Search a number
-
+
10014244230012 = 223112331151704657
BaseRepresentation
bin1001000110111001111101…
…1110000101001101111100
31022110100111220021002222220
42101232133132011031330
52303033133010330022
633144251424205340
72052335210323551
oct221563736051574
938410456232886
1010014244230012
113211020884940
1211589b2169850
135784542396a9
14268998c1ca28
1512576071a85c
hex91b9f78537c

10014244230012 has 192 divisors, whose sum is σ = 27639009312768. Its totient is φ = 2790437760000.

The previous prime is 10014244229939. The next prime is 10014244230013. The reversal of 10014244230012 is 21003244241001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014244230013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13859188 + ... + 14563844.

It is an arithmetic number, because the mean of its divisors is an integer number (143953173504).

Almost surely, 210014244230012 is an apocalyptic number.

10014244230012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014244230012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819504656384).

10014244230012 is an abundant number, since it is smaller than the sum of its proper divisors (17624765082756).

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

10014244230012 is a wasteful number, since it uses less digits than its factorization.

10014244230012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704880 (or 704878 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10014244230012 its reverse (21003244241001), we get a palindrome (31017488471013).

The spelling of 10014244230012 in words is "ten trillion, fourteen billion, two hundred forty-four million, two hundred thirty thousand, twelve".