Search a number
-
+
2144451288 = 233723159997
BaseRepresentation
bin111111111010001…
…1011101011011000
312112110011102010210
41333310123223120
513342434420123
6552443011120
7104066351400
oct17764335330
95473142123
102144451288
11a00539aa1
124ba209aa0
132823827b5
14164b3b800
15c83e7e93
hex7fd1bad8

2144451288 has 192 divisors, whose sum is σ = 6553267200. Its totient is φ = 582301440.

The previous prime is 2144451259. The next prime is 2144451317. The reversal of 2144451288 is 8821544412.

It is an interprime number because it is at equal distance from previous prime (2144451259) and next prime (2144451317).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2150406 + ... + 2151402.

It is an arithmetic number, because the mean of its divisors is an integer number (34131600).

Almost surely, 22144451288 is an apocalyptic number.

2144451288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144451288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276633600).

2144451288 is an abundant number, since it is smaller than the sum of its proper divisors (4408815912).

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

2144451288 is a wasteful number, since it uses less digits than its factorization.

2144451288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1099 counting only the distinct ones).

The product of its digits is 81920, while the sum is 39.

The square root of 2144451288 is about 46308.2205229266. The cubic root of 2144451288 is about 1289.5516114853.

The spelling of 2144451288 in words is "two billion, one hundred forty-four million, four hundred fifty-one thousand, two hundred eighty-eight".