Search a number
-
+
44524244640 = 2535145963577
BaseRepresentation
bin101001011101110110…
…100000111010100000
311020220222012222101210
4221131312200322200
51212141201312030
632242033030120
73134231556261
oct513566407240
9136828188353
1044524244640
1117978858aa7
1287670b5340
1342774974b5
1422253c8968
151258cb3bb0
hexa5dda0ea0

44524244640 has 96 divisors (see below), whose sum is σ = 140349706560. Its totient is φ = 11864807424.

The previous prime is 44524244617. The next prime is 44524244651. The reversal of 44524244640 is 4644242544.

It is a tau number, because it is divible by the number of its divisors (96).

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, 668532 + ... + 732108.

It is an arithmetic number, because the mean of its divisors is an integer number (1461976110).

Almost surely, 244524244640 is an apocalyptic number.

44524244640 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 44524244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70174853280).

44524244640 is an abundant number, since it is smaller than the sum of its proper divisors (95825461920).

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

44524244640 is a wasteful number, since it uses less digits than its factorization.

44524244640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65054 (or 65046 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 39.

The spelling of 44524244640 in words is "forty-four billion, five hundred twenty-four million, two hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1459 2918 4377 5836 7295 8754 11672 14590 17508 21885 23344 29180 35016 43770 46688 58360 63577 70032 87540 116720 127154 140064 175080 190731 233440 254308 317885 350160 381462 508616 635770 700320 762924 953655 1017232 1271540 1525848 1907310 2034464 2543080 3051696 3814620 5086160 6103392 7629240 10172320 15258480 30516960 92758843 185517686 278276529 371035372 463794215 556553058 742070744 927588430 1113106116 1391382645 1484141488 1855176860 2226212232 2782765290 2968282976 3710353720 4452424464 5565530580 7420707440 8904848928 11131061160 14841414880 22262122320 44524244640