Search a number
-
+
44242232422432 = 25111392731331099
BaseRepresentation
bin10100000111100111100101…
…00011000011000000100000
312210122111221020122202002211
422003303302203003000200
521244331043000004212
6234032333451451504
712214252522501642
oct1203636243030040
9183574836582084
1044242232422432
111310803089a9a0
124b66536156b94
131b8c042108a25
14acd49a784892
1551ac96b069a7
hex283cf28c3020

44242232422432 has 96 divisors (see below), whose sum is σ = 95739180768000. Its totient is φ = 19958057683200.

The previous prime is 44242232422417. The next prime is 44242232422447. The reversal of 44242232422432 is 23422423224244.

It is an interprime number because it is at equal distance from previous prime (44242232422417) and next prime (44242232422447).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 133456819 + ... + 133787917.

It is an arithmetic number, because the mean of its divisors is an integer number (997283133000).

Almost surely, 244242232422432 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 44242232422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47869590384000).

44242232422432 is an abundant number, since it is smaller than the sum of its proper divisors (51496948345568).

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

44242232422432 is a wasteful number, since it uses less digits than its factorization.

44242232422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333990 (or 333982 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 40.

Adding to 44242232422432 its reverse (23422423224244), we get a palindrome (67664655646676).

The spelling of 44242232422432 in words is "forty-four trillion, two hundred forty-two billion, two hundred thirty-two million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 139 176 278 352 556 1112 1529 2224 2731 3058 4448 5462 6116 10924 12232 21848 24464 30041 43696 48928 60082 87392 120164 240328 331099 379609 480656 662198 759218 961312 1324396 1518436 2648792 3036872 3642089 4175699 5297584 6073744 7284178 8351398 10595168 12147488 14568356 16702796 29136712 33405592 46022761 58273424 66811184 92045522 116546848 133622368 184091044 368182088 506250371 736364176 904231369 1012500742 1472728352 1808462738 2025001484 3616925476 4050002968 7233850952 8100005936 9946545059 14467701904 16200011872 19893090118 28935403808 39786180236 79572360472 125688160291 159144720944 251376320582 318289441888 502752641164 1005505282328 1382569763201 2011010564656 2765139526402 4022021129312 5530279052804 11060558105608 22121116211216 44242232422432