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431123412324 = 2231123433302413
BaseRepresentation
bin1100100011000001111…
…01010011010101100100
31112012210201202112100210
412101200331103111210
524030420043143244
6530015542535420
743101432353313
oct6214075232544
91465721675323
10431123412324
11156924a21770
126b67a437570
1331868690757
1416c1b8c227a
15b333e804b9
hex6460f53564

431123412324 has 96 divisors (see below), whose sum is σ = 1171749325824. Its totient is φ = 122057147520.

The previous prime is 431123412311. The next prime is 431123412341. The reversal of 431123412324 is 423214321134.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 431123412291 and 431123412300.

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, 1520659 + ... + 1781754.

It is an arithmetic number, because the mean of its divisors is an integer number (12205722144).

Almost surely, 2431123412324 is an apocalyptic number.

431123412324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

431123412324 is an abundant number, since it is smaller than the sum of its proper divisors (740625913500).

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

431123412324 is a wasteful number, since it uses less digits than its factorization.

431123412324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302497 (or 3302495 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 431123412324 its reverse (423214321134), we get a palindrome (854337733458).

The spelling of 431123412324 in words is "four hundred thirty-one billion, one hundred twenty-three million, four hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 43 44 46 66 69 86 92 129 132 138 172 253 258 276 473 506 516 759 946 989 1012 1419 1518 1892 1978 2838 2967 3036 3956 5676 5934 10879 11868 21758 32637 43516 65274 130548 3302413 6604826 9907239 13209652 19814478 36326543 39628956 72653086 75955499 108979629 142003759 145306172 151910998 217959258 227866497 284007518 303821996 426011277 435918516 455732994 568015036 835510489 852022554 911465988 1562041349 1671020978 1704045108 2506531467 3124082698 3266086457 3342041956 4686124047 5013062934 6248165396 6532172914 9372248094 9798259371 10026125868 13064345828 18744496188 19596518742 35926951027 39193037484 71853902054 107780853081 143707804108 215561706162 431123412324