Search a number
-
+
244433014232000 = 26531113121203419
BaseRepresentation
bin110111100100111101111110…
…111111000001001111000000
31012001110120100000220220011012
4313210331332333001033000
5224014242303120411000
62223510550533340052
7102325462646543636
oct6744757677011700
91161416300826135
10244433014232000
117097a5061a6540
12234b8909a97628
13a650c1b980909
14445089a0b9356
151d3d3e4bde735
hexde4f7efc13c0

244433014232000 has 224 divisors, whose sum is σ = 665410136751360. Its totient is φ = 88206218880000.

The previous prime is 244433014231979. The next prime is 244433014232003. The reversal of 244433014232000 is 232410334442.

It is a super-2 number, since 2×2444330142320002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244433014232003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 926291 + ... + 22129709.

It is an arithmetic number, because the mean of its divisors is an integer number (2970580967640).

Almost surely, 2244433014232000 is an apocalyptic number.

244433014232000 is a gapful number since it is divisible by the number (20) 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 244433014232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332705068375680).

244433014232000 is an abundant number, since it is smaller than the sum of its proper divisors (420977122519360).

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

244433014232000 is a wasteful number, since it uses less digits than its factorization.

244433014232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21203588 (or 21203568 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 244433014232000 its reverse (232410334442), we get a palindrome (244665424566442).

The spelling of 244433014232000 in words is "two hundred forty-four trillion, four hundred thirty-three billion, fourteen million, two hundred thirty-two thousand".