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120233041434 = 2321129109192103
BaseRepresentation
bin110111111111001110…
…0101001111000011010
3102111100020200100020200
41233332130221320122
53432214124311214
6131122335203030
711454325663332
oct1577634517032
9374306610220
10120233041434
1146a99465650
121b375976476
13b45156cacc
145b6828a0c2
1531da689d09
hex1bfe729e1a

120233041434 has 96 divisors (see below), whose sum is σ = 296685417600. Its totient is φ = 34854986880.

The previous prime is 120233041393. The next prime is 120233041471. The reversal of 120233041434 is 434140332021.

120233041434 is a `hidden beast` number, since 12 + 0 + 233 + 0 + 414 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120233041398 and 120233041407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529827 + ... + 721929.

It is an arithmetic number, because the mean of its divisors is an integer number (3090473100).

Almost surely, 2120233041434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120233041434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148342708800).

120233041434 is an abundant number, since it is smaller than the sum of its proper divisors (176452376166).

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

120233041434 is a wasteful number, since it uses less digits than its factorization.

120233041434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192260 (or 192257 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 120233041434 its reverse (434140332021), we get a palindrome (554373373455).

The spelling of 120233041434 in words is "one hundred twenty billion, two hundred thirty-three million, forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 109 174 198 218 261 319 327 522 638 654 957 981 1199 1914 1962 2398 2871 3161 3597 5742 6322 7194 9483 10791 18966 21582 28449 34771 56898 69542 104313 192103 208626 312939 384206 576309 625878 1152618 1728927 2113133 3457854 4226266 5570987 6339399 11141974 12678798 16712961 19018197 20939227 33425922 38036394 41878454 50138883 61280857 62817681 100277766 122561714 125635362 183842571 188453043 230331497 367685142 376906086 460662994 551527713 607237583 690994491 1103055426 1214475166 1381988982 1821712749 2072983473 3643425498 4145966946 5465138247 6679613413 10930276494 13359226826 20038840239 40077680478 60116520717 120233041434