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2144429584 = 241159920341
BaseRepresentation
bin111111111010001…
…0110011000010000
312112110010022100221
41333310112120100
513342433221314
6552442322424
7104066231203
oct17764263020
95473108327
102144429584
11a00524760
124ba1b9414
1328237595b
14164b3393a
15c83e1824
hex7fd16610

2144429584 has 40 divisors (see below), whose sum is σ = 4540334400. Its totient is φ = 973065600.

The previous prime is 2144429491. The next prime is 2144429591. The reversal of 2144429584 is 4859244412.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2144429584.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95254 + ... + 115594.

It is an arithmetic number, because the mean of its divisors is an integer number (113508360).

Almost surely, 22144429584 is an apocalyptic number.

It is an amenable number.

2144429584 is an abundant number, since it is smaller than the sum of its proper divisors (2395904816).

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

2144429584 is a wasteful number, since it uses less digits than its factorization.

2144429584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20959 (or 20953 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The square root of 2144429584 is about 46307.9861794918. The cubic root of 2144429584 is about 1289.5472609516.

The spelling of 2144429584 in words is "two billion, one hundred forty-four million, four hundred twenty-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 599 1198 2396 4792 6589 9584 13178 20341 26356 40682 52712 81364 105424 162728 223751 325456 447502 895004 1790008 3580016 12184259 24368518 48737036 97474072 134026849 194948144 268053698 536107396 1072214792 2144429584