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431431222342432 = 25132666938887633
BaseRepresentation
bin110001000011000100110100…
…0110000001011001100100000
32002120120102101200022000001211
41202012021220300023030200
5423022032120404424212
64125324433432035504
7156605606610452164
oct14206115060131440
92076512350260054
10431431222342432
11115515a54694a24
124047a317532b94
1315696a35c73ab0
14787754db12ca4
1534d27b21419a7
hex1886268c0b320

431431222342432 has 48 divisors (see below), whose sum is σ = 914751481323960. Its totient is φ = 199114631073792.

The previous prime is 431431222342409. The next prime is 431431222342499. The reversal of 431431222342432 is 234243222134134.

It can be written as a sum of positive squares in 4 ways, for example, as 411077084801296 + 20354137541136 = 20275036^2 + 4511556^2 .

It is a super-2 number, since 2×4314312223424322 (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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8349513 + ... + 30538120.

Almost surely, 2431431222342432 is an apocalyptic number.

It is an amenable number.

431431222342432 is an abundant number, since it is smaller than the sum of its proper divisors (483320258981528).

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

431431222342432 is a wasteful number, since it uses less digits than its factorization.

431431222342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38914325 (or 38914317 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

Adding to 431431222342432 its reverse (234243222134134), we get a palindrome (665674444476566).

The spelling of 431431222342432 in words is "four hundred thirty-one trillion, four hundred thirty-one billion, two hundred twenty-two million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 26669 53338 106676 213352 346697 426704 693394 853408 1386788 2773576 5547152 11094304 38887633 77775266 155550532 311101064 505539229 622202128 1011078458 1244404256 2022156916 4044313832 8088627664 16177255328 1037094284477 2074188568954 4148377137908 8296754275816 13482225698201 16593508551632 26964451396402 33187017103264 53928902792804 107857805585608 215715611171216 431431222342432