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1314132310452 = 2231341401351199
BaseRepresentation
bin10011000111111000011…
…000111011100110110100
311122122000010210012121210
4103013320120323212310
5133012320332413302
62443412024041420
7163641265222563
oct23077030734664
94578003705553
101314132310452
11467358480205
12192830303270
1396bcac50610
1447866463bda
15242b499166c
hex131f863b9b4

1314132310452 has 96 divisors (see below), whose sum is σ = 3383628595200. Its totient is φ = 394380241920.

The previous prime is 1314132310429. The next prime is 1314132310459. The reversal of 1314132310452 is 2540132314131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314132310459) 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, 25641549 + ... + 25692747.

It is an arithmetic number, because the mean of its divisors is an integer number (35246131200).

Almost surely, 21314132310452 is an apocalyptic number.

1314132310452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314132310452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691814297600).

1314132310452 is an abundant number, since it is smaller than the sum of its proper divisors (2069496284748).

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

1314132310452 is a wasteful number, since it uses less digits than its factorization.

1314132310452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55273 (or 55271 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 1314132310452 its reverse (2540132314131), we get a palindrome (3854264624583).

The spelling of 1314132310452 in words is "one trillion, three hundred fourteen billion, one hundred thirty-two million, three hundred ten thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 2132 3198 4013 6396 8026 12039 16052 24078 48156 51199 52169 102398 104338 153597 156507 164533 204796 208676 307194 313014 329066 493599 614388 626028 658132 665587 987198 1331174 1974396 1996761 2099159 2138929 2662348 3993522 4198318 4277858 6297477 6416787 7987044 8396636 8555716 12594954 12833574 25189908 25667148 27289067 54578134 81867201 109156268 163734402 205461587 327468804 410923174 616384761 821846348 1232769522 2465539044 2671000631 5342001262 8013001893 8423925067 10684002524 16026003786 16847850134 25271775201 32052007572 33695700268 50543550402 101087100804 109511025871 219022051742 328533077613 438044103484 657066155226 1314132310452