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941412214149 = 3111919334922291
BaseRepresentation
bin11011011001100001000…
…10100110010110000101
310022222221122011112100120
431230300202212112011
5110411003011323044
62000251230532153
7125005033534521
oct15546042462605
93288848145316
10941412214149
1133328371a270
12132551067059
136aa0c2a5734
14337c9364d81
151974cebc519
hexdb308a6585

941412214149 has 64 divisors (see below), whose sum is σ = 1453081728000. Its totient is φ = 536158310400.

The previous prime is 941412214117. The next prime is 941412214151.

941412214149 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 941412214149 - 25 = 941412214117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 941412214149.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (941412234149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42221694 + ... + 42243984.

It is an arithmetic number, because the mean of its divisors is an integer number (22704402000).

Almost surely, 2941412214149 is an apocalyptic number.

It is an amenable number.

941412214149 is a deficient number, since it is larger than the sum of its proper divisors (511669513851).

941412214149 is a wasteful number, since it uses less digits than its factorization.

941412214149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22866.

The product of its digits is 82944, while the sum is 42.

The spelling of 941412214149 in words is "nine hundred forty-one billion, four hundred twelve million, two hundred fourteen thousand, one hundred forty-nine".

Divisors: 1 3 11 19 33 57 193 209 349 579 627 1047 2123 3667 3839 6369 6631 11001 11517 19893 22291 40337 66873 67357 72941 121011 202071 218823 245201 423529 735603 740927 1270587 1279783 2222781 3839349 4302163 4658819 7779559 12906489 13976457 14077613 23338677 42232839 47323793 81741097 85575149 141971379 147811621 245223291 256725447 443434863 899152067 1501454887 1625927831 2697456201 4504364661 4877783493 16516003757 28527642853 49548011271 85582928559 313804071383 941412214149