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41112224412 = 22372612694261
BaseRepresentation
bin100110010010011110…
…101100001010011100
310221010011220101120020
4212102132230022130
51133144212140122
630515305352140
72653541066400
oct462236541234
9127104811506
1041112224412
1116487862776
127b74498650
133b5262340c
141dc01ad100
151109484c5c
hex9927ac29c

41112224412 has 144 divisors (see below), whose sum is σ = 113868024480. Its totient is φ = 11508134400.

The previous prime is 41112224399. The next prime is 41112224423. The reversal of 41112224412 is 21442221114.

It is a happy number.

It is a super-2 number, since 2×411122244122 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9646362 + ... + 9650622.

It is an arithmetic number, because the mean of its divisors is an integer number (790750170).

Almost surely, 241112224412 is an apocalyptic number.

41112224412 is a gapful number since it is divisible by the number (42) 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 41112224412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56934012240).

41112224412 is an abundant number, since it is smaller than the sum of its proper divisors (72755800068).

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

41112224412 is a wasteful number, since it uses less digits than its factorization.

41112224412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4603 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 41112224412 its reverse (21442221114), we get a palindrome (62554445526).

It can be divided in two parts, 411122 and 24412, that added together give a palindrome (435534).

The spelling of 41112224412 in words is "forty-one billion, one hundred twelve million, two hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 269 294 366 427 538 588 732 807 854 1076 1281 1614 1708 1883 2562 2989 3228 3766 4261 5124 5649 5978 7532 8522 8967 11298 11956 12783 13181 16409 17044 17934 22596 25566 26362 29827 32818 35868 39543 49227 51132 52724 59654 65636 79086 89481 98454 114863 119308 158172 178962 196908 208789 229726 259921 344589 357924 417578 459452 519842 626367 689178 779763 804041 835156 1039684 1146209 1252734 1378356 1559526 1608082 1819447 2292418 2412123 2505468 3119052 3216164 3438627 3638894 4584836 4824246 5458341 6877254 7277788 8023463 9648492 10916682 12736129 13754508 16046926 21833364 24070389 25472258 32093852 38208387 48140778 50944516 56164241 69918749 76416774 96281556 112328482 139837498 152833548 168492723 209756247 224656964 279674996 336985446 419512494 489431243 673970892 839024988 978862486 1468293729 1957724972 2936587458 3426018701 5873174916 6852037402 10278056103 13704074804 20556112206 41112224412