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338157144234 = 232713211978413
BaseRepresentation
bin1001110101110111011…
…11001000100010101010
31012022211202022210101100
410322323233020202222
521020021212103414
6415203001102230
733300564204660
oct4727357104252
91168752283340
10338157144234
1112045898a548
1255654187976
1325b71167770
141251ca7cc30
158be24c4609
hex4ebbbc88aa

338157144234 has 96 divisors (see below), whose sum is σ = 906027018624. Its totient is φ = 88761536640.

The previous prime is 338157144229. The next prime is 338157144253. The reversal of 338157144234 is 432441751833.

It is a happy number.

338157144234 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 571 + 4 + 42 + 34 = 666.

It is a super-2 number, since 2×3381571442342 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338157144234.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143589 + ... + 834824.

It is an arithmetic number, because the mean of its divisors is an integer number (9437781444).

Almost surely, 2338157144234 is an apocalyptic number.

338157144234 is an abundant number, since it is smaller than the sum of its proper divisors (567869874390).

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

338157144234 is a wasteful number, since it uses less digits than its factorization.

338157144234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978652 (or 978649 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 338157144234 in words is "three hundred thirty-eight billion, one hundred fifty-seven million, one hundred forty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 211 234 273 422 546 633 819 1266 1477 1638 1899 2743 2954 3798 4431 5486 8229 8862 13293 16458 19201 24687 26586 38402 49374 57603 115206 172809 345618 978413 1956826 2935239 5870478 6848891 8805717 12719369 13697782 17611434 20546673 25438738 38158107 41093346 61640019 76316214 89035583 114474321 123280038 178071166 206445143 228948642 267106749 412890286 534213498 619335429 801320247 1238670858 1445116001 1602640494 1858006287 2683786859 2890232002 3716012574 4335348003 5367573718 8051360577 8670696006 13006044009 16102721154 18786508013 24154081731 26012088018 37573016026 48308163462 56359524039 112719048078 169078572117 338157144234