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2123041344 = 26314717517
BaseRepresentation
bin111111010001011…
…0000101001000000
312110221212200012220
41332202300221000
513321444310334
6550400051040
7103416360624
oct17642605100
95427780186
102123041344
1199a446426
124b3003a80
1327aac76a8
14161d67184
15c65b9449
hex7e8b0a40

2123041344 has 56 divisors (see below), whose sum is σ = 5621779968. Its totient is φ = 707105280.

The previous prime is 2123041307. The next prime is 2123041363. The reversal of 2123041344 is 4431403212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278674 + ... + 286190.

It is an arithmetic number, because the mean of its divisors is an integer number (100388928).

Almost surely, 22123041344 is an apocalyptic number.

2123041344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2123041344 is an abundant number, since it is smaller than the sum of its proper divisors (3498738624).

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

2123041344 is a wasteful number, since it uses less digits than its factorization.

2123041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9003 (or 8993 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2123041344 is about 46076.4727816703. The cubic root of 2123041344 is about 1285.2456734273.

Adding to 2123041344 its reverse (4431403212), we get a palindrome (6554444556).

The spelling of 2123041344 in words is "two billion, one hundred twenty-three million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1471 2942 4413 5884 7517 8826 11768 15034 17652 22551 23536 30068 35304 45102 47072 60136 70608 90204 94144 120272 141216 180408 240544 282432 360816 481088 721632 1443264 11057507 22115014 33172521 44230028 66345042 88460056 132690084 176920112 265380168 353840224 530760336 707680448 1061520672 2123041344