Search a number
-
+
32142444444 = 223211434434261
BaseRepresentation
bin11101111011110101…
…101100011110011100
310001222001200100122100
4131323311230132130
51011311431210234
622433244045100
72215343161365
oct357365543634
9101861610570
1032142444444
11126a4632280
126290533790
1330531c42c6
1417acbc2b6c
15c81c77399
hex77bd6c79c

32142444444 has 144 divisors (see below), whose sum is σ = 90922575744. Its totient is φ = 9489916800.

The previous prime is 32142444431. The next prime is 32142444469. The reversal of 32142444444 is 44444424123.

It is a happy number.

32142444444 is a `hidden beast` number, since 32 + 142 + 4 + 44 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 32142444399 and 32142444408.

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 47 ways as a sum of consecutive naturals, for example, 7541274 + ... + 7545534.

It is an arithmetic number, because the mean of its divisors is an integer number (631406776).

Almost surely, 232142444444 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 32142444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45461287872).

32142444444 is an abundant number, since it is smaller than the sum of its proper divisors (58780131300).

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

32142444444 is a wasteful number, since it uses less digits than its factorization.

32142444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4763 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 32142444444 its reverse (44444424123), we get a palindrome (76586868567).

The spelling of 32142444444 in words is "thirty-two billion, one hundred forty-two million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 443 473 516 774 886 946 1329 1419 1548 1772 1892 2658 2838 3987 4257 4261 4873 5316 5676 7974 8514 8522 9746 12783 14619 15948 17028 17044 19049 19492 25566 29238 38098 38349 43857 46871 51132 57147 58476 76196 76698 87714 93742 114294 140613 153396 171441 175428 183223 187484 209539 228588 281226 342882 366446 419078 421839 549669 562452 628617 685764 732892 838156 843678 1099338 1257234 1649007 1687356 1885851 1887623 2015453 2198676 2514468 3298014 3771702 3775246 4030906 5662869 6046359 6596028 7543404 7550492 8061812 11325738 12092718 16988607 18139077 20763853 22651476 24185436 33977214 36278154 41527706 62291559 67954428 72556308 81167789 83055412 124583118 162335578 186874677 243503367 249166236 324671156 373749354 487006734 730510101 747498708 892845679 974013468 1461020202 1785691358 2678537037 2922040404 3571382716 5357074074 8035611111 10714148148 16071222222 32142444444