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1444340468 = 2217315631217
BaseRepresentation
bin101011000010110…
…1110001011110100
310201122210002122102
41112011232023310
510424222343333
6355153121232
750535456104
oct12605561364
93648702572
101444340468
1168132440a
12343859218
131a0304b3c
14d9b75204
1586c02ae8
hex5616e2f4

1444340468 has 48 divisors (see below), whose sum is σ = 2769790464. Its totient is φ = 656056320.

The previous prime is 1444340467. The next prime is 1444340479. The reversal of 1444340468 is 8640434441.

It is a happy number.

It is a super-2 number, since 2×14443404682 = 4172238775004918048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444340467) 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, 1186196 + ... + 1187412.

It is an arithmetic number, because the mean of its divisors is an integer number (57703968).

Almost surely, 21444340468 is an apocalyptic number.

It is an amenable number.

1444340468 is a deficient number, since it is larger than the sum of its proper divisors (1325449996).

1444340468 is a wasteful number, since it uses less digits than its factorization.

1444340468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The square root of 1444340468 is about 38004.4795780708. The cubic root of 1444340468 is about 1130.3766901404.

The spelling of 1444340468 in words is "one billion, four hundred forty-four million, three hundred forty thousand, four hundred sixty-eight".

Divisors: 1 2 4 17 31 34 62 68 124 527 563 1054 1126 1217 2108 2252 2434 4868 9571 17453 19142 20689 34906 37727 38284 41378 69812 75454 82756 150908 296701 593402 641359 685171 1186804 1282718 1370342 2565436 2740684 11647907 21240301 23295814 42480602 46591628 84961204 361085117 722170234 1444340468