Search a number
-
+
44523040050 = 232522310514093
BaseRepresentation
bin101001011101110001…
…111010110100110010
311020220212221210000100
4221131301322310302
51212140344240200
632241551133230
73134215411326
oct513561726462
9136825853010
1044523040050
1117978105a75
128766814216
134277165118
142225193986
151258b26d00
hexa5dc7ad32

44523040050 has 144 divisors (see below), whose sum is σ = 124968662208. Its totient is φ = 11343024000.

The previous prime is 44523040033. The next prime is 44523040139. The reversal of 44523040050 is 5004032544.

It is a junction number, because it is equal to n+sod(n) for n = 44523039996 and 44523040023.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10875804 + ... + 10879896.

It is an arithmetic number, because the mean of its divisors is an integer number (867837932).

Almost surely, 244523040050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44523040050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62484331104).

44523040050 is an abundant number, since it is smaller than the sum of its proper divisors (80445622158).

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

44523040050 is a wasteful number, since it uses less digits than its factorization.

44523040050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 44523040050 its reverse (5004032544), we get a palindrome (49527072594).

The spelling of 44523040050 in words is "forty-four billion, five hundred twenty-three million, forty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1051 1150 1725 2070 2102 3153 3450 4093 5175 5255 6306 8186 9459 10350 10510 12279 15765 18918 20465 24173 24558 26275 31530 36837 40930 47295 48346 52550 61395 72519 73674 78825 94139 94590 102325 120865 122790 145038 157650 184185 188278 204650 217557 236475 241730 282417 306975 362595 368370 435114 470695 472950 564834 604325 613950 725190 847251 920925 941390 1087785 1208650 1412085 1694502 1812975 1841850 2175570 2353475 2824170 3625950 4236255 4301743 4706950 5438925 7060425 8472510 8603486 10877850 12905229 14120850 21181275 21508715 25810458 38715687 42362550 43017430 64526145 77431374 98940089 107543575 129052290 193578435 197880178 215087150 296820267 322630725 387156870 494700445 593640534 645261450 890460801 967892175 989400890 1484101335 1780921602 1935784350 2473502225 2968202670 4452304005 4947004450 7420506675 8904608010 14841013350 22261520025 44523040050