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1444012260 = 2235167211683
BaseRepresentation
bin101011000010001…
…1110000011100100
310201122011102102120
41112010132003210
510424131343020
6355142105540
750532621165
oct12604360344
93648142376
101444012260
1168111a869
1234371b2b0
131a021b632
14d9acb76c
1586b8a740
hex5611e0e4

1444012260 has 96 divisors (see below), whose sum is σ = 4092705792. Its totient is φ = 380392320.

The previous prime is 1444012259. The next prime is 1444012267. The reversal of 1444012260 is 622104441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1444012260.

It is not an unprimeable number, because it can be changed into a prime (1444012267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2113879 + ... + 2114561.

It is an arithmetic number, because the mean of its divisors is an integer number (42632352).

Almost surely, 21444012260 is an apocalyptic number.

1444012260 is a gapful number since it is divisible by the number (10) 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 1444012260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046352896).

1444012260 is an abundant number, since it is smaller than the sum of its proper divisors (2648693532).

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

1444012260 is a wasteful number, since it uses less digits than its factorization.

1444012260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1444012260 is about 38000.1613154471. The cubic root of 1444012260 is about 1130.2910624125.

The spelling of 1444012260 in words is "one billion, four hundred forty-four million, twelve thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 211 334 422 501 633 668 683 835 844 1002 1055 1266 1366 1670 2004 2049 2110 2505 2532 2732 3165 3340 3415 4098 4220 5010 6330 6830 8196 10020 10245 12660 13660 20490 35237 40980 70474 105711 114061 140948 144113 176185 211422 228122 288226 342183 352370 422844 432339 456244 528555 570305 576452 684366 704740 720565 864678 1057110 1140610 1368732 1441130 1710915 1729356 2114220 2161695 2281220 2882260 3421830 4323390 6843660 8646780 24066871 48133742 72200613 96267484 120334355 144401226 240668710 288802452 361003065 481337420 722006130 1444012260