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10404432444 = 22372231734447
BaseRepresentation
bin10011011000010011…
…10000101000111100
3222212002202221010210
421230021300220330
5132302013314234
64440231032420
7515555134200
oct115411605074
928762687123
1010404432444
11445a0380aa
12202450b710
13c9a721403
14709b5cb00
1540d649be9
hex26c270a3c

10404432444 has 144 divisors (see below), whose sum is σ = 29645457408. Its totient is φ = 2826375552.

The previous prime is 10404432427. The next prime is 10404432503. The reversal of 10404432444 is 44423440401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2337429 + ... + 2341875.

It is an arithmetic number, because the mean of its divisors is an integer number (205871232).

Almost surely, 210404432444 is an apocalyptic number.

10404432444 is a gapful number since it is divisible by the number (14) 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 10404432444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822728704).

10404432444 is an abundant number, since it is smaller than the sum of its proper divisors (19241024964).

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

10404432444 is a wasteful number, since it uses less digits than its factorization.

10404432444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 10404432444 its reverse (44423440401), we get a palindrome (54827872845).

The spelling of 10404432444 in words is "ten billion, four hundred four million, four hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 173 196 276 294 322 346 483 519 588 644 692 966 1038 1127 1211 1932 2076 2254 2422 3381 3633 3979 4447 4508 4844 6762 7266 7958 8477 8894 11937 13341 13524 14532 15916 16954 17788 23874 25431 26682 27853 31129 33908 47748 50862 53364 55706 62258 83559 93387 101724 102281 111412 124516 167118 186774 194971 204562 217903 306843 334236 373548 389942 409124 435806 584913 613686 653709 715967 769331 779884 871612 1169826 1227372 1307418 1431934 1538662 2147901 2307993 2339652 2614836 2863868 3077324 4295802 4615986 5011769 5385317 8591604 9231972 10023538 10770634 15035307 16155951 17694613 20047076 21541268 30070614 32311902 35389226 37697219 53083839 60141228 64623804 70778452 75394438 106167678 113091657 123862291 150788876 212335356 226183314 247724582 371586873 452366628 495449164 743173746 867036037 1486347492 1734072074 2601108111 3468144148 5202216222 10404432444