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11444005430 = 251113172232111
BaseRepresentation
bin10101010100001110…
…11010101000110110
31002112112220201011222
422222013122220312
5141414131133210
65131324430342
7553410304214
oct125207325066
932475821158
1011444005430
11494292a730
1222746a83b2
131104c05960
147a7c4bcb4
1546ea46655
hex2aa1daa36

11444005430 has 128 divisors (see below), whose sum is σ = 25751126016. Its totient is φ = 3597465600.

The previous prime is 11444005429. The next prime is 11444005439. The reversal of 11444005430 is 3450044411.

It is a happy number.

11444005430 is digitally balanced in base 2, 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 a self number, because there is not a number n which added to its sum of digits gives 11444005430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444005439) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5420075 + ... + 5422185.

It is an arithmetic number, because the mean of its divisors is an integer number (201180672).

Almost surely, 211444005430 is an apocalyptic number.

11444005430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11444005430 is an abundant number, since it is smaller than the sum of its proper divisors (14307120586).

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

11444005430 is a wasteful number, since it uses less digits than its factorization.

11444005430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382.

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 11444005430 its reverse (3450044411), we get a palindrome (14894049841).

The spelling of 11444005430 in words is "eleven billion, four hundred forty-four million, five thousand, four hundred thirty".

Divisors: 1 2 5 10 11 13 17 22 26 34 55 65 85 110 130 143 170 187 221 223 286 374 442 446 715 935 1105 1115 1430 1870 2111 2210 2230 2431 2453 2899 3791 4222 4862 4906 5798 7582 10555 12155 12265 14495 18955 21110 23221 24310 24530 27443 28990 31889 35887 37910 41701 46442 49283 54886 63778 71774 83402 98566 116105 137215 159445 179435 208505 232210 246415 274430 301873 318890 358870 394757 417010 466531 470753 492830 542113 603746 789514 933062 941506 1084226 1509365 1973785 2332655 2353765 2710565 3018730 3947570 4665310 4707530 5131841 5178283 5421130 6119789 8002801 10263682 10356566 12239578 16005602 25659205 25891415 30598945 40014005 51318410 51782830 61197890 67317679 80028010 88030811 104036413 134635358 176061622 208072826 336588395 440154055 520182065 673176790 880308110 1040364130 1144400543 2288801086 5722002715 11444005430