Search a number
-
+
4144333434012 = 2232130188486067
BaseRepresentation
bin111100010011101101100…
…001011010110010011100
3112200012020201111211121100
4330103231201122302130
51020400043324342022
612451514104233100
7605263305645612
oct74235541326234
915605221454540
104144333434012
1113586691a9932
1256b248a6b790
13240a693b4c65
141048302b96b2
1572c0c3671ac
hex3c4ed85ac9c

4144333434012 has 36 divisors (see below), whose sum is σ = 10484006308776. Its totient is φ = 1380382629600.

The previous prime is 4144333434011. The next prime is 4144333434019. The reversal of 4144333434012 is 2104343334414.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×41443334340122 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144333434011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44196198 + ... + 44289869.

It is an arithmetic number, because the mean of its divisors is an integer number (291222397466).

Almost surely, 24144333434012 is an apocalyptic number.

It is an amenable number.

4144333434012 is an abundant number, since it is smaller than the sum of its proper divisors (6339672874764).

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

4144333434012 is a wasteful number, since it uses less digits than its factorization.

4144333434012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88487378 (or 88487373 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4144333434012 its reverse (2104343334414), we get a palindrome (6248676768426).

The spelling of 4144333434012 in words is "four trillion, one hundred forty-four billion, three hundred thirty-three million, four hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1301 2602 3903 5204 7806 11709 15612 23418 46836 88486067 176972134 265458201 353944268 530916402 796374603 1061832804 1592749206 3185498412 115120373167 230240746334 345361119501 460481492668 690722239002 1036083358503 1381444478004 2072166717006 4144333434012