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41331142512 = 24331121141221
BaseRepresentation
bin100110011111100001…
…110010111101110000
310221200102211120202000
4212133201302331300
51134121233030022
630553125454000
72662136625522
oct463741627560
9127612746660
1041331142512
111658a397120
128015871300
133b88aa255a
1420012b7a12
15111d7c96ac
hex99f872f70

41331142512 has 160 divisors (see below), whose sum is σ = 130037272320. Its totient is φ = 12464928000.

The previous prime is 41331142477. The next prime is 41331142513. The reversal of 41331142512 is 21524113314.

41331142512 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 1 + 142 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41331142513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982062 + ... + 1023282.

It is an arithmetic number, because the mean of its divisors is an integer number (812732952).

Almost surely, 241331142512 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 41331142512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65018636160).

41331142512 is an abundant number, since it is smaller than the sum of its proper divisors (88706129808).

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

41331142512 is a wasteful number, since it uses less digits than its factorization.

41331142512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41460 (or 41448 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 41331142512 its reverse (21524113314), we get a palindrome (62855255826).

The spelling of 41331142512 in words is "forty-one billion, three hundred thirty-one million, one hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 211 216 264 297 396 422 432 528 594 633 792 844 1188 1266 1584 1688 1899 2321 2376 2532 3376 3798 4642 4752 5064 5697 6963 7596 9284 10128 11394 13926 15192 18568 20889 22788 27852 30384 37136 41221 41778 45576 55704 62667 82442 83556 91152 111408 123663 125334 164884 167112 247326 250668 329768 334224 370989 453431 494652 501336 659536 741978 906862 989304 1002672 1112967 1360293 1483956 1813724 1978608 2225934 2720586 2967912 3627448 4080879 4451868 5441172 5935824 7254896 8161758 8697631 8903736 10882344 12242637 16323516 17395262 17807472 21764688 24485274 26092893 32647032 34790524 48970548 52185786 65294064 69581048 78278679 95673941 97941096 104371572 139162096 156557358 191347882 195882192 208743144 234836037 287021823 313114716 382695764 417486288 469672074 574043646 626229432 765391528 861065469 939344148 1148087292 1252458864 1530783056 1722130938 1878688296 2296174584 2583196407 3444261876 3757376592 4592349168 5166392814 6888523752 10332785628 13777047504 20665571256 41331142512