332391 12580792 12951304 22664782 25161584 25902608 45329564 90659128 181318256 378460081 756920162 1513840324 2649220567 3027680648 5298441134 6055361296 10596882268 11732262511 21193764536 23464525022 42387529072 46929050044 82125837577 93858100088 164251675154 187716200176 328503350308 657006700616 1314013401232