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12141601290 = 23257131482491
BaseRepresentation
bin10110100111011001…
…00010001000001010
31011100011120020210200
423103230202020022
5144331222220130
65324444353030
7606610623330
oct132354421012
934304506720
1012141601290
115170687835
12242a245776
1311b65b2980
1483275bb50
154b0de1760
hex2d3b2220a

12141601290 has 96 divisors (see below), whose sum is σ = 38853150336. Its totient is φ = 2561742720.

The previous prime is 12141601289. The next prime is 12141601309. The reversal of 12141601290 is 9210614121.

12141601290 is a `hidden beast` number, since 1 + 214 + 160 + 1 + 290 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733056 + ... + 749435.

It is an arithmetic number, because the mean of its divisors is an integer number (404720316).

Almost surely, 212141601290 is an apocalyptic number.

12141601290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12141601290 is an abundant number, since it is smaller than the sum of its proper divisors (26711549046).

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

12141601290 is a wasteful number, since it uses less digits than its factorization.

12141601290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482524 (or 1482521 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12141601290 in words is "twelve billion, one hundred forty-one million, six hundred one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 1482491 2964982 4447473 7412455 8894946 10377437 13342419 14824910 19272383 20754874 22237365 26684838 31132311 38544766 44474730 51887185 57817149 62264622 66712095 93396933 96361915 103774370 115634298 133424190 134906681 155661555 173451447 186793866 192723830 269813362 289085745 311323110 346902894 404720043 466984665 578171490 674533405 809440086 867257235 933969330 1214160129 1349066810 1734514470 2023600215 2428320258 4047200430 6070800645 12141601290