Search a number
-
+
44441136048 = 24310114336397
BaseRepresentation
bin101001011000111001…
…011110101110110000
311020201011211121211210
4221120321132232300
51212003412323143
632225503440120
73132202265211
oct513071365660
9136634747753
1044441136048
1117935954311
1287432b6040
1342631b920a
142218353408
151251849033
hexa58e5ebb0

44441136048 has 80 divisors (see below), whose sum is σ = 116042010336. Its totient is φ = 14654515200.

The previous prime is 44441136011. The next prime is 44441136067. The reversal of 44441136048 is 84063114444.

It is a junction number, because it is equal to n+sod(n) for n = 44441135997 and 44441136015.

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 15 ways as a sum of consecutive naturals, for example, 6943986 + ... + 6950382.

Almost surely, 244441136048 is an apocalyptic number.

44441136048 is a gapful number since it is divisible by the number (48) 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 44441136048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58021005168).

44441136048 is an abundant number, since it is smaller than the sum of its proper divisors (71600874288).

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

44441136048 is a wasteful number, since it uses less digits than its factorization.

44441136048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7942 (or 7936 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 44441136048 in words is "forty-four billion, four hundred forty-one million, one hundred thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1433 1616 2424 2866 4299 4848 5732 6397 8598 11464 12794 17196 19191 22928 25588 34392 38382 51176 68784 76764 102352 144733 153528 289466 307056 434199 578932 646097 868398 1157864 1292194 1736796 1938291 2315728 2584388 3473592 3876582 5168776 6947184 7753164 9166901 10337552 15506328 18333802 27500703 31012656 36667604 55001406 73335208 110002812 146670416 220005624 440011248 925857001 1851714002 2777571003 3703428004 5555142006 7406856008 11110284012 14813712016 22220568024 44441136048