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244361521041 = 311311117321379
BaseRepresentation
bin1110001110010100010…
…1001110011110010001
3212100201222022110002020
43203211011032132101
513000423022133131
6304131431242053
723440335441411
oct3434505163621
9770658273066
10244361521041
11946a6787590
123b438219329
131a073b81301
14bb81a2c641
156552ce3996
hex38e514e791

244361521041 has 32 divisors (see below), whose sum is σ = 366950584320. Its totient is φ = 143301009600.

The previous prime is 244361521037. The next prime is 244361521043. The reversal of 244361521041 is 140125163442.

It is a happy number.

244361521041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 244361521041 - 22 = 244361521037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 244361520993 and 244361521011.

It is not an unprimeable number, because it can be changed into a prime (244361521043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11419290 + ... + 11440668.

It is an arithmetic number, because the mean of its divisors is an integer number (11467205760).

Almost surely, 2244361521041 is an apocalyptic number.

It is an amenable number.

244361521041 is a deficient number, since it is larger than the sum of its proper divisors (122589063279).

244361521041 is a wasteful number, since it uses less digits than its factorization.

244361521041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32597.

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 244361521041 its reverse (140125163442), we get a palindrome (384486684483).

The spelling of 244361521041 in words is "two hundred forty-four billion, three hundred sixty-one million, five hundred twenty-one thousand, forty-one".

Divisors: 1 3 11 31 33 93 341 1023 11173 21379 33519 64137 122903 235169 346363 368709 662749 705507 1039089 1988247 3809993 7290239 11429979 21870717 238867567 716602701 2627543237 7404894577 7882629711 22214683731 81453840347 244361521041