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1441131624 = 2332161312409
BaseRepresentation
bin101010111100101…
…1110110001101000
310201102202001221100
41111321132301220
510422412202444
6355000241400
750466262632
oct12571366150
93642661840
101441131624
1167a532579
12342770260
1319c75040a
14d957ba52
15867bbe69
hex55e5ec68

1441131624 has 48 divisors (see below), whose sum is σ = 3905799300. Its totient is φ = 480040704.

The previous prime is 1441131623. The next prime is 1441131641. The reversal of 1441131624 is 4261311441.

1441131624 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 31 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1354976100 + 86155524 = 36810^2 + 9282^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1441131623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109932 + ... + 122340.

Almost surely, 21441131624 is an apocalyptic number.

It is an amenable number.

1441131624 is an abundant number, since it is smaller than the sum of its proper divisors (2464667676).

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

1441131624 is a wasteful number, since it uses less digits than its factorization.

1441131624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14034 (or 14027 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1441131624 is about 37962.2394492211. The cubic root of 1441131624 is about 1129.5389624702.

The spelling of 1441131624 in words is "one billion, four hundred forty-one million, one hundred thirty-one thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1613 3226 4839 6452 9678 12409 12904 14517 19356 24818 29034 37227 38712 49636 58068 74454 99272 111681 116136 148908 223362 297816 446724 893448 20015717 40031434 60047151 80062868 120094302 160125736 180141453 240188604 360282906 480377208 720565812 1441131624