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20441213442 = 23213314436361
BaseRepresentation
bin10011000010011001…
…000010101000000010
31221202120202020022100
4103002121002220002
5313330422312232
613220210051230
71322360306316
oct230231025002
957676666270
1020441213442
11873a594231
123b65879b16
131c09c19190
14dbcb37b46
157e9870c7c
hex4c2642a02

20441213442 has 96 divisors (see below), whose sum is σ = 49353647616. Its totient is φ = 6072019200.

The previous prime is 20441213437. The next prime is 20441213459. The reversal of 20441213442 is 24431214402.

20441213442 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 1 + 213 + 442 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3210342 + ... + 3216702.

It is an arithmetic number, because the mean of its divisors is an integer number (514100496).

Almost surely, 220441213442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20441213442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24676823808).

20441213442 is an abundant number, since it is smaller than the sum of its proper divisors (28912434174).

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

20441213442 is a wasteful number, since it uses less digits than its factorization.

20441213442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20441213442 its reverse (24431214402), we get a palindrome (44872427844).

The spelling of 20441213442 in words is "twenty billion, four hundred forty-one million, two hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 443 558 806 886 1209 1329 2418 2658 3627 3987 5759 6361 7254 7974 11518 12722 13733 17277 19083 27466 34554 38166 41199 51831 57249 82398 82693 103662 114498 123597 165386 178529 197191 247194 248079 357058 394382 496158 535587 591573 744237 1071174 1183146 1488474 1606761 1774719 2563483 2817923 3213522 3549438 5126966 5635846 7690449 8453769 15380898 16907538 23071347 25361307 36632999 46142694 50722614 73265998 87355613 109898997 174711226 219797994 262066839 329696991 524133678 659393982 786200517 1135622969 1572401034 2271245938 3406868907 6813737814 10220606721 20441213442