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350201134030032 = 243219312600789221
BaseRepresentation
bin100111110100000011000111…
…0001100011001110011010000
31200220221220100011021020020200
41033220012032030121303100
5331400143410302430112
63240452102513535200
7133523124365233215
oct11750061614316320
91626856304236220
10350201134030032
11a164851548730a
123333b3ab274500
1312053a9608103c
146269b7a99bb0c
152a7480629bcdc
hex13e818e319cd0

350201134030032 has 60 divisors (see below), whose sum is σ = 985154902954404. Its totient is φ = 116128873451520.

The previous prime is 350201134029953. The next prime is 350201134030061. The reversal of 350201134030032 is 230030431102053.

350201134030032 is a `hidden beast` number, since 3 + 5 + 0 + 2 + 0 + 11 + 340 + 300 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94445043904656 + 255756090125376 = 9718284^2 + 15992376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 350201134029978 and 350201134030005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6300366819 + ... + 6300422402.

Almost surely, 2350201134030032 is an apocalyptic number.

It is an amenable number.

350201134030032 is an abundant number, since it is smaller than the sum of its proper divisors (634953768924372).

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

350201134030032 is a wasteful number, since it uses less digits than its factorization.

350201134030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12600789428 (or 12600789419 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 350201134030032 its reverse (230030431102053), we get a palindrome (580231565132085).

The spelling of 350201134030032 in words is "three hundred fifty trillion, two hundred one billion, one hundred thirty-four million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 1158 1544 1737 2316 3088 3474 4632 6948 9264 13896 27792 12600789221 25201578442 37802367663 50403156884 75604735326 100806313768 113407102989 151209470652 201612627536 226814205978 302418941304 453628411956 604837882608 907256823912 1814513647824 2431952319653 4863904639306 7295856958959 9727809278612 14591713917918 19455618557224 21887570876877 29183427835836 38911237114448 43775141753754 58366855671672 87550283507508 116733711343344 175100567015016 350201134030032