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7444147344 = 243295347807
BaseRepresentation
bin1101110111011010…
…01010110010010000
3201012210110212101220
412323231022302100
5110221200203334
63230401525040
7352321131324
oct67355126220
921183425356
107444147344
113180033097
121539043780
13918333a1a
14508933984
152d87ed449
hex1bbb4ac90

7444147344 has 40 divisors (see below), whose sum is σ = 19893845760. Its totient is φ = 2395817088.

The previous prime is 7444147343. The next prime is 7444147387. The reversal of 7444147344 is 4437414447.

It is a junction number, because it is equal to n+sod(n) for n = 7444147296 and 7444147305.

It is not an unprimeable number, because it can be changed into a prime (7444147343) 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 7 ways as a sum of consecutive naturals, for example, 2672512 + ... + 2675295.

It is an arithmetic number, because the mean of its divisors is an integer number (497346144).

Almost surely, 27444147344 is an apocalyptic number.

It is an amenable number.

7444147344 is an abundant number, since it is smaller than the sum of its proper divisors (12449698416).

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

7444147344 is a wasteful number, since it uses less digits than its factorization.

7444147344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347847 (or 5347841 counting only the distinct ones).

The product of its digits is 602112, while the sum is 42.

The square root of 7444147344 is about 86279.4723210568. The cubic root of 7444147344 is about 1952.5626919079.

The spelling of 7444147344 in words is "seven billion, four hundred forty-four million, one hundred forty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 5347807 10695614 16043421 21391228 32086842 42782456 64173684 85564912 128347368 155086403 256694736 310172806 465259209 620345612 930518418 1240691224 1861036836 2481382448 3722073672 7444147344