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104321404304 = 24132103463809
BaseRepresentation
bin110000100101000001…
…0100100110110010000
3100222021100010102111222
41201022002210312100
53202122234414204
6115531413424212
710352116206605
oct1411202446620
9328240112458
10104321404304
1140273793117
121827503b068
139ab6bb4600
145098d5a6ac
152aa87eaabe
hex184a0a4d90

104321404304 has 120 divisors (see below), whose sum is σ = 221742593280. Its totient is φ = 47519087616.

The previous prime is 104321404303. The next prime is 104321404339. The reversal of 104321404304 is 403404123401.

104321404304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (104321404303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 128950652 + ... + 128951460.

It is an arithmetic number, because the mean of its divisors is an integer number (1847854944).

Almost surely, 2104321404304 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 104321404304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110871296640).

104321404304 is an abundant number, since it is smaller than the sum of its proper divisors (117421188976).

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

104321404304 is a wasteful number, since it uses less digits than its factorization.

104321404304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 104321404304 its reverse (403404123401), we get a palindrome (507725527705).

The spelling of 104321404304 in words is "one hundred four billion, three hundred twenty-one million, four hundred four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 103 104 169 206 208 338 412 463 676 809 824 926 1339 1352 1618 1648 1852 2678 2704 3236 3704 5356 6019 6472 7408 10517 10712 12038 12944 17407 21034 21424 24076 34814 42068 47689 48152 69628 78247 83327 84136 95378 96304 136721 139256 156494 166654 168272 190756 273442 278512 312988 333308 374567 381512 546884 619957 625976 666616 749134 763024 1083251 1093768 1239914 1251952 1333232 1498268 2166502 2187536 2479828 2996536 4333004 4869371 4959656 5993072 8059441 8666008 9738742 9919312 14082263 16118882 17332016 19477484 28164526 32237764 38580401 38954968 56329052 63301823 64475528 77160802 77909936 112658104 126603646 128951056 154321604 225316208 253207292 308643208 501545213 506414584 617286416 1003090426 1012829168 2006180852 4012361704 6520087769 8024723408 13040175538 26080351076 52160702152 104321404304