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214353353412 = 2232113714629631
BaseRepresentation
bin1100011110100001110…
…1001001101011000100
3202111021122122120211100
43013220131021223010
512002443424302122
6242250024140100
721325606304262
oct3075035115304
9674248576740
10214353353412
11829a7975050
1235662607630
13172a0bb96c3
14a536499432
155898604aac
hex31e8749ac4

214353353412 has 72 divisors (see below), whose sum is σ = 607071209472. Its totient is φ = 63200001600.

The previous prime is 214353353381. The next prime is 214353353419.

214353353412 is a `hidden beast` number, since 2 + 143 + 53 + 3 + 53 + 412 = 666.

214353353412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (214353353419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7300164 + ... + 7329467.

It is an arithmetic number, because the mean of its divisors is an integer number (8431544576).

Almost surely, 2214353353412 is an apocalyptic number.

214353353412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214353353412 is an abundant number, since it is smaller than the sum of its proper divisors (392717856060).

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

214353353412 is a wasteful number, since it uses less digits than its factorization.

214353353412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14629689 (or 14629684 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 214353 and 353412, that added together give a palindrome (567765).

The spelling of 214353353412 in words is "two hundred fourteen billion, three hundred fifty-three million, three hundred fifty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 14629631 29259262 43888893 58518524 87777786 131666679 160925941 175555572 263333358 321851882 482777823 526666716 541296347 643703764 965555646 1082592694 1448333469 1623889041 1931111292 2165185388 2896666938 3247778082 4871667123 5793333876 5954259817 6495556164 9743334246 11908519634 17862779451 19486668492 23817039268 35725558902 53588338353 71451117804 107176676706 214353353412