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134433140022 = 233172919725633
BaseRepresentation
bin111110100110011010…
…1101110110100110110
3110211222212200002111000
41331030311232310312
54200304340440042
6141431400424130
712466243556556
oct1751465566466
9424885602430
10134433140022
1152016003915
1222079478046
13c8a546bacc
14671416d166
15376c14674c
hex1f4cd6ed36

134433140022 has 128 divisors (see below), whose sum is σ = 328894473600. Its totient is φ = 40512503808.

The previous prime is 134433140003. The next prime is 134433140029. The reversal of 134433140022 is 220041334431.

134433140022 is a `hidden beast` number, since 1 + 344 + 3 + 314 + 0 + 0 + 2 + 2 = 666.

134433140022 is digitally balanced in base 3, 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134433140029) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5231718 + ... + 5257350.

It is an arithmetic number, because the mean of its divisors is an integer number (2569488075).

Almost surely, 2134433140022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134433140022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164447236800).

134433140022 is an abundant number, since it is smaller than the sum of its proper divisors (194461333578).

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

134433140022 is a wasteful number, since it uses less digits than its factorization.

134433140022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25887 (or 25881 counting only the distinct ones).

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

Adding to 134433140022 its reverse (220041334431), we get a palindrome (354474474453).

The spelling of 134433140022 in words is "one hundred thirty-four billion, four hundred thirty-three million, one hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 87 102 153 174 197 261 306 394 459 493 522 591 783 918 986 1182 1479 1566 1773 2958 3349 3546 4437 5319 5713 6698 8874 10047 10638 11426 13311 17139 20094 25633 26622 30141 34278 51266 51417 60282 76899 90423 97121 102834 153798 154251 180846 194242 230697 291363 308502 435761 461394 582726 692091 743357 871522 874089 1307283 1384182 1486714 1748178 2230071 2614566 2622267 3921849 4460142 5049701 5244534 6690213 7843698 10099402 11765547 12637069 13380426 15149103 20070639 23531094 25274138 30298206 37911207 40141278 45447309 75822414 85844917 90894618 113733621 136341927 146441329 171689834 227467242 257534751 272683854 292882658 341200863 439323987 515069502 682401726 772604253 878647974 1317971961 1545208506 2317812759 2489502593 2635943922 3953915883 4635625518 4979005186 7468507779 7907831766 14937015558 22405523337 44811046674 67216570011 134433140022