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1444421244 = 223737597877
BaseRepresentation
bin101011000011000…
…0001111001111100
310201122221012110010
41112012001321330
510424232434434
6355154543220
750536243440
oct12606017174
93648835403
101444421244
1168137a072
12343897b10
131a0332836
14d9b96820
1586c1b9e9
hex56181e7c

1444421244 has 96 divisors (see below), whose sum is σ = 4023452160. Its totient is φ = 394682112.

The previous prime is 1444421219. The next prime is 1444421261. The reversal of 1444421244 is 4421244441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179434 + ... + 187310.

It is an arithmetic number, because the mean of its divisors is an integer number (41910960).

Almost surely, 21444421244 is an apocalyptic number.

1444421244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444421244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011726080).

1444421244 is an abundant number, since it is smaller than the sum of its proper divisors (2579030916).

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

1444421244 is a wasteful number, since it uses less digits than its factorization.

1444421244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7987 (or 7985 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 1444421244 is about 38005.5422800412. The cubic root of 1444421244 is about 1130.3977621816.

Adding to 1444421244 its reverse (4421244441), we get a palindrome (5865665685).

The spelling of 1444421244 in words is "one billion, four hundred forty-four million, four hundred twenty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 59 74 84 111 118 148 177 222 236 259 354 413 444 518 708 777 826 1036 1239 1554 1652 2183 2478 3108 4366 4956 6549 7877 8732 13098 15281 15754 23631 26196 30562 31508 45843 47262 55139 61124 91686 94524 110278 165417 183372 220556 291449 330834 464743 582898 661668 874347 929486 1165796 1394229 1748694 1858972 2040143 2788458 3253201 3497388 4080286 5576916 6120429 6506402 8160572 9759603 12240858 13012804 17195491 19519206 24481716 34390982 39038412 51586473 68781964 103172946 120368437 206345892 240736874 361105311 481473748 722210622 1444421244