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1444201660 = 2251183139569
BaseRepresentation
bin101011000010100…
…1100010010111100
310201122112001020101
41112011030102330
510424203423120
6355150130444
750534340316
oct12605142274
93648461211
101444201660
1168123a0a0
123437b0a24
131a02868c5
14d9b3a7b6
1586bc690a
hex5614c4bc

1444201660 has 96 divisors (see below), whose sum is σ = 3378412800. Its totient is φ = 514199040.

The previous prime is 1444201637. The next prime is 1444201673. The reversal of 1444201660 is 661024441.

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, 2537856 + ... + 2538424.

It is an arithmetic number, because the mean of its divisors is an integer number (35191800).

Almost surely, 21444201660 is an apocalyptic number.

1444201660 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 1444201660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689206400).

1444201660 is an abundant number, since it is smaller than the sum of its proper divisors (1934211140).

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

1444201660 is a wasteful number, since it uses less digits than its factorization.

1444201660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1444201660 is about 38002.6533284191. The cubic root of 1444201660 is about 1130.3404774519.

The spelling of 1444201660 in words is "one billion, four hundred forty-four million, two hundred one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 139 166 220 278 332 415 556 569 695 830 913 1138 1390 1529 1660 1826 2276 2780 2845 3058 3652 4565 5690 6116 6259 7645 9130 11380 11537 12518 15290 18260 23074 25036 30580 31295 46148 47227 57685 62590 79091 94454 115370 125180 126907 158182 188908 230740 236135 253814 316364 395455 472270 507628 519497 634535 790910 870001 944540 1038994 1269070 1581820 1740002 2077988 2538140 2597485 3480004 4350005 5194970 6564553 8700010 10389940 13129106 17400020 26258212 32822765 65645530 72210083 131291060 144420166 288840332 361050415 722100830 1444201660