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244430164000 = 2553113311481
BaseRepresentation
bin1110001110100100101…
…1000101000000100000
3212100220202110212112001
43203221023011000200
513001043110222000
6304142322413344
723442131053561
oct3435113050040
9770822425461
10244430164000
1194731501000
123b457201254
131a085166249
14bb8abba168
156558d5246a
hex38e92c5020

244430164000 has 384 divisors, whose sum is σ = 682345617408. Its totient is φ = 85958400000.

The previous prime is 244430163961. The next prime is 244430164007. The reversal of 244430164000 is 461034442.

It is a super-2 number, since 2×2444301640002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 244430164000.

It is not an unprimeable number, because it can be changed into a prime (244430164007) 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, 165043260 + ... + 165044740.

It is an arithmetic number, because the mean of its divisors is an integer number (1776941712).

Almost surely, 2244430164000 is an apocalyptic number.

244430164000 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 244430164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341172808704).

244430164000 is an abundant number, since it is smaller than the sum of its proper divisors (437915453408).

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

244430164000 is a wasteful number, since it uses less digits than its factorization.

244430164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 244430164000 its reverse (461034442), we get a palindrome (244891198442).

The spelling of 244430164000 in words is "two hundred forty-four billion, four hundred thirty million, one hundred sixty-four thousand".