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133140411342 = 2348913197001
BaseRepresentation
bin111101111111111001…
…0010111001111001110
3110201122210011200010000
41323333302113033032
54140132421130332
6141055221025130
712422225552361
oct1737762271716
9421583150100
10133140411342
1151512322704
12219785551a6
13c72a6ab6b3
1466305c20d8
1536e38e0b7c
hex1effc973ce

133140411342 has 80 divisors (see below), whose sum is σ = 301957048800. Its totient is φ = 43841952000.

The previous prime is 133140411329. The next prime is 133140411347. The reversal of 133140411342 is 243114041331.

133140411342 is a `hidden beast` number, since 1 + 3 + 314 + 0 + 4 + 1 + 1 + 342 = 666.

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 (133140411347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19013842 + ... + 19020842.

It is an arithmetic number, because the mean of its divisors is an integer number (3774463110).

Almost surely, 2133140411342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133140411342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150978524400).

133140411342 is an abundant number, since it is smaller than the sum of its proper divisors (168816637458).

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

133140411342 is a wasteful number, since it uses less digits than its factorization.

133140411342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8423 (or 8414 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 133140411342 its reverse (243114041331), we get a palindrome (376254452673).

The spelling of 133140411342 in words is "one hundred thirty-three billion, one hundred forty million, four hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 1319 1602 2403 2638 3957 4806 7001 7209 7914 11871 14002 14418 21003 23742 35613 42006 63009 71226 106839 117391 126018 189027 213678 234782 352173 378054 567081 623089 704346 1056519 1134162 1246178 1869267 2113038 3169557 3738534 5607801 6339114 9234319 9508671 11215602 16823403 18468638 19017342 27702957 33646806 50470209 55405914 83108871 100940418 166217742 249326613 498653226 747979839 821854391 1495959678 1643708782 2465563173 4931126346 7396689519 14793379038 22190068557 44380137114 66570205671 133140411342