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244412313442141 = 131918145715537703
BaseRepresentation
bin110111100100101010101101…
…000111110001011101011101
31012001101120220100201210221111
4313210222231013301131131
5224013422404220122031
62223453244451502021
7102324130654665625
oct6744525507613535
91161346810653844
10244412313442141
1170971753138749
12234b48b12b7911
13a64bca004b230
14444d894ad1885
151d3cad26971b1
hexde4aad1f175d

244412313442141 has 64 divisors (see below), whose sum is σ = 279423022394880. Its totient is φ = 211927019397120.

The previous prime is 244412313442097. The next prime is 244412313442151. The reversal of 244412313442141 is 141244313214442.

It is a happy number.

It is not a de Polignac number, because 244412313442141 - 215 = 244412313409373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 244412313442094 and 244412313442103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244412313442151) 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, 31729492896 + ... + 31729500598.

It is an arithmetic number, because the mean of its divisors is an integer number (4365984724920).

Almost surely, 2244412313442141 is an apocalyptic number.

It is an amenable number.

244412313442141 is a deficient number, since it is larger than the sum of its proper divisors (35010708952739).

244412313442141 is a wasteful number, since it uses less digits than its factorization.

244412313442141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9926.

The product of its digits is 294912, while the sum is 40.

Adding to 244412313442141 its reverse (141244313214442), we get a palindrome (385656626656583).

The spelling of 244412313442141 in words is "two hundred forty-four trillion, four hundred twelve billion, three hundred thirteen million, four hundred forty-two thousand, one hundred forty-one".

Divisors: 1 13 19 181 247 457 1553 2353 3439 5941 7703 8683 20189 29507 44707 82717 100139 112879 146357 281093 383591 709721 1075321 1394243 1571623 1902641 3520271 3654209 5340767 9226373 11962759 13484699 18125159 20431099 26490617 45763523 66885149 69429971 128459501 155515867 175301087 227292421 344378021 637169051 869506937 1669973513 2165259379 2440730519 2954801473 5466980863 8283197663 12106211969 28148371927 31729496747 41139928201 71070751219 103872636397 157380755597 534819066613 989523536203 1350344273161 12863805970639 18800947187857 244412313442141