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21344303024 = 2411317195441
BaseRepresentation
bin10011111000001110…
…000011011110110000
32001002112001221022122
4103320032003132300
5322203120144044
613445550253412
71353634403462
oct237016033660
961075057278
1021344303024
119063336860
1241781b7268
132022054c05
141066a5a132
1584dcacdee
hex4f83837b0

21344303024 has 80 divisors (see below), whose sum is σ = 46642728960. Its totient is φ = 9374208000.

The previous prime is 21344303003. The next prime is 21344303039. The reversal of 21344303024 is 42030344312.

It is a junction number, because it is equal to n+sod(n) for n = 21344302984 and 21344303002.

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, 3920144 + ... + 3925584.

It is an arithmetic number, because the mean of its divisors is an integer number (583034112).

Almost surely, 221344303024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21344303024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23321364480).

21344303024 is an abundant number, since it is smaller than the sum of its proper divisors (25298425936).

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

21344303024 is a wasteful number, since it uses less digits than its factorization.

21344303024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6210 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 21344303024 its reverse (42030344312), we get a palindrome (63374647336).

The spelling of 21344303024 in words is "twenty-one billion, three hundred forty-four million, three hundred three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 719 1364 1438 2728 2876 5441 5456 5752 7909 10882 11504 15818 21764 22289 31636 43528 44578 59851 63272 87056 89156 119702 126544 168671 178312 239404 245179 337342 356624 478808 490358 674684 957616 980716 1349368 1855381 1961432 2698736 3710762 3912079 3922864 7421524 7824158 14843048 15648316 29686096 31296632 43032869 62593264 86065738 121274449 172131476 242548898 344262952 485097796 688525904 970195592 1334018939 1940391184 2668037878 5336075756 10672151512 21344303024