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1314045465255 = 3351929112915647
BaseRepresentation
bin10011000111110011001…
…101101001001010100111
311122121210002101000102000
4103013303031221022213
5133012131114342010
62443355242420343
7163636162106565
oct23076315511247
94577702330360
101314045465255
11467313454116
121928072016b3
1396bb5c64623
1447858ad8a35
15242ac0397c0
hex131f33692a7

1314045465255 has 128 divisors (see below), whose sum is σ = 2546242560000. Its totient is φ = 640435590144.

The previous prime is 1314045465253. The next prime is 1314045465269. The reversal of 1314045465255 is 5525645404131.

1314045465255 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 4 + 546 + 52 + 55 = 666.

It is not a de Polignac number, because 1314045465255 - 21 = 1314045465253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1314045465255.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314045465253) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83972842 + ... + 83988488.

It is an arithmetic number, because the mean of its divisors is an integer number (19892520000).

Almost surely, 21314045465255 is an apocalyptic number.

1314045465255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1314045465255 is a deficient number, since it is larger than the sum of its proper divisors (1232197094745).

1314045465255 is a wasteful number, since it uses less digits than its factorization.

1314045465255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16838 (or 16832 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 1314045465255 in words is "one trillion, three hundred fourteen billion, forty-five million, four hundred sixty-five thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 19 27 29 45 57 87 95 135 145 171 261 285 435 513 551 783 855 1129 1305 1653 2565 2755 3387 3915 4959 5645 8265 10161 14877 15647 16935 21451 24795 30483 32741 46941 50805 64353 74385 78235 98223 107255 140823 152415 163705 193059 234705 294669 297293 321765 422469 453763 491115 579177 622079 704115 884007 891879 965295 1361289 1473345 1486465 1866237 2112345 2268815 2675637 2895885 3110395 4083867 4420035 4459395 5598711 6806445 8026911 8621497 9331185 12251601 13378185 16796133 17665463 20419335 25864491 27993555 40134555 43107485 52996389 61258005 77593473 83980665 88327315 129322455 158989167 232780419 264981945 335643797 387967365 476967501 512298427 794945835 1006931391 1163902095 1536895281 1678218985 2384837505 2561492135 3020794173 4610685843 5034656955 7684476405 9062382519 9733670113 13832057529 15103970865 23053429215 29201010339 45311912595 48668350565 69160287645 87603031017 146005051695 262809093051 438015155085 1314045465255