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431445144 = 233134332159
BaseRepresentation
bin11001101101110…
…101010010011000
31010001211200110210
4121231311102120
51340422221034
6110451211120
713456136364
oct3155652230
91101750423
10431445144
112015a3139
121005a6aa0
136b5012b0
144142c2a4
1527d258e9
hex19b75498

431445144 has 64 divisors (see below), whose sum is σ = 1188633600. Its totient is φ = 129661056.

The previous prime is 431445139. The next prime is 431445163. The reversal of 431445144 is 441544134.

It is a super-2 number, since 2×4314451442 = 372289824562361472, which 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 15 ways as a sum of consecutive naturals, for example, 2664 + ... + 29495.

It is an arithmetic number, because the mean of its divisors is an integer number (18572400).

Almost surely, 2431445144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431445144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594316800).

431445144 is an abundant number, since it is smaller than the sum of its proper divisors (757188456).

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

431445144 is a wasteful number, since it uses less digits than its factorization.

431445144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32224 (or 32220 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 431445144 is about 20771.2576412696. The cubic root of 431445144 is about 755.6288455562.

Adding to 431445144 its reverse (441544134), we get a palindrome (872989278).

The spelling of 431445144 in words is "four hundred thirty-one million, four hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6708 13416 32159 64318 96477 128636 192954 257272 385908 418067 771816 836134 1254201 1382837 1672268 2508402 2765674 3344536 4148511 5016804 5531348 8297022 10033608 11062696 16594044 17976881 33188088 35953762 53930643 71907524 107861286 143815048 215722572 431445144