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350243431521345 = 3551178112446853
BaseRepresentation
bin100111110100010110110011…
…1010100100001110001000001
31200221002221111221110102100000
41033220231213110201301001
5331401342021432140340
63240523340003550213
7133526152511046345
oct11750554724416101
91627087457412300
10350243431521345
11a16644502a25aa
123334763468b369
1312057a7710a8cb
14626bc30343625
152a7597e80bd30
hex13e8b67521c41

350243431521345 has 48 divisors (see below), whose sum is σ = 629578979370432. Its totient is φ = 186794834909760.

The previous prime is 350243431521311. The next prime is 350243431521419. The reversal of 350243431521345 is 543125134342053.

350243431521345 is a `hidden beast` number, since 3 + 5 + 0 + 2 + 43 + 43 + 1 + 521 + 3 + 45 = 666.

It is not a de Polignac number, because 350243431521345 - 29 = 350243431520833 is a prime.

It is a super-2 number, since 2×3502434315213452 (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 Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 350243431521345.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 141916939 + ... + 144363791.

It is an arithmetic number, because the mean of its divisors is an integer number (13116228736884).

Almost surely, 2350243431521345 is an apocalyptic number.

It is an amenable number.

350243431521345 is a deficient number, since it is larger than the sum of its proper divisors (279335547849087).

350243431521345 is a wasteful number, since it uses less digits than its factorization.

350243431521345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564684 (or 2564672 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

Adding to 350243431521345 its reverse (543125134342053), we get a palindrome (893368565863398).

The spelling of 350243431521345 in words is "three hundred fifty trillion, two hundred forty-three billion, four hundred thirty-one million, five hundred twenty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 117811 353433 589055 1060299 1767165 2446853 3180897 5301495 7340559 9542691 12234265 15904485 22021677 28628073 36702795 47713455 66065031 110108385 143140365 198195093 330325155 594585279 990975465 2972926395 288266198783 864798596349 1441330993915 2594395789047 4323992981745 7783187367141 12971978945235 23349562101423 38915936835705 70048686304269 116747810507115 350243431521345