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414014032212 = 223112476066673
BaseRepresentation
bin1100000011001010010…
…10001100100101010100
31110120122100102222010220
412001211022030211110
523240400043012322
6514110113314340
741624440131534
oct6014512144524
91416570388126
10414014032212
1114a645145200
12682a45659b0
133006cb211b1
141607748d4c4
15ab81d9e55c
hex606528c954

414014032212 has 72 divisors (see below), whose sum is σ = 1084430110848. Its totient is φ = 122789441280.

The previous prime is 414014032207. The next prime is 414014032261. The reversal of 414014032212 is 212230410414.

It is a super-2 number, since 2×4140140322122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2965093 + ... + 3101580.

Almost surely, 2414014032212 is an apocalyptic number.

It is an amenable number.

414014032212 is an abundant number, since it is smaller than the sum of its proper divisors (670416078636).

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

414014032212 is a wasteful number, since it uses less digits than its factorization.

414014032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066749 (or 6066736 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414014032212 its reverse (212230410414), we get a palindrome (626244442626).

The spelling of 414014032212 in words is "four hundred fourteen billion, fourteen million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 121 132 141 188 242 282 363 484 517 564 726 1034 1452 1551 2068 3102 5687 6204 11374 17061 22748 34122 68244 6066673 12133346 18200019 24266692 36400038 66733403 72800076 133466806 200200209 266933612 285133631 400400418 570267262 734067433 800800836 855400893 1140534524 1468134866 1710801786 2202202299 2936269732 3136469941 3421603572 4404404598 6272939882 8808809196 9409409823 12545879764 18818819646 34501169351 37637639292 69002338702 103503508053 138004677404 207007016106 414014032212