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2140644253095 = 3351923349103969
BaseRepresentation
bin11111001001101000010…
…101110001110110100111
321120122101011211011211000
4133021220111301312213
5240033014412044340
64315222015244343
7310441105634205
oct37115025616647
97518334734730
102140644253095
117559299688a7
122a6a555196b3
13126b287475ca
14758718a4075
153aa3a55dd30
hex1f268571da7

2140644253095 has 128 divisors (see below), whose sum is σ = 4192070400000. Its totient is φ = 1031588794368.

The previous prime is 2140644253067. The next prime is 2140644253169. The reversal of 2140644253095 is 5903524460412.

2140644253095 is a `hidden beast` number, since 2 + 14 + 0 + 64 + 42 + 530 + 9 + 5 = 666.

It is not a de Polignac number, because 2140644253095 - 26 = 2140644253031 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 2140644253095.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20537271 + ... + 20641239.

It is an arithmetic number, because the mean of its divisors is an integer number (32750550000).

Almost surely, 22140644253095 is an apocalyptic number.

2140644253095 is a deficient number, since it is larger than the sum of its proper divisors (2051426146905).

2140644253095 is a wasteful number, since it uses less digits than its factorization.

2140644253095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104374 (or 104368 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2140644253095 in words is "two trillion, one hundred forty billion, six hundred forty-four million, two hundred fifty-three thousand, ninety-five".

Divisors: 1 3 5 9 15 19 23 27 45 57 69 95 115 135 171 207 285 345 349 437 513 621 855 1035 1047 1311 1745 2185 2565 3105 3141 3933 5235 6555 6631 8027 9423 11799 15705 19665 19893 24081 33155 40135 47115 58995 59679 72243 99465 103969 120405 152513 179037 216729 298395 311907 361215 457539 519845 762565 895185 935721 1083645 1372617 1559535 1975411 2287695 2391287 2807163 4117851 4678605 5926233 6863085 7173861 9877055 11956435 14035815 17778699 20589255 21521583 29631165 35869305 36285181 45434453 53336097 64564749 88893495 107607915 108855543 136303359 181425905 227172265 266680485 322823745 326566629 408910077 544277715 681516795 689418439 834559163 979699887 1226730231 1632833145 2044550385 2068255317 2503677489 3447092195 4172795815 4898499435 6133651155 6204765951 7511032467 10341276585 12518387445 15856624097 18614297853 22533097401 31023829755 37555162335 47569872291 79283120485 93071489265 112665487005 142709616873 237849361455 428128850619 713548084365 2140644253095