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132354003554442 = 2355914593163687
BaseRepresentation
bin11110000110000000010001…
…010111011101000010001010
3122100121220211001222222100000
4132012000101113131002022
5114321441444402220232
61145254331223423430
736610155406604265
oct3606002127350212
9570556731888300
10132354003554442
11391990215aa03a
1212a17113bb4b76
1358b0c0cc823a7
142497d7a0bbcdc
151047c70d0327c
hex7860115dd08a

132354003554442 has 96 divisors (see below), whose sum is σ = 302635863129600. Its totient is φ = 43340498750448.

The previous prime is 132354003554441. The next prime is 132354003554459. The reversal of 132354003554442 is 244455300453231.

132354003554442 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 54 + 0 + 0 + 3 + 554 + 4 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (132354003554441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40253523 + ... + 43417209.

It is an arithmetic number, because the mean of its divisors is an integer number (3152456907600).

Almost surely, 2132354003554442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132354003554442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151317931564800).

132354003554442 is an abundant number, since it is smaller than the sum of its proper divisors (170281859575158).

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

132354003554442 is a wasteful number, since it uses less digits than its factorization.

132354003554442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165222 (or 3165210 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 132354003554442 in words is "one hundred thirty-two trillion, three hundred fifty-four billion, three million, five hundred fifty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 243 354 486 531 1062 1459 1593 2918 3186 4377 4779 8754 9558 13131 14337 26262 28674 39393 78786 86081 118179 172162 236358 258243 354537 516486 709074 774729 1549458 2324187 3163687 4648374 6327374 6972561 9491061 13945122 18982122 20917683 28473183 41835366 56946366 85419549 170839098 186657533 256258647 373315066 512517294 559972599 768775941 1119945198 1537551882 1679917797 3359835594 4615819333 5039753391 9231638666 10079506782 13847457999 15119260173 27694915998 30238520346 41542373997 45357780519 83084747994 90715561038 124627121991 249254243982 272333340647 373881365973 544666681294 747762731946 817000021941 1121644097919 1634000043882 2243288195838 2451000065823 4902000131646 7353000197469 14706000394938 22059000592407 44118001184814 66177001777221 132354003554442