Search a number
-
+
44424000244240 = 2458917233621199
BaseRepresentation
bin10100001100111010001001…
…10000010000101000010000
312211021220002221212210222021
422012131010300100220100
521310320323030303430
6234252034243021224
712233346065466331
oct1206350460205020
9184256087783867
1044424000244240
1113178127008831
124b9580396a814
131ba321c084a86
14ad81c127c288
1552088460e07a
hex286744c10a10

44424000244240 has 80 divisors (see below), whose sum is σ = 104506962912000. Its totient is φ = 17559739524096.

The previous prime is 44424000244187. The next prime is 44424000244241. The reversal of 44424000244240 is 4244200042444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 44424000244196 and 44424000244205.

It is not an unprimeable number, because it can be changed into a prime (44424000244241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10457161 + ... + 14078359.

It is an arithmetic number, because the mean of its divisors is an integer number (1306337036400).

Almost surely, 244424000244240 is an apocalyptic number.

44424000244240 is a gapful number since it is divisible by the number (40) 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 44424000244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52253481456000).

44424000244240 is an abundant number, since it is smaller than the sum of its proper divisors (60082962667760).

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

44424000244240 is a wasteful number, since it uses less digits than its factorization.

44424000244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623024 (or 3623018 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 44424000244240 its reverse (4244200042444), we get a palindrome (48668200286684).

The spelling of 44424000244240 in words is "forty-four trillion, four hundred twenty-four billion, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1723 1780 3446 3560 6892 7120 8615 13784 17230 27568 34460 68920 137840 153347 306694 613388 766735 1226776 1533470 2453552 3066940 3621199 6133880 7242398 12267760 14484796 18105995 28969592 36211990 57939184 72423980 144847960 289695920 322286711 644573422 1289146844 1611433555 2578293688 3222867110 5156587376 6239325877 6445734220 12478651754 12891468440 24957303508 25782936880 31196629385 49914607016 62393258770 99829214032 124786517540 249573035080 499146070160 555300003053 1110600006106 2221200012212 2776500015265 4442400024424 5553000030530 8884800048848 11106000061060 22212000122120 44424000244240