Search a number
-
+
2144010144 = 253191116929
BaseRepresentation
bin111111111001010…
…1111111110100000
312112102100000000010
41333302233332200
513342331311034
6552425324520
7104062533303
oct17762577640
95472300003
102144010144
11a00268611
124ba036740
13282259a73
14164a64b3a
15c835c3e9
hex7fcaffa0

2144010144 has 48 divisors (see below), whose sum is σ = 5657541120. Its totient is φ = 710922240.

The previous prime is 2144010137. The next prime is 2144010149. The reversal of 2144010144 is 4410104412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×21440101443 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2144010144.

It is not an unprimeable number, because it can be changed into a prime (2144010149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40129 + ... + 76800.

It is an arithmetic number, because the mean of its divisors is an integer number (117865440).

Almost surely, 22144010144 is an apocalyptic number.

2144010144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2144010144 is an abundant number, since it is smaller than the sum of its proper divisors (3513530976).

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

2144010144 is a wasteful number, since it uses less digits than its factorization.

2144010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117133 (or 117125 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2144010144 is about 46303.4571495477. The cubic root of 2144010144 is about 1289.4631790780.

Adding to 2144010144 its reverse (4410104412), we get a palindrome (6554114556).

The spelling of 2144010144 in words is "two billion, one hundred forty-four million, ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1146 1528 2292 3056 4584 6112 9168 18336 116929 233858 350787 467716 701574 935432 1403148 1870864 2806296 3741728 5612592 11225184 22333439 44666878 67000317 89333756 134000634 178667512 268001268 357335024 536002536 714670048 1072005072 2144010144