Search a number
-
+
42224233131312 = 2432621335624389
BaseRepresentation
bin10011001100111000110000…
…11010101010110100110000
312112111121010101222011111220
421212130120122222310300
521013300212140200222
6225445313411305040
711615412600523311
oct1146343032526460
9175447111864456
1042224233131312
11124aa218901301
12489b40a2ab180
131a7396083194b
14a5d941610608
154d3538860b5c
hex2667186aad30

42224233131312 has 40 divisors (see below), whose sum is σ = 109120886671920. Its totient is φ = 14069374344960.

The previous prime is 42224233131287. The next prime is 42224233131331. The reversal of 42224233131312 is 21313133242224.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167686387 + ... + 167938002.

It is an arithmetic number, because the mean of its divisors is an integer number (2728022166798).

Almost surely, 242224233131312 is an apocalyptic number.

It is an amenable number.

42224233131312 is an abundant number, since it is smaller than the sum of its proper divisors (66896653540608).

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

42224233131312 is a wasteful number, since it uses less digits than its factorization.

42224233131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335627021 (or 335627015 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 42224233131312 its reverse (21313133242224), we get a palindrome (63537366373536).

The spelling of 42224233131312 in words is "forty-two trillion, two hundred twenty-four billion, two hundred thirty-three million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 2621 5242 7863 10484 15726 20968 31452 41936 62904 125808 335624389 671248778 1006873167 1342497556 2013746334 2684995112 4027492668 5369990224 8054985336 16109970672 879671523569 1759343047138 2639014570707 3518686094276 5278029141414 7037372188552 10556058282828 14074744377104 21112116565656 42224233131312