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431440141242234 = 236131136910317787
BaseRepresentation
bin110001000011001000111110…
…0010111000100111101111010
32002120121021102020210001112010
41202012101330113010331322
5423022203402124222414
64125332510435030350
7156606343620035415
oct14206217427047572
92076537366701463
10431440141242234
111155198111233a3
124047bba643b3b6
1315697827999cb7
147877b58456b7c
1534d2b3514d959
hex188647c5c4f7a

431440141242234 has 32 divisors (see below), whose sum is σ = 864364022758080. Its totient is φ = 143566131687552.

The previous prime is 431440141242197. The next prime is 431440141242287. The reversal of 431440141242234 is 432242141044134.

It is a happy number.

It is a super-2 number, since 2×4314401412422342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431440141242192 and 431440141242201.

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, 36656289 + ... + 46974075.

It is an arithmetic number, because the mean of its divisors is an integer number (27011375711190).

Almost surely, 2431440141242234 is an apocalyptic number.

431440141242234 is an abundant number, since it is smaller than the sum of its proper divisors (432923881515846).

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

431440141242234 is a wasteful number, since it uses less digits than its factorization.

431440141242234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329774.

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 431440141242234 its reverse (432242141044134), we get a palindrome (863682282286368).

The spelling of 431440141242234 in words is "four hundred thirty-one trillion, four hundred forty billion, one hundred forty-one million, two hundred forty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 613 1226 1839 3678 11369 22738 34107 68214 6969197 10317787 13938394 20635574 20907591 30953361 41815182 61906722 6324803431 12649606862 18974410293 37948820586 117302920403 234605840806 351908761209 703817522418 71906690207039 143813380414078 215720070621117 431440141242234