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244024230414420 = 2232529376072081479
BaseRepresentation
bin110111011111000001010001…
…100100100000100001010100
31012000000111012012001100200100
4313133001101210200201110
5223441043110441230140
62222555103413414100
7102254111625455211
oct6737012144404124
91160014165040610
10244024230414420
1170832105408a75
122345164503a330
13a6215035c41a1
144438b9b4d6b08
151d3296c0bd530
hexddf051920854

244024230414420 has 288 divisors, whose sum is σ = 787722618009600. Its totient is φ = 61030400320512.

The previous prime is 244024230414347. The next prime is 244024230414589. The reversal of 244024230414420 is 24414032420442.

244024230414420 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 2 + 4 + 230 + 414 + 4 + 2 + 0 = 666.

It is a super-3 number, since 3×2440242304144203 (a number of 44 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116195241 + ... + 118276719.

It is an arithmetic number, because the mean of its divisors is an integer number (2735147979200).

Almost surely, 2244024230414420 is an apocalyptic number.

244024230414420 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 244024230414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393861309004800).

244024230414420 is an abundant number, since it is smaller than the sum of its proper divisors (543698387595180).

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

244024230414420 is a wasteful number, since it uses less digits than its factorization.

244024230414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082167 (or 2082162 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 244024230414420 its reverse (24414032420442), we get a palindrome (268438262834862).

The spelling of 244024230414420 in words is "two hundred forty-four trillion, twenty-four billion, two hundred thirty million, four hundred fourteen thousand, four hundred twenty".