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12441124234242 = 23311613244713963
BaseRepresentation
bin1011010100001010110011…
…0010100110010000000010
31122001100201100011000202000
42311002230302212100002
53112313410300443432
642243212405204430
72422561441103124
oct265025462462002
948040640130660
1012441124234242
113a67284322050
12148b20b400716
136c3267c97932
14310221799214
1516894ed7257c
hexb50acca6402

12441124234242 has 128 divisors (see below), whose sum is σ = 30224012267520. Its totient is φ = 3762079888320.

The previous prime is 12441124234223. The next prime is 12441124234271. The reversal of 12441124234242 is 24243242114421.

12441124234242 is a `hidden beast` number, since 1 + 2 + 4 + 411 + 2 + 4 + 234 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12441124234197 and 12441124234206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 890999553 + ... + 891013515.

It is an arithmetic number, because the mean of its divisors is an integer number (236125095840).

Almost surely, 212441124234242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12441124234242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15112006133760).

12441124234242 is an abundant number, since it is smaller than the sum of its proper divisors (17782888033278).

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

12441124234242 is a wasteful number, since it uses less digits than its factorization.

12441124234242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17045 (or 17039 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 12441124234242 its reverse (24243242114421), we get a palindrome (36684366348663).

The spelling of 12441124234242 in words is "twelve trillion, four hundred forty-one billion, one hundred twenty-four million, two hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 613 1226 1839 2447 3678 4894 5517 6743 7341 11034 13486 13963 14682 16551 20229 22023 26917 27926 33102 40458 41889 44046 53834 60687 66069 80751 83778 121374 125667 132138 153593 161502 182061 242253 251334 307186 364122 377001 460779 484506 726759 754002 921558 1382337 1453518 1500011 2764674 3000022 4147011 4500033 8294022 8559319 9000066 13500099 16500121 17118638 25677957 27000198 33000242 34167461 40500297 49500363 51355914 68334922 77033871 81000594 94152509 99000726 102502383 148501089 154067742 188305018 205004766 231101613 282457527 297002178 307507149 375842071 445503267 462203226 564915054 615014298 751684142 847372581 891006534 922521447 1127526213 1694745162 1845042894 2255052426 2542117743 3382578639 5084235486 6765157278 10147735917 20295471834 20944653593 41889307186 62833960779 125667921558 188501882337 230391189523 377003764674 460782379046 565505647011 691173568569 1131011294022 1382347137138 2073520705707 4147041411414 6220562117121 12441124234242