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4431144312 = 233372930651
BaseRepresentation
bin1000010000001110…
…11110010101111000
3102102210222110021000
410020013132111320
533033333104222
62011410445000
7214544051040
oct41007362570
912383873230
104431144312
1119742a1341
12a37b93760
13558048aaa
14300704720
151ae03b9ac
hex1081de578

4431144312 has 64 divisors (see below), whose sum is σ = 14067129600. Its totient is φ = 1266040800.

The previous prime is 4431144301. The next prime is 4431144313. The reversal of 4431144312 is 2134411344.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431144313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1463814 + ... + 1466837.

It is an arithmetic number, because the mean of its divisors is an integer number (219798900).

Almost surely, 24431144312 is an apocalyptic number.

4431144312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4431144312 is an abundant number, since it is smaller than the sum of its proper divisors (9635985288).

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

4431144312 is a wasteful number, since it uses less digits than its factorization.

4431144312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930673 (or 2930663 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4431144312 is about 66566.8409345073. The cubic root of 4431144312 is about 1642.4996968370.

Adding to 4431144312 its reverse (2134411344), we get a palindrome (6565555656).

The spelling of 4431144312 in words is "four billion, four hundred thirty-one million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2930651 5861302 8791953 11722604 17583906 20514557 23445208 26375859 35167812 41029114 52751718 61543671 70335624 79127577 82058228 105503436 123087342 158255154 164116456 184631013 211006872 246174684 316510308 369262026 492349368 553893039 633020616 738524052 1107786078 1477048104 2215572156 4431144312