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11244131304 = 2337791794733
BaseRepresentation
bin10100111100011001…
…11101001111101000
31002000121211001102120
422132030331033220
5141011444200204
65055424431240
7545432352630
oct123614751750
932017731376
1011244131304
1148500232aa
122219778520
1310a2693a43
1478949d6c0
1545c2146d9
hex29e33d3e8

11244131304 has 128 divisors (see below), whose sum is σ = 32721408000. Its totient is φ = 3153556224.

The previous prime is 11244131291. The next prime is 11244131341. The reversal of 11244131304 is 40313144211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2373322 + ... + 2378054.

It is an arithmetic number, because the mean of its divisors is an integer number (255636000).

Almost surely, 211244131304 is an apocalyptic number.

11244131304 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 11244131304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16360704000).

11244131304 is an abundant number, since it is smaller than the sum of its proper divisors (21477276696).

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

11244131304 is a wasteful number, since it uses less digits than its factorization.

11244131304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11244131304 its reverse (40313144211), we get a palindrome (51557275515).

The spelling of 11244131304 in words is "eleven billion, two hundred forty-four million, one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 179 237 316 358 474 537 553 632 716 948 1074 1106 1253 1432 1659 1896 2148 2212 2506 3318 3759 4296 4424 4733 5012 6636 7518 9466 10024 13272 14141 14199 15036 18932 28282 28398 30072 33131 37864 42423 56564 56796 66262 84846 98987 99393 113128 113592 132524 169692 197974 198786 265048 296961 339384 373907 395948 397572 593922 747814 791896 795144 847207 1121721 1187844 1495628 1694414 2243442 2375688 2541621 2617349 2991256 3388828 4486884 5083242 5234698 5930449 6777656 7852047 8973768 10166484 10469396 11860898 15704094 17791347 20332968 20938792 23721796 31408188 35582694 47443592 62816376 66929353 71165388 133858706 142330776 200788059 267717412 401576118 468505471 535434824 803152236 937010942 1405516413 1606304472 1874021884 2811032826 3748043768 5622065652 11244131304