Search a number
-
+
431212342232430 = 233511145189340819
BaseRepresentation
bin110001000001011110111001…
…0011110110100010101101110
32002112210111102112202100121000
41202002331302132310111232
5423004440334102414210
64125040114255421130
7156554030553304533
oct14202756236642556
92075714375670530
10431212342232430
11115441144564730
1240443a10b247a6
131567c1c32a2cc5
14786ab08384d8a
1534cbc51415ac0
hex1882f727b456e

431212342232430 has 64 divisors (see below), whose sum is σ = 1254435904684800. Its totient is φ = 104536325388960.

The previous prime is 431212342232417. The next prime is 431212342232447. The reversal of 431212342232430 is 34232243212134.

431212342232430 is a `hidden beast` number, since 4 + 3 + 1 + 212 + 3 + 4 + 2 + 2 + 3 + 2 + 430 = 666.

It is a super-2 number, since 2×4312123422324302 (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 31 ways as a sum of consecutive naturals, for example, 72594667440 + ... + 72594673379.

It is an arithmetic number, because the mean of its divisors is an integer number (19600561010700).

Almost surely, 2431212342232430 is an apocalyptic number.

431212342232430 is an abundant number, since it is smaller than the sum of its proper divisors (823223562452370).

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

431212342232430 is a wasteful number, since it uses less digits than its factorization.

431212342232430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145189340846 (or 145189340840 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 431212342232430 its reverse (34232243212134), we get a palindrome (465444585444564).

The spelling of 431212342232430 in words is "four hundred thirty-one trillion, two hundred twelve billion, three hundred forty-two million, two hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 145189340819 290378681638 435568022457 725946704095 871136044914 1306704067371 1451893408190 1597082749009 2177840112285 2613408134742 3194165498018 3920112202113 4355680224570 4791248247027 6533520336855 7840224404226 7985413745045 9582496494054 13067040673710 14373744741081 15970827490090 19600561010565 23956241235135 28747489482162 39201122021130 43121234223243 47912482470270 71868723705405 86242468446486 143737447410810 215606171116215 431212342232430