Search a number
-
+
441254224242 = 233131794797331
BaseRepresentation
bin1100110101111001100…
…11010010000101110010
31120011221202200002201000
412122330303102011302
524212142040133432
6534413121222430
743610456010156
oct6327463220562
91504852602630
10441254224242
111601535626a7
1271627191a16
13327c14bc110
14174dd177066
15b72857c57c
hex66bccd2172

441254224242 has 128 divisors (see below), whose sum is σ = 1064254464000. Its totient is φ = 134711795520.

The previous prime is 441254224219. The next prime is 441254224291. The reversal of 441254224242 is 242422452144.

441254224242 is a `hidden beast` number, since 44 + 12 + 542 + 24 + 2 + 42 = 666.

441254224242 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4412542242422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 441254224197 and 441254224206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60186517 + ... + 60193847.

It is an arithmetic number, because the mean of its divisors is an integer number (8314488000).

Almost surely, 2441254224242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441254224242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532127232000).

441254224242 is an abundant number, since it is smaller than the sum of its proper divisors (623000239758).

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

441254224242 is a wasteful number, since it uses less digits than its factorization.

441254224242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8013 (or 8007 counting only the distinct ones).

The product of its digits is 163840, while the sum is 36.

Adding to 441254224242 its reverse (242422452144), we get a palindrome (683676676386).

The spelling of 441254224242 in words is "four hundred forty-one billion, two hundred fifty-four million, two hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 179 234 351 358 479 537 702 958 1074 1437 1611 2327 2874 3222 4311 4654 4833 6227 6981 7331 8622 9666 12454 12933 13962 14662 18681 20943 21993 25866 37362 41886 43986 56043 62829 65979 85741 95303 112086 125658 131958 168129 171482 190606 197937 257223 285909 336258 395874 514446 571818 771669 857727 1114633 1312249 1543338 1715454 2229266 2315007 2573181 2624498 3343899 3511549 3936747 4630014 5146362 6687798 7023098 7873494 10031697 10534647 11810241 17059237 20063394 21069294 23620482 30095091 31603941 34118474 35430723 45650137 51177711 60190182 63207882 70861446 91300274 94811823 102355422 136950411 153533133 189623646 273900822 307066266 410851233 460599399 628567271 821702466 921198798 1232553699 1257134542 1885701813 2465107398 3771403626 5657105439 8171374523 11314210878 16342749046 16971316317 24514123569 33942632634 49028247138 73542370707 147084741414 220627112121 441254224242