Search a number
-
+
44445350452344 = 23319592213746497
BaseRepresentation
bin10100001101100001111010…
…10100110101110001111000
312211100221012220001202112120
422012300331110311301320
521311143034203433334
6234305525004041240
712235033134326112
oct1206607524656170
9184327186052476
1044445350452344
1113186192708116
124b99981b33220
131ba52423c66ca
14ad92489d43b2
155211d3b86949
hex286c3d535c78

44445350452344 has 128 divisors (see below), whose sum is σ = 118997753184000. Its totient is φ = 13791232917504.

The previous prime is 44445350452313. The next prime is 44445350452457. The reversal of 44445350452344 is 44325405354444.

44445350452344 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59165304 + ... + 59911800.

It is an arithmetic number, because the mean of its divisors is an integer number (929669946750).

Almost surely, 244445350452344 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 44445350452344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59498876592000).

44445350452344 is an abundant number, since it is smaller than the sum of its proper divisors (74552402731656).

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

44445350452344 is a wasteful number, since it uses less digits than its factorization.

44445350452344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748797 (or 748793 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 51.

The spelling of 44445350452344 in words is "forty-four trillion, four hundred forty-five billion, three hundred fifty million, four hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 59 76 114 118 152 177 228 236 354 456 472 708 1121 1416 2213 2242 3363 4426 4484 6639 6726 8852 8968 13278 13452 17704 26556 26904 42047 53112 84094 126141 130567 168188 252282 261134 336376 391701 504564 522268 746497 783402 1009128 1044536 1492994 1566804 2239491 2480773 2985988 3133608 4478982 4961546 5971976 7442319 8957964 9923092 14183443 14884638 17915928 19846184 28366886 29769276 42550329 44043323 56733772 59538552 85100658 88086646 113467544 132129969 170201316 176173292 264259938 340402632 352346584 528519876 836823137 1057039752 1651997861 1673646274 2510469411 3303995722 3347292548 4955993583 5020938822 6607991444 6694585096 9911987166 10041877644 13215982888 19823974332 20083755288 31387959359 39647948664 62775918718 94163878077 97467873799 125551837436 188327756154 194935747598 251103674872 292403621397 376655512308 389871495196 584807242794 753311024616 779742990392 1169614485588 1851889602181 2339228971176 3703779204362 5555668806543 7407558408724 11111337613086 14815116817448 22222675226172 44445350452344