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2140154999164 = 227313131990971
BaseRepresentation
bin11111001001001011001…
…011011011000101111100
321120121010002012111121001
4133021023023123011330
5240031014134433124
64315101301020044
7310423015225000
oct37111313330574
97517102174531
102140154999164
117556a8781106
122a69396b4624
13126a7b285840
1475826908700
153aa0c619b44
hex1f24b2db17c

2140154999164 has 96 divisors (see below), whose sum is σ = 4707255168000. Its totient is φ = 846003533760.

The previous prime is 2140154999153. The next prime is 2140154999207. The reversal of 2140154999164 is 4619994510412.

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 31 ways as a sum of consecutive naturals, for example, 23480199 + ... + 23571169.

It is an arithmetic number, because the mean of its divisors is an integer number (49033908000).

Almost surely, 22140154999164 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 2140154999164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353627584000).

2140154999164 is an abundant number, since it is smaller than the sum of its proper divisors (2567100168836).

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

2140154999164 is a wasteful number, since it uses less digits than its factorization.

2140154999164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92328 (or 92312 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 2140154999164 in words is "two trillion, one hundred forty billion, one hundred fifty-four million, nine hundred ninety-nine thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 637 686 1274 1319 1372 2548 2638 4459 5276 8918 9233 17147 17836 18466 34294 36932 64631 68588 90971 120029 129262 181942 240058 258524 363884 452417 480116 636797 840203 904834 1182623 1273594 1680406 1809668 2365246 2547188 3360812 4457579 4730492 5881421 8278361 8915158 11762842 16556722 17830316 23525684 31203053 33113444 57948527 62406106 115897054 119990749 124812212 231794108 239981498 405639689 479962996 811279378 839935243 1559879737 1622558756 1679870486 3119759474 3359740972 5879546701 6239518948 10919158159 11759093402 21838316318 23518186804 41156826907 43676632636 76434107113 82313653814 152868214226 164627307628 305736428452 535038749791 1070077499582 2140154999164