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431220332444 = 221129418242609
BaseRepresentation
bin1100100011001101011…
…11000001011110011100
31112020001111010120202212
412101212233001132130
524031114401114234
6530033324135552
743104020230256
oct6214657013634
91466044116685
10431220332444
111569746aa240
126b6a69975b8
1331882796435
1416c2a710cd6
15b33c7275ce
hex6466bc179c

431220332444 has 48 divisors (see below), whose sum is σ = 872397842400. Its totient is φ = 184634419200.

The previous prime is 431220332437. The next prime is 431220332471. The reversal of 431220332444 is 444233022134.

It is a super-2 number, since 2×4312203324442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 431220332444.

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, 4068989 + ... + 4173620.

It is an arithmetic number, because the mean of its divisors is an integer number (18174955050).

Almost surely, 2431220332444 is an apocalyptic number.

431220332444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

431220332444 is an abundant number, since it is smaller than the sum of its proper divisors (441177509956).

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

431220332444 is a wasteful number, since it uses less digits than its factorization.

431220332444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8242694 (or 8242692 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 431220332444 its reverse (444233022134), we get a palindrome (875453354578).

The spelling of 431220332444 in words is "four hundred thirty-one billion, two hundred twenty million, three hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 29 41 44 58 82 116 164 319 451 638 902 1189 1276 1804 2378 4756 13079 26158 52316 8242609 16485218 32970436 90668699 181337398 239035661 337946969 362674796 478071322 675893938 956142644 1351787876 2629392271 3717416659 5258784542 7434833318 9800462101 10517569084 14869666636 19600924202 39201848404 107805083111 215610166222 431220332444