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431625020400345 = 35141731920302417
BaseRepresentation
bin110001000100011111000100…
…0000001000110001011011001
32002121020221121210112101102110
41202020332020001012023121
5423033221020210302340
64125553444053022533
7156625610242664322
oct14210761001061331
92077227553471373
10431625020400345
11115590163636252
12404ab9a2024a49
13156ac0ac40cc45
147882a96259449
1534d7855d8d680
hex1888f880462d9

431625020400345 has 16 divisors (see below), whose sum is σ = 690600553914240. Its totient is φ = 230199837122304.

The previous prime is 431625020400313. The next prime is 431625020400383. The reversal of 431625020400345 is 543004020526134.

It is not a de Polignac number, because 431625020400345 - 25 = 431625020400313 is a prime.

It is a super-2 number, since 2×4316250204003452 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11108577 + ... + 31410993.

It is an arithmetic number, because the mean of its divisors is an integer number (43162534619640).

Almost surely, 2431625020400345 is an apocalyptic number.

It is an amenable number.

431625020400345 is a deficient number, since it is larger than the sum of its proper divisors (258975533513895).

431625020400345 is a wasteful number, since it uses less digits than its factorization.

431625020400345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21719744.

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 431625020400345 its reverse (543004020526134), we get a palindrome (974629040926479).

The spelling of 431625020400345 in words is "four hundred thirty-one trillion, six hundred twenty-five billion, twenty million, four hundred thousand, three hundred forty-five".

Divisors: 1 3 5 15 1417319 4251957 7086595 20302417 21259785 60907251 101512085 304536255 28775001360023 86325004080069 143875006800115 431625020400345