Search a number
-
+
4244112114424 = 23713101493311701
BaseRepresentation
bin111101110000101000110…
…010111000001011111000
3120000201210110200222110021
4331300220302320023320
51024013420200130144
613005415043500224
7615425024513530
oct75605062701370
916021713628407
104244112114424
111396a10710286
12586654687674
1324a2ab0b4460
141095b7ba84c0
15755ebe35884
hex3dc28cb82f8

4244112114424 has 128 divisors (see below), whose sum is σ = 9893926788480. Its totient is φ = 1661886720000.

The previous prime is 4244112114397. The next prime is 4244112114443.

4244112114424 is nontrivially palindromic in base 10.

4244112114424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4244112114424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362707774 + ... + 362719474.

It is an arithmetic number, because the mean of its divisors is an integer number (77296303035).

Almost surely, 24244112114424 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 4244112114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946963394240).

4244112114424 is an abundant number, since it is smaller than the sum of its proper divisors (5649814674056).

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

4244112114424 is a wasteful number, since it uses less digits than its factorization.

4244112114424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16761 (or 16757 counting only the distinct ones).

The product of its digits is 32768, while the sum is 34.

The spelling of 4244112114424 in words is "four trillion, two hundred forty-four billion, one hundred twelve million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 101 104 182 202 364 404 707 728 808 1313 1414 2626 2828 4933 5252 5656 9191 9866 10504 11701 18382 19732 23402 34531 36764 39464 46804 64129 69062 73528 81907 93608 128258 138124 152113 163814 256516 276248 304226 327628 448903 498233 513032 608452 655256 897806 996466 1064791 1181801 1216904 1795612 1992932 2129582 2363602 3487631 3591224 3985864 4259164 4727204 6477029 6975262 8272607 8518328 9454408 12954058 13950524 15363413 16545214 25908116 27901048 30726826 33090428 45339203 51816232 57721033 61453652 66180856 90678406 107543891 115442066 122907304 181356812 215087782 230884132 362713624 404047231 430175564 461768264 750373429 808094462 860351128 1500746858 1616188924 3001493716 3232377848 5252614003 5829824333 6002987432 10505228006 11659648666 21010456012 23319297332 40808770331 42020912024 46638594664 75787716329 81617540662 151575432658 163235081324 303150865316 326470162648 530514014303 606301730632 1061028028606 2122056057212 4244112114424