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41112414242312 = 23727313991026943
BaseRepresentation
bin10010101100100001110101…
…10110001100011000001000
312101120022022211120122000112
421112100322312030120020
520342041211021223222
6223234440554053452
711442162644065400
oct1126207266143010
9171508284518015
1041112414242312
111211074a050056
12473ba4041a288
1319c2b6529463a
14a21bcc5d1800
154b46654b6be2
hex25643ad8c608

41112414242312 has 96 divisors (see below), whose sum is σ = 90964645632000. Its totient is φ = 17365802823936.

The previous prime is 41112414242261. The next prime is 41112414242329. The reversal of 41112414242312 is 21324241421114.

It is a happy number.

It is a super-2 number, since 2×411124142423122 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39520313 + ... + 40547255.

It is an arithmetic number, because the mean of its divisors is an integer number (947548392000).

Almost surely, 241112414242312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41112414242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45482322816000).

41112414242312 is an abundant number, since it is smaller than the sum of its proper divisors (49852231389688).

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

41112414242312 is a wasteful number, since it uses less digits than its factorization.

41112414242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028435 (or 1028424 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

Adding to 41112414242312 its reverse (21324241421114), we get a palindrome (62436655663426).

The spelling of 41112414242312 in words is "forty-one trillion, one hundred twelve billion, four hundred fourteen million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 392 511 584 1022 1399 2044 2798 3577 4088 5596 7154 9793 11192 14308 19586 28616 39172 68551 78344 102127 137102 204254 274204 408508 548408 714889 817016 1026943 1429778 2053886 2859556 4107772 5004223 5719112 7188601 8215544 10008446 14377202 20016892 28754404 40033784 50320207 57508808 74966839 100640414 149933678 201280828 299867356 402561656 524767873 599734712 1049535746 1436693257 2099071492 2873386514 3673375111 4198142984 5746773028 7346750222 10056852799 11493546056 14693500444 20113705598 29387000888 40227411196 70397969593 80454822392 104878607761 140795939186 209757215522 281591878372 419514431044 563183756744 734150254327 839028862088 1468300508654 2936601017308 5139051780289 5873202034616 10278103560578 20556207121156 41112414242312