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2144948160 = 26355342157
BaseRepresentation
bin111111111011001…
…0100111111000000
312112111002122201110
41333312110333000
513343101320120
6552501403320
7104103521115
oct17766247700
95474078643
102144948160
11a00849333
124ba409540
132824c79c4
14164c2a90c
15c84952e0
hex7fd94fc0

2144948160 has 112 divisors (see below), whose sum is σ = 6938869536. Its totient is φ = 561180672.

The previous prime is 2144948147. The next prime is 2144948161. The reversal of 2144948160 is 618494412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144948161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29802 + ... + 71958.

Almost surely, 22144948160 is an apocalyptic number.

2144948160 is a gapful number since it is divisible by the number (20) 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 2144948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469434768).

2144948160 is an abundant number, since it is smaller than the sum of its proper divisors (4793921376).

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

2144948160 is a wasteful number, since it uses less digits than its factorization.

2144948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42230 (or 42220 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2144948160 is about 46313.5850480180. The cubic root of 2144948160 is about 1289.6512006920.

The spelling of 2144948160 in words is "two billion, one hundred forty-four million, nine hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 318 320 424 480 530 636 795 848 960 1060 1272 1590 1696 2120 2544 3180 3392 4240 5088 6360 8480 10176 12720 16960 25440 42157 50880 84314 126471 168628 210785 252942 337256 421570 505884 632355 674512 843140 1011768 1264710 1349024 1686280 2023536 2234321 2529420 2698048 3372560 4047072 4468642 5058840 6702963 6745120 8094144 8937284 10117680 11171605 13405926 13490240 17874568 20235360 22343210 26811852 33514815 35749136 40470720 44686420 53623704 67029630 71498272 89372840 107247408 134059260 142996544 178745680 214494816 268118520 357491360 428989632 536237040 714982720 1072474080 2144948160