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242441133132 = 223115946036763
BaseRepresentation
bin1110000111001010011…
…1100001110001001100
3212011210010202122010010
43201302213201301030
512433004412230012
6303213110513220
723341626426012
oct3416247416114
9764703678103
10242441133132
1193900776740
123aba1065810
1319b2905c8c3
14ba3c9788b2
15648e409c3c
hex38729e1c4c

242441133132 has 96 divisors (see below), whose sum is σ = 627811752960. Its totient is φ = 72195439680.

The previous prime is 242441133119. The next prime is 242441133161. The reversal of 242441133132 is 231331144242.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 242441133132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35844783 + ... + 35851545.

It is an arithmetic number, because the mean of its divisors is an integer number (6539705760).

Almost surely, 2242441133132 is an apocalyptic number.

242441133132 is a gapful number since it is divisible by the number (22) 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 242441133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313905876480).

242441133132 is an abundant number, since it is smaller than the sum of its proper divisors (385370619828).

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

242441133132 is a wasteful number, since it uses less digits than its factorization.

242441133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11443 (or 11441 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 242441133132 its reverse (231331144242), we get a palindrome (473772277374).

It can be divided in two parts, 242441 and 133132, that added together give a palindrome (375573).

The spelling of 242441133132 in words is "two hundred forty-two billion, four hundred forty-one million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3894 4603 6763 7788 9206 13526 13809 18412 20289 27052 27618 40578 50633 55236 74393 81156 101266 148786 151899 202532 223179 271577 297572 303798 399017 446358 543154 607596 798034 814731 892716 1086308 1197051 1596068 1629462 2394102 2987347 3258924 4389187 4788204 5974694 8778374 8962041 11949388 13167561 17556748 17924082 26335122 31130089 35848164 52670244 62260178 93390267 124520356 186780534 342430979 373561068 684861958 1027292937 1369723916 1836675251 2054585874 3673350502 4109171748 5510025753 7346701004 11020051506 20203427761 22040103012 40406855522 60610283283 80813711044 121220566566 242441133132