Search a number
-
+
44316355040 = 2553134925601
BaseRepresentation
bin101001010001011101…
…011110100111100000
311020101111001002110222
4221101131132213200
51211224441330130
632205245142212
73126125542166
oct512135364740
9136344032428
1044316355040
1117881477511
12870955a968
1342433aa0b9
142205951236
1512458ebce5
hexa5175e9e0

44316355040 has 96 divisors (see below), whose sum is σ = 108388627200. Its totient is φ = 17104896000.

The previous prime is 44316355019. The next prime is 44316355051. The reversal of 44316355040 is 4055361344.

44316355040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1718240 + ... + 1743840.

It is an arithmetic number, because the mean of its divisors is an integer number (1129048200).

Almost surely, 244316355040 is an apocalyptic number.

44316355040 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 44316355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54194313600).

44316355040 is an abundant number, since it is smaller than the sum of its proper divisors (64072272160).

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

44316355040 is a wasteful number, since it uses less digits than its factorization.

44316355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25996 (or 25988 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 44316355040 in words is "forty-four billion, three hundred sixteen million, three hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 349 496 620 698 992 1240 1396 1745 2480 2792 3490 4960 5584 6980 10819 11168 13960 21638 25601 27920 43276 51202 54095 55840 86552 102404 108190 128005 173104 204808 216380 256010 346208 409616 432760 512020 793631 819232 865520 1024040 1587262 1731040 2048080 3174524 3968155 4096160 6349048 7936310 8934749 12698096 15872620 17869498 25396192 31745240 35738996 44673745 63490480 71477992 89347490 126980960 142955984 178694980 276977219 285911968 357389960 553954438 714779920 1107908876 1384886095 1429559840 2215817752 2769772190 4431635504 5539544380 8863271008 11079088760 22158177520 44316355040