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12140636454 = 2331931419911
BaseRepresentation
bin10110100111010001…
…10110100100100110
31011100002202020022000
423103220312210212
5144331000331304
65324411550130
7606566464362
oct132350664446
934302666260
1012140636454
115170088951
122429a5b346
1311b633576b
1483258a2a2
154b0ca0939
hex2d3a36926

12140636454 has 128 divisors (see below), whose sum is σ = 29417472000. Its totient is φ = 3697293600.

The previous prime is 12140636437. The next prime is 12140636537. The reversal of 12140636454 is 45463604121.

12140636454 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 0 + 6 + 3 + 645 + 4 = 666.

12140636454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 13326259 + ... + 13327169.

It is an arithmetic number, because the mean of its divisors is an integer number (229824000).

Almost surely, 212140636454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12140636454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708736000).

12140636454 is an abundant number, since it is smaller than the sum of its proper divisors (17276835546).

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

12140636454 is a wasteful number, since it uses less digits than its factorization.

12140636454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12140636454 in words is "twelve billion, one hundred forty million, six hundred thirty-six thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 171 186 279 342 419 513 558 589 837 838 911 1026 1178 1257 1674 1767 1822 2514 2733 3534 3771 5301 5466 7542 7961 8199 10602 11313 12989 15903 15922 16398 17309 22626 23883 24597 25978 28241 31806 34618 38967 47766 49194 51927 56482 71649 77934 84723 103854 116901 143298 155781 169446 214947 233802 246791 254169 311562 350703 381709 429894 467343 493582 508338 536579 701406 740373 762507 763418 934686 1073158 1145127 1480746 1525014 1609737 2221119 2290254 3219474 3435381 4442238 4829211 6663357 6870762 7252471 9658422 10306143 11832979 13326714 14487633 14504942 20612286 21757413 23665958 28975266 35498937 43514826 65272239 70997874 106496811 130544478 195816717 212993622 224826601 319490433 391633434 449653202 638980866 674479803 1348959606 2023439409 4046878818 6070318227 12140636454