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41222143044 = 223219712932897
BaseRepresentation
bin100110011001000001…
…111111110001000100
310221101211201211120200
4212121001333301010
51133410332034134
630534233330500
72656344302025
oct463101776104
9127354654520
1041222143044
1116533909215
127ba5266a30
133b6c32a724
141dd0a22c4c
151113e48499
hex99907fc44

41222143044 has 144 divisors (see below), whose sum is σ = 111647652480. Its totient is φ = 12785955840.

The previous prime is 41222143037. The next prime is 41222143073. The reversal of 41222143044 is 44034122214.

41222143044 is a `hidden beast` number, since 4 + 1 + 2 + 221 + 430 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41222142999 and 41222143017.

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, 14227804 + ... + 14230700.

It is an arithmetic number, because the mean of its divisors is an integer number (775330920).

Almost surely, 241222143044 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 41222143044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55823826240).

41222143044 is an abundant number, since it is smaller than the sum of its proper divisors (70425509436).

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

41222143044 is a wasteful number, since it uses less digits than its factorization.

41222143044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3285 counting only the distinct ones).

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

Adding to 41222143044 its reverse (44034122214), we get a palindrome (85256265258).

The spelling of 41222143044 in words is "forty-one billion, two hundred twenty-two million, one hundred forty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 293 342 426 586 639 684 852 879 1172 1278 1349 1758 2556 2637 2698 2897 3516 4047 5274 5396 5567 5794 8094 8691 10548 11134 11588 12141 16188 16701 17382 20803 22268 24282 26073 33402 34764 41606 48564 50103 52146 55043 62409 66804 83212 100206 104292 110086 124818 165129 187227 200412 205687 220172 249636 330258 374454 395257 411374 495387 617061 660516 748908 790514 822748 848821 990774 1185771 1234122 1581028 1697642 1851183 1981548 2371542 2468244 2546463 3395284 3557313 3702366 3908053 4743084 5092926 7114626 7404732 7639389 7816106 10185852 11724159 14229252 15278778 15632212 16127599 23448318 30557556 32255198 35172477 46896636 48382797 60266291 64510396 70344954 96765594 120532582 140689908 145148391 180798873 193531188 241065164 290296782 361597746 542396619 580593564 723195492 1084793238 1145059529 2169586476 2290119058 3435178587 4580238116 6870357174 10305535761 13740714348 20611071522 41222143044