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212144134213044 = 2232111612373322547
BaseRepresentation
bin110000001111000110100111…
…110000101100110110110100
31000211010210002110122211020200
4300033012213300230312310
5210301232141324304134
62031105400404000500
762453623261041555
oct6017064760546664
91024123073584220
10212144134213044
11616609051a4790
121b962b55390130
13914b14bbc4457
143a55b8bd2032c
15197d550b18499
hexc0f1a7c2cdb4

212144134213044 has 72 divisors (see below), whose sum is σ = 585007325911008. Its totient is φ = 64285683222720.

The previous prime is 212144134213043. The next prime is 212144134213061. The reversal of 212144134213044 is 440312431441212.

212144134213044 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 4 + 1 + 342 + 1 + 304 + 4 = 666.

212144134213044 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212144134213043) 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, 62188579 + ... + 65511125.

It is an arithmetic number, because the mean of its divisors is an integer number (8125101748764).

Almost surely, 2212144134213044 is an apocalyptic number.

It is an amenable number.

212144134213044 is an abundant number, since it is smaller than the sum of its proper divisors (372863191697964).

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

212144134213044 is a wasteful number, since it uses less digits than its factorization.

212144134213044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483805 (or 3483800 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 212144134213044 its reverse (440312431441212), we get a palindrome (652456565654256).

The spelling of 212144134213044 in words is "two hundred twelve trillion, one hundred forty-four billion, one hundred thirty-four million, two hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 161237 322474 483711 644948 967422 1451133 1773607 1934844 2902266 3322547 3547214 5320821 5804532 6645094 7094428 9967641 10641642 13290188 15962463 19935282 21283284 29902923 31924926 36548017 39870564 59805846 63849852 73096034 109644051 119611692 146192068 219288102 328932153 438576204 657864306 1315728612 535717510639 1071435021278 1607152531917 2142870042556 3214305063834 4821457595751 5892892617029 6428610127668 9642915191502 11785785234058 17678677851087 19285830383004 23571570468116 35357355702174 53036033553261 70714711404348 106072067106522 212144134213044