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2144240352 = 25327445279
BaseRepresentation
bin111111111001110…
…1000001011100000
312112102202200210100
41333303220023200
513342411142402
6552434302400
7104064512412
oct17763501340
95472680710
102144240352
11a00405571
124ba127a00
1328230a797
14164ac49b2
15c83a571c
hex7fce82e0

2144240352 has 36 divisors (see below), whose sum is σ = 6097684320. Its totient is φ = 714746688.

The previous prime is 2144240339. The next prime is 2144240401. The reversal of 2144240352 is 2530424412.

2144240352 is a `hidden beast` number, since 214 + 42 + 403 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 3722352 + ... + 3722927.

It is an arithmetic number, because the mean of its divisors is an integer number (169380120).

Almost surely, 22144240352 is an apocalyptic number.

It is an amenable number.

2144240352 is an abundant number, since it is smaller than the sum of its proper divisors (3953443968).

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

2144240352 is a wasteful number, since it uses less digits than its factorization.

2144240352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7445295 (or 7445284 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2144240352 is about 46305.9429447236. The cubic root of 2144240352 is about 1289.5093284423.

Adding to 2144240352 its reverse (2530424412), we get a palindrome (4674664764).

The spelling of 2144240352 in words is "two billion, one hundred forty-four million, two hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7445279 14890558 22335837 29781116 44671674 59562232 67007511 89343348 119124464 134015022 178686696 238248928 268030044 357373392 536060088 714746784 1072120176 2144240352