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2144113104 = 24378376883
BaseRepresentation
bin111111111001100…
…1001000111010000
312112102112020020110
41333303021013100
513342343104404
6552431441320
7104063442420
oct17763110720
95472466213
102144113104
11a00328a01
124ba086240
132822948a3
14164a90480
15c837cb89
hex7fcc91d0

2144113104 has 80 divisors (see below), whose sum is σ = 6406589952. Its totient is φ = 605215104.

The previous prime is 2144113099. The next prime is 2144113141. The reversal of 2144113104 is 4013114412.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 10554 + ... + 66329.

Almost surely, 22144113104 is an apocalyptic number.

2144113104 is a gapful number since it is divisible by the number (24) 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 2144113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203294976).

2144113104 is an abundant number, since it is smaller than the sum of its proper divisors (4262476848).

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

2144113104 is a wasteful number, since it uses less digits than its factorization.

2144113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76984 (or 76978 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2144113104 is about 46304.5689322339. The cubic root of 2144113104 is about 1289.4838196836.

Adding to 2144113104 its reverse (4013114412), we get a palindrome (6157227516).

The spelling of 2144113104 in words is "two billion, one hundred forty-four million, one hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 664 996 1162 1328 1743 1992 2324 3486 3984 4648 6972 9296 13944 27888 76883 153766 230649 307532 461298 538181 615064 922596 1076362 1230128 1614543 1845192 2152724 3229086 3690384 4305448 6381289 6458172 8610896 12762578 12916344 19143867 25525156 25832688 38287734 44669023 51050312 76575468 89338046 102100624 134007069 153150936 178676092 268014138 306301872 357352184 536028276 714704368 1072056552 2144113104