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214465343564412 = 223337101531386197
BaseRepresentation
bin110000110000111000011010…
…100111101010101001111100
31001010100200112112120101102000
4300300320122213222221330
5211102300010423030122
62040044004012102300
763113416100013033
oct6060703247525174
91033320475511360
10214465343564412
1162376272384426
12200789a1764990
139288cc237ba75
143ad626c67d71a
1519bdb082a70ac
hexc30e1a9eaa7c

214465343564412 has 96 divisors (see below), whose sum is σ = 576702812965440. Its totient is φ = 68867651001600.

The previous prime is 214465343564369. The next prime is 214465343564429.

It is a happy number.

214465343564412 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 6 + 5 + 34 + 3 + 564 + 41 + 2 = 666.

214465343564412 is nontrivially palindromic in base 10.

214465343564412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 265289503 + ... + 266096694.

It is an arithmetic number, because the mean of its divisors is an integer number (6007320968390).

Almost surely, 2214465343564412 is an apocalyptic number.

It is an amenable number.

214465343564412 is an abundant number, since it is smaller than the sum of its proper divisors (362237469401028).

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

214465343564412 is a wasteful number, since it uses less digits than its factorization.

214465343564412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531386348 (or 531386340 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 214465343564412 in words is "two hundred fourteen trillion, four hundred sixty-five billion, three hundred forty-three million, five hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 101 108 111 148 202 222 303 333 404 444 606 666 909 999 1212 1332 1818 1998 2727 3636 3737 3996 5454 7474 10908 11211 14948 22422 33633 44844 67266 100899 134532 201798 403596 531386197 1062772394 1594158591 2125544788 3188317182 4782475773 6376634364 9564951546 14347427319 19129903092 19661289289 28694854638 39322578578 53670005897 57389709276 58983867867 78645157156 107340011794 117967735734 161010017691 176951603601 214680023588 235935471468 322020035382 353903207202 483030053073 530854810803 644040070764 707806414404 966060106146 1061709621606 1449090159219 1932120212292 1985790218189 2123419243212 2898180318438 3971580436378 5796360636876 5957370654567 7943160872756 11914741309134 17872111963701 23829482618268 35744223927402 53616335891103 71488447854804 107232671782206 214465343564412