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2144373680 = 24529924299
BaseRepresentation
bin111111111010000…
…1000101110110000
312112110000110200102
41333310020232300
513342424424210
6552441211532
7104065606211
oct17764105660
95473013612
102144373680
11a00496759
124ba190ba8
13282356387
14164b1b408
15c83ceea5
hex7fd08bb0

2144373680 has 40 divisors (see below), whose sum is σ = 5157594000. Its totient is φ = 828171008.

The previous prime is 2144373661. The next prime is 2144373713. The reversal of 2144373680 is 863734412.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459830 + ... + 464469.

It is an arithmetic number, because the mean of its divisors is an integer number (128939850).

Almost surely, 22144373680 is an apocalyptic number.

2144373680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144373680 is an abundant number, since it is smaller than the sum of its proper divisors (3013220320).

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

2144373680 is a wasteful number, since it uses less digits than its factorization.

2144373680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924341 (or 924335 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 2144373680 is about 46307.3825647704. The cubic root of 2144373680 is about 1289.5360549449.

The spelling of 2144373680 in words is "two billion, one hundred forty-four million, three hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 924299 1848598 3697196 4621495 7394392 9242990 14788784 18485980 26804671 36971960 53609342 73943920 107218684 134023355 214437368 268046710 428874736 536093420 1072186840 2144373680