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1444102344 = 233111019
BaseRepresentation
bin101011000010011…
…0100000011001000
310201122100000000000
41112010310003020
510424142233334
6355144043000
750533444626
oct12604640310
93648300000
101444102344
11681181513
12343763460
131a0250639
14d9b12516
1586ba7299
hex561340c8

1444102344 has 96 divisors (see below), whose sum is σ = 4065516000. Its totient is φ = 480895056.

The previous prime is 1444102339. The next prime is 1444102351. The reversal of 1444102344 is 4432014441.

1444102344 is a `hidden beast` number, since 14 + 4 + 410 + 234 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1416667 + ... + 1417685.

It is an arithmetic number, because the mean of its divisors is an integer number (42349125).

Almost surely, 21444102344 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 1444102344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032758000).

1444102344 is an abundant number, since it is smaller than the sum of its proper divisors (2621413656).

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

1444102344 is an frugal number, since it uses more digits than its factorization.

1444102344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1444102344 is about 38001.3466077190. The cubic root of 1444102344 is about 1130.3145661425.

Adding to 1444102344 its reverse (4432014441), we get a palindrome (5876116785).

The spelling of 1444102344 in words is "one billion, four hundred forty-four million, one hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1019 1458 1944 2038 2187 2916 3057 4076 4374 5832 6114 6561 8152 8748 9171 12228 13122 17496 18342 19683 24456 26244 27513 36684 39366 52488 55026 59049 73368 78732 82539 110052 118098 157464 165078 177147 220104 236196 247617 330156 354294 472392 495234 660312 708588 742851 990468 1417176 1485702 1980936 2228553 2971404 4457106 5942808 6685659 8914212 13371318 17828424 20056977 26742636 40113954 53485272 60170931 80227908 120341862 160455816 180512793 240683724 361025586 481367448 722051172 1444102344