Search a number
-
+
44441774500 = 22531993131427
BaseRepresentation
bin101001011000111011…
…111010100110100100
311020201020001001122011
4221120323322212210
51212004043241000
632225525244004
73132210564454
oct513073724644
9136636031564
1044441774500
111793624aa62
128743563604
1342633809b6
14221847bd64
1512519232ba
hexa58efa9a4

44441774500 has 96 divisors (see below), whose sum is σ = 97928812800. Its totient is φ = 17618515200.

The previous prime is 44441774483. The next prime is 44441774519. The reversal of 44441774500 is 547714444.

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 31 ways as a sum of consecutive naturals, for example, 31142787 + ... + 31144213.

It is an arithmetic number, because the mean of its divisors is an integer number (1020091800).

Almost surely, 244441774500 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 44441774500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48964406400).

44441774500 is an abundant number, since it is smaller than the sum of its proper divisors (53487038300).

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

44441774500 is a wasteful number, since it uses less digits than its factorization.

44441774500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 40.

The spelling of 44441774500 in words is "forty-four billion, four hundred forty-one million, seven hundred seventy-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 199 250 313 398 500 626 796 995 1252 1427 1565 1990 2854 3130 3980 4975 5708 6260 7135 7825 9950 14270 15650 19900 24875 28540 31300 35675 39125 49750 62287 71350 78250 99500 124574 142700 156500 178375 249148 283973 311435 356750 446651 567946 622870 713500 893302 1135892 1245740 1419865 1557175 1786604 2233255 2839730 3114350 4466510 5679460 6228700 7099325 7785875 8933020 11166275 14198650 15571750 22332550 28397300 31143500 35496625 44665100 55831375 70993250 88883549 111662750 141986500 177767098 223325500 355534196 444417745 888835490 1777670980 2222088725 4444177450 8888354900 11110443625 22220887250 44441774500