Search a number
-
+
2144465360 = 245187114327
BaseRepresentation
bin111111111010001…
…1111000111010000
312112110012010102222
41333310133013100
513342440342420
6552443200212
7104066440412
oct17764370720
95473163388
102144465360
11a00549624
124ba216068
1328238901b
14164b429b2
15c83ec225
hex7fd1f1d0

2144465360 has 40 divisors (see below), whose sum is σ = 4988894976. Its totient is φ = 857267840.

The previous prime is 2144465339. The next prime is 2144465387. The reversal of 2144465360 is 635644412.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2144465360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142517 + ... + 156843.

Almost surely, 22144465360 is an apocalyptic number.

2144465360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144465360 is an abundant number, since it is smaller than the sum of its proper divisors (2844429616).

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

2144465360 is a wasteful number, since it uses less digits than its factorization.

2144465360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16211 (or 16205 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 2144465360 is about 46308.3724611436. The cubic root of 2144465360 is about 1289.5544321805.

The spelling of 2144465360 in words is "two billion, one hundred forty-four million, four hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1871 3742 7484 9355 14327 14968 18710 28654 29936 37420 57308 71635 74840 114616 143270 149680 229232 286540 573080 1146160 26805817 53611634 107223268 134029085 214446536 268058170 428893072 536116340 1072232680 2144465360