Search a number
-
+
23442441012 = 223472353213
BaseRepresentation
bin10101110101010001…
…110100001100110100
32020111202002101120000
4111311101310030310
5341002231103022
614434100511300
71456632314034
oct256521641464
966452071500
1023442441012
119a3a7129a1
1246629ab530
132297940393
1411c557d8c4
159230a86ac
hex575474334

23442441012 has 30 divisors (see below), whose sum is σ = 61283172258. Its totient is φ = 7814146896.

The previous prime is 23442441007. The next prime is 23442441047. The reversal of 23442441012 is 21014424432.

23442441012 is a `hidden beast` number, since 234 + 4 + 2 + 4 + 410 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21247143696 + 2195297316 = 145764^2 + 46854^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 9 ways as a sum of consecutive naturals, for example, 36176283 + ... + 36176930.

Almost surely, 223442441012 is an apocalyptic number.

It is an amenable number.

23442441012 is an abundant number, since it is smaller than the sum of its proper divisors (37840731246).

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

23442441012 is a wasteful number, since it uses less digits than its factorization.

23442441012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72353229 (or 72353218 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 23442441012 its reverse (21014424432), we get a palindrome (44456865444).

The spelling of 23442441012 in words is "twenty-three billion, four hundred forty-two million, four hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 72353213 144706426 217059639 289412852 434119278 651178917 868238556 1302357834 1953536751 2604715668 3907073502 5860610253 7814147004 11721220506 23442441012