Search a number
-
+
42441023232 = 283252335221
BaseRepresentation
bin100111100001101011…
…101001111100000000
311001112210021100212100
4213201223221330000
51143404400220412
631255214230400
73031504513416
oct474153517400
9131483240770
1042441023232
1116aa993aa13
1282854b5400
134004a026ca
1420a88692b6
151185e62edc
hex9e1ae9f00

42441023232 has 108 divisors (see below), whose sum is σ = 122605386904. Its totient is φ = 14119557120.

The previous prime is 42441023227. The next prime is 42441023291. The reversal of 42441023232 is 23232014424.

42441023232 is a `hidden beast` number, since 424 + 4 + 1 + 0 + 2 + 3 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42441023196 and 42441023205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1187382 + ... + 1222602.

Almost surely, 242441023232 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 42441023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61302693452).

42441023232 is an abundant number, since it is smaller than the sum of its proper divisors (80164363672).

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

42441023232 is a wasteful number, since it uses less digits than its factorization.

42441023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35766 (or 35749 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42441023232 its reverse (23232014424), we get a palindrome (65673037656).

The spelling of 42441023232 in words is "forty-two billion, four hundred forty-one million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 523 576 768 1046 1152 1569 2092 2304 3138 4184 4707 6276 8368 9414 12552 16736 18828 25104 33472 35221 37656 50208 66944 70442 75312 100416 105663 133888 140884 150624 200832 211326 281768 301248 316989 401664 422652 563536 602496 633978 845304 1127072 1204992 1267956 1690608 2254144 2535912 3381216 4508288 5071824 6762432 9016576 10143648 13524864 18420583 20287296 27049728 36841166 40574592 55261749 73682332 81149184 110523498 147364664 165785247 221046996 294729328 331570494 442093992 589458656 663140988 884187984 1178917312 1326281976 1768375968 2357834624 2652563952 3536751936 4715669248 5305127904 7073503872 10610255808 14147007744 21220511616 42441023232