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10304100444 = 223111913729989
BaseRepresentation
bin10011001100010110…
…00001100001011100
3222121002222112111210
421212023001201130
5132100322203234
64422244344420
7513226260111
oct114613014134
928532875453
1010304100444
11440843a1a0
121bb69a5110
13c829c2771
146da6c2908
1540492bbe9
hex2662c185c

10304100444 has 96 divisors (see below), whose sum is σ = 27811526400. Its totient is φ = 2936424960.

The previous prime is 10304100439. The next prime is 10304100479. The reversal of 10304100444 is 44400140301.

It is a self number, because there is not a number n which added to its sum of digits gives 10304100444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328602 + ... + 358590.

It is an arithmetic number, because the mean of its divisors is an integer number (289703400).

Almost surely, 210304100444 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 10304100444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13905763200).

10304100444 is an abundant number, since it is smaller than the sum of its proper divisors (17507425956).

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

10304100444 is a wasteful number, since it uses less digits than its factorization.

10304100444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30163 (or 30161 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10304100444 its reverse (44400140301), we get a palindrome (54704240745).

The spelling of 10304100444 in words is "ten billion, three hundred four million, one hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 137 209 228 274 411 418 548 627 822 836 1254 1507 1644 2508 2603 3014 4521 5206 6028 7809 9042 10412 15618 18084 28633 29989 31236 57266 59978 85899 89967 114532 119956 171798 179934 329879 343596 359868 569791 659758 989637 1139582 1319516 1709373 1979274 2279164 3418746 3958548 4108493 6267701 6837492 8216986 12325479 12535402 16433972 18803103 24650958 25070804 37606206 45193423 49301916 75212412 78061367 90386846 135580269 156122734 180773692 234184101 271160538 312245468 468368202 542321076 858675037 936736404 1717350074 2576025111 3434700148 5152050222 10304100444