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4424442131010 = 23511311492902663
BaseRepresentation
bin100000001100010010101…
…0011010011001001000010
3120122222020222102222100110
41000120211103103021002
51034442224141143020
613224321033532150
7634440541411236
oct100304523231102
916588228388313
104424442131010
111456439268840
125b55a0874056
132612b9206195
1411420374c5c6
157a1535cb8e0
hex406254d3242

4424442131010 has 128 divisors (see below), whose sum is σ = 12037928140800. Its totient is φ = 1031025542400.

The previous prime is 4424442131009. The next prime is 4424442131089. The reversal of 4424442131010 is 101312444244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72939 + ... + 2975601.

It is an arithmetic number, because the mean of its divisors is an integer number (94046313600).

Almost surely, 24424442131010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424442131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6018964070400).

4424442131010 is an abundant number, since it is smaller than the sum of its proper divisors (7613486009790).

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

4424442131010 is a wasteful number, since it uses less digits than its factorization.

4424442131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902864.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4424442131010 its reverse (101312444244), we get a palindrome (4525754575254).

The spelling of 4424442131010 in words is "four trillion, four hundred twenty-four billion, four hundred forty-two million, one hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 149 155 165 186 298 310 330 341 447 465 682 745 894 930 1023 1490 1639 1705 2046 2235 3278 3410 4470 4619 4917 5115 8195 9238 9834 10230 13857 16390 23095 24585 27714 46190 49170 50809 69285 101618 138570 152427 254045 304854 508090 762135 1524270 2902663 5805326 8707989 14513315 17415978 29026630 31929293 43539945 63858586 87079890 89982553 95787879 159646465 179965106 191575758 269947659 319292930 432496787 449912765 478939395 539895318 864993574 899825530 957878790 989808083 1297490361 1349738295 1979616166 2162483935 2594980722 2699476590 2969424249 4324967870 4757464657 4949040415 5938848498 6487451805 9514929314 9898080830 12974903610 13407400397 14272393971 14847121245 23787323285 26814800794 28544787942 29694242490 40222201191 47574646570 67037001985 71361969855 80444402382 134074003970 142723939710 147481404367 201111005955 294962808734 402222011910 442444213101 737407021835 884888426202 1474814043670 2212221065505 4424442131010