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44332240420 = 225133716132857
BaseRepresentation
bin101001010010011010…
…000100111000100100
311020102120221011010101
4221102122010320210
51211243023143140
632211013433444
73126410553226
oct512232047044
9136376834111
1044332240420
111788a437426
12871293b884
13424677c730
142207ac8416
151246ed899a
hexa52684e24

44332240420 has 96 divisors (see below), whose sum is σ = 103068671328. Its totient is φ = 15910981632.

The previous prime is 44332240397. The next prime is 44332240427. The reversal of 44332240420 is 2404223344.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3377004544 + 40955235876 = 58112^2 + 202374^2 .

It is not an unprimeable number, because it can be changed into a prime (44332240427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15515632 + ... + 15518488.

It is an arithmetic number, because the mean of its divisors is an integer number (1073631993).

Almost surely, 244332240420 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 44332240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51534335664).

44332240420 is an abundant number, since it is smaller than the sum of its proper divisors (58736430908).

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

44332240420 is a wasteful number, since it uses less digits than its factorization.

44332240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4529 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 44332240420 its reverse (2404223344), we get a palindrome (46736463764).

The spelling of 44332240420 in words is "forty-four billion, three hundred thirty-two million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1613 1924 2405 2857 3226 4810 5714 6452 8065 9620 11428 14285 16130 20969 28570 32260 37141 41938 57140 59681 74282 83876 104845 105709 119362 148564 185705 209690 211418 238724 298405 371410 419380 422836 528545 596810 742820 775853 1057090 1193620 1374217 1551706 2114180 2748434 3103412 3879265 4608341 5496868 6871085 7758530 9216682 13742170 15517060 18433364 23041705 27484340 46083410 59908433 92166820 119816866 170508617 239633732 299542165 341017234 599084330 682034468 852543085 1198168660 1705086170 2216612021 3410172340 4433224042 8866448084 11083060105 22166120210 44332240420