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2144233440 = 253251489051
BaseRepresentation
bin111111111001110…
…0110011111100000
312112102202100022100
41333303212133200
513342410432230
6552434210400
7104064453306
oct17763463740
95472670270
102144233440
11a00400358
124ba123a00
132823075ab
14164ac2276
15c83a3660
hex7fce67e0

2144233440 has 72 divisors (see below), whose sum is σ = 7317201528. Its totient is φ = 571795200.

The previous prime is 2144233433. The next prime is 2144233459. The reversal of 2144233440 is 443324412.

It is a happy number.

2144233440 is a `hidden beast` number, since 214 + 4 + 2 + 3 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 743086 + ... + 745965.

It is an arithmetic number, because the mean of its divisors is an integer number (101627799).

Almost surely, 22144233440 is an apocalyptic number.

2144233440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144233440 is an abundant number, since it is smaller than the sum of its proper divisors (5172968088).

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

2144233440 is a wasteful number, since it uses less digits than its factorization.

2144233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489072 (or 1489061 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2144233440 is about 46305.8683106148. The cubic root of 2144233440 is about 1289.5079428548.

Adding to 2144233440 its reverse (443324412), we get a palindrome (2587557852).

The spelling of 2144233440 in words is "two billion, one hundred forty-four million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1489051 2978102 4467153 5956204 7445255 8934306 11912408 13401459 14890510 17868612 22335765 23824816 26802918 29781020 35737224 44671530 47649632 53605836 59562040 67007295 71474448 89343060 107211672 119124080 134014590 142948896 178686120 214423344 238248160 268029180 357372240 428846688 536058360 714744480 1072116720 2144233440