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2144355520 = 26517401983
BaseRepresentation
bin111111111010000…
…0100010011000000
312112102222112202211
41333310010103000
513342423334040
6552440551504
7104065502236
oct17764042300
95472875684
102144355520
11a0048404a
124ba182594
1328234b028
14164b14956
15c83c98ea
hex7fd044c0

2144355520 has 112 divisors (see below), whose sum is σ = 5425610688. Its totient is φ = 804454400.

The previous prime is 2144355517. The next prime is 2144355557. The reversal of 2144355520 is 255534412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2180949 + ... + 2181931.

Almost surely, 22144355520 is an apocalyptic number.

2144355520 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 2144355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712805344).

2144355520 is an abundant number, since it is smaller than the sum of its proper divisors (3281255168).

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

2144355520 is a wasteful number, since it uses less digits than its factorization.

2144355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 2144355520 is about 46307.1864833095. The cubic root of 2144355520 is about 1289.5324147148.

Adding to 2144355520 its reverse (255534412), we get a palindrome (2399889932).

The spelling of 2144355520 in words is "two billion, one hundred forty-four million, three hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 401 544 680 802 983 1088 1360 1604 1966 2005 2720 3208 3932 4010 4915 5440 6416 6817 7864 8020 9830 12832 13634 15728 16040 16711 19660 25664 27268 31456 32080 33422 34085 39320 54536 62912 64160 66844 68170 78640 83555 109072 128320 133688 136340 157280 167110 218144 267376 272680 314560 334220 394183 436288 534752 545360 668440 788366 1069504 1090720 1336880 1576732 1970915 2181440 2673760 3153464 3941830 5347520 6306928 6701111 7883660 12613856 13402222 15767320 25227712 26804444 31534640 33505555 53608888 63069280 67011110 107217776 126138560 134022220 214435552 268044440 428871104 536088880 1072177760 2144355520