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12414404002 = 27111359310457
BaseRepresentation
bin10111000111111010…
…01100010110100010
31012001011220001202211
423203331030112202
5200411041412002
65411511432334
7616432456450
oct134375142642
935034801684
1012414404002
1152a0675520
1224a56856aa
13122ac7a3b0
1485aa919d0
154c9d2bdd7
hex2e3f4c5a2

12414404002 has 64 divisors (see below), whose sum is σ = 25046993664. Its totient is φ = 4456765440.

The previous prime is 12414403997. The next prime is 12414404047. The reversal of 12414404002 is 20040441421.

It is a super-3 number, since 3×124144040023 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181958 + ... + 1192414.

It is an arithmetic number, because the mean of its divisors is an integer number (391359276).

Almost surely, 212414404002 is an apocalyptic number.

12414404002 is an abundant number, since it is smaller than the sum of its proper divisors (12632589662).

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

12414404002 is a wasteful number, since it uses less digits than its factorization.

12414404002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11083.

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 12414404002 its reverse (20040441421), we get a palindrome (32454845423).

The spelling of 12414404002 in words is "twelve billion, four hundred fourteen million, four hundred four thousand, two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 593 1001 1186 2002 4151 6523 7709 8302 10457 13046 15418 20914 45661 53963 73199 84799 91322 107926 115027 135941 146398 169598 230054 271882 593593 805189 951587 1187186 1495351 1610378 1903174 2990702 6201001 10467457 12402002 20934914 43407007 68211011 80613013 86814014 136422022 161226026 477477077 564291091 886743143 954954154 1128582182 1773486286 6207202001 12414404002