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431434202434134 = 232914416971719853
BaseRepresentation
bin110001000011000110001101…
…0011000010100101001010110
32002120120201002100212100100120
41202012030122120110221112
5423022104221310343014
64125330045245452410
7156606043505020164
oct14206143230245126
92076521070770316
10431434202434134
11115517243897a29
124047aa09571106
13156970bc4a7873
147877753816234
1534d28d8aa1ba9
hex188631a614a56

431434202434134 has 32 divisors (see below), whose sum is σ = 892623625953120. Its totient is φ = 138852209943552.

The previous prime is 431434202434051. The next prime is 431434202434181.

431434202434134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4314342024341342 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249995352 + ... + 251715204.

It is an arithmetic number, because the mean of its divisors is an integer number (27894488311035).

Almost surely, 2431434202434134 is an apocalyptic number.

431434202434134 is an abundant number, since it is smaller than the sum of its proper divisors (461189423518986).

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

431434202434134 is a wasteful number, since it uses less digits than its factorization.

431434202434134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161584.

The product of its (nonzero) digits is 1327104, while the sum is 42.

It can be divided in two parts, 43143420 and 2434134, that added together give a palindrome (45577554).

The spelling of 431434202434134 in words is "four hundred thirty-one trillion, four hundred thirty-four billion, two hundred two million, four hundred thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 29 58 87 174 1441697 1719853 2883394 3439706 4325091 5159559 8650182 10319118 41809213 49875737 83618426 99751474 125427639 149627211 250855278 299254422 2479506910541 4959013821082 7438520731623 14877041463246 71905700405689 143811400811378 215717101217067 431434202434134