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41484661284 = 223117124118367
BaseRepresentation
bin100110101000101011…
…011011001000100100
310222002010201010220110
4212220223123020210
51134430033130114
631020252133020
72666012542233
oct465053331044
9128063633813
1041484661284
1116659012040
128059167170
133bb1833c71
14201783ab1a
15112c001759
hex9a8adb224

41484661284 has 96 divisors (see below), whose sum is σ = 107534794752. Its totient is φ = 12341952000.

The previous prime is 41484661279. The next prime is 41484661333. The reversal of 41484661284 is 48216648414.

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, 2249469 + ... + 2267835.

It is an arithmetic number, because the mean of its divisors is an integer number (1120154112).

Almost surely, 241484661284 is an apocalyptic number.

41484661284 is a gapful number since it is divisible by the number (44) 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 41484661284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53767397376).

41484661284 is an abundant number, since it is smaller than the sum of its proper divisors (66050133468).

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

41484661284 is a wasteful number, since it uses less digits than its factorization.

41484661284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18697 (or 18695 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The spelling of 41484661284 in words is "forty-one billion, four hundred eighty-four million, six hundred sixty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 241 284 426 482 723 781 852 964 1446 1562 2343 2651 2892 3124 4686 5302 7953 9372 10604 15906 17111 18367 31812 34222 36734 51333 55101 68444 73468 102666 110202 188221 202037 205332 220404 376442 404074 564663 606111 752884 808148 1129326 1212222 1304057 2258652 2424444 2608114 3912171 4426447 5216228 7824342 8852894 13279341 14344627 15648684 17705788 26558682 28689254 43033881 48690917 53117364 57378508 86067762 97381834 146072751 172135524 194763668 292145502 314277737 584291004 628555474 942833211 1257110948 1885666422 3457055107 3771332844 6914110214 10371165321 13828220428 20742330642 41484661284