Search a number
-
+
12140430601662 = 23211313467570497
BaseRepresentation
bin1011000010101010101000…
…0011011010110110111110
31120222121120111000210222100
42300222222003122312332
53042402100213223122
641453123053125530
72362055121306156
oct260525203326676
946877514023870
1012140430601662
113960800635390
121440a917898a6
136a0ab7548c5c
142dd858499766
15160c0184caac
hexb0aaa0dadbe

12140430601662 has 96 divisors (see below), whose sum is σ = 29629822270464. Its totient is φ = 3559210444800.

The previous prime is 12140430601661. The next prime is 12140430601709. The reversal of 12140430601662 is 26610603404121.

12140430601662 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 0 + 43 + 0 + 601 + 6 + 6 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140430601661) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20995198 + ... + 21565694.

It is an arithmetic number, because the mean of its divisors is an integer number (308643981984).

Almost surely, 212140430601662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12140430601662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14814911135232).

12140430601662 is an abundant number, since it is smaller than the sum of its proper divisors (17489391668802).

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

12140430601662 is a wasteful number, since it uses less digits than its factorization.

12140430601662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574014 (or 574011 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12140430601662 in words is "twelve trillion, one hundred forty billion, four hundred thirty million, six hundred one thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 3467 6138 6934 10401 20802 31203 38137 62406 76274 107477 114411 214954 228822 322431 343233 570497 644862 686466 967293 1140994 1182247 1711491 1934586 2364494 3422982 3546741 5134473 6275467 7093482 10268946 10640223 12550934 17685407 18826401 21280446 35370814 37652802 53056221 56479203 106112442 112958406 159168663 194539477 318337326 389078954 583618431 1167236862 1750855293 1977913099 3501710586 3955826198 5933739297 11867478594 17801217891 21757044089 35602435782 43514088178 61315306069 65271132267 122630612138 130542264534 183945918207 195813396801 367891836414 391626793602 551837754621 674468366759 1103675509242 1348936733518 2023405100277 4046810200554 6070215300831 12140430601662