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2144113848 = 233317583909
BaseRepresentation
bin111111111001100…
…1001010010111000
312112102112021021000
41333303021102320
513342343120343
6552431445000
7104063444532
oct17763112270
95472467230
102144113848
11a00329518
124ba086760
13282295026
14164a90852
15c837ced3
hex7fcc94b8

2144113848 has 64 divisors (see below), whose sum is σ = 6306228000. Its totient is φ = 672662016.

The previous prime is 2144113813. The next prime is 2144113849. The reversal of 2144113848 is 8483114412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144113849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288283 + ... + 295626.

Almost surely, 22144113848 is an apocalyptic number.

It is an amenable number.

2144113848 is an abundant number, since it is smaller than the sum of its proper divisors (4162114152).

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

2144113848 is a wasteful number, since it uses less digits than its factorization.

2144113848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583941 (or 583931 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2144113848 is about 46304.5769659976. The cubic root of 2144113848 is about 1289.4839688324.

The spelling of 2144113848 in words is "two billion, one hundred forty-four million, one hundred thirteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 583909 1167818 1751727 2335636 3503454 4671272 5255181 7006908 9926453 10510362 14013816 15765543 19852906 21020724 29779359 31531086 39705812 42041448 59558718 63062172 79411624 89338077 119117436 126124344 178676154 238234872 268014231 357352308 536028462 714704616 1072056924 2144113848