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350344322252145 = 32513598879183337
BaseRepresentation
bin100111110101000101110010…
…0111000000111110101110001
31200221110120221012011120112100
41033222023210320013311301
5331410020132444032040
63241041543150251013
7133536353622106554
oct11752134470076561
91627416835146470
10350344322252145
11a16a32134a9961
12333630b07b6a69
13120644353199a0
146272a817ca69b
152a783d6d41b30
hex13ea2e4e07d71

350344322252145 has 24 divisors (see below), whose sum is σ = 653976068205096. Its totient is φ = 172477204800768.

The previous prime is 350344322252143. The next prime is 350344322252153. The reversal of 350344322252145 is 541252223443053.

It is a happy number.

350344322252145 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 4 + 432 + 22 + 52 + 145 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3806104453776 + 346538217798369 = 1950924^2 + 18615537^2 .

It is not a de Polignac number, because 350344322252145 - 21 = 350344322252143 is a prime.

It is a super-2 number, since 2×3503443222521452 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 350344322252145.

It is not an unprimeable number, because it can be changed into a prime (350344322252143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299439591084 + ... + 299439592253.

It is an arithmetic number, because the mean of its divisors is an integer number (27249002841879).

Almost surely, 2350344322252145 is an apocalyptic number.

It is an amenable number.

350344322252145 is a deficient number, since it is larger than the sum of its proper divisors (303631745952951).

350344322252145 is a wasteful number, since it uses less digits than its factorization.

350344322252145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598879183361 (or 598879183358 counting only the distinct ones).

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

Adding to 350344322252145 its reverse (541252223443053), we get a palindrome (891596545695198).

The spelling of 350344322252145 in words is "three hundred fifty trillion, three hundred forty-four billion, three hundred twenty-two million, two hundred fifty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 598879183337 1796637550011 2994395916685 5389912650033 7785429383381 8983187750055 23356288150143 26949563250165 38927146916905 70068864450429 116781440750715 350344322252145