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201222444241044 = 2232419710871292971
BaseRepresentation
bin101101110000001011000000…
…010011110101000010010100
3222101110200022010010202011200
4231300023000103311002110
5202333312031211203134
61551544151552032500
760245561516031612
oct5560130023650224
9871420263122150
10201222444241044
115912aa60a08986
121a69a311532730
13883826c75a195
14379930accc6b2
15183e3ce3aa499
hexb702c04f5094

201222444241044 has 144 divisors (see below), whose sum is σ = 526907977430016. Its totient is φ = 64703942553600.

The previous prime is 201222444240973. The next prime is 201222444241079. The reversal of 201222444241044 is 440142444222102.

201222444241044 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 224 + 4 + 424 + 1 + 0 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 154981479 + ... + 156274449.

Almost surely, 2201222444241044 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 201222444241044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263453988715008).

201222444241044 is an abundant number, since it is smaller than the sum of its proper divisors (325685533188972).

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

201222444241044 is a wasteful number, since it uses less digits than its factorization.

201222444241044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294206 (or 1294201 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 201222444241044 its reverse (440142444222102), we get a palindrome (641364888463146).

The spelling of 201222444241044 in words is "two hundred one trillion, two hundred twenty-two billion, four hundred forty-four million, two hundred forty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 97 123 164 194 246 291 369 388 492 582 738 873 1087 1164 1476 1746 2174 3261 3492 3977 4348 6522 7954 9783 11931 13044 15908 19566 23862 35793 39132 44567 47724 71586 89134 105439 133701 143172 178268 210878 267402 316317 401103 421756 534804 632634 802206 948951 1265268 1292971 1604412 1897902 2585942 3795804 3878913 4322999 5171884 7757826 8645998 11636739 12968997 15515652 17291996 23273478 25937994 38906991 46546956 51875988 53011811 77813982 106023622 125418187 155627964 159035433 212047244 250836374 318070866 376254561 477106299 501672748 636141732 752509122 954212598 1128763683 1405459477 1505018244 1908425196 2257527366 2810918954 4216378431 4515054732 5142145667 5621837908 8432756862 10284291334 12649135293 15426437001 16865513724 20568582668 25298270586 30852874002 46279311003 50596541172 57623838557 61705748004 92558622006 115247677114 136329569269 172871515671 185117244012 230495354228 272659138538 345743031342 408988707807 518614547013 545318277076 691486062684 817977415614 1037229094026 1226966123421 1635954831228 2074458188052 2453932246842 4907864493684 5589512340029 11179024680058 16768537020087 22358049360116 33537074040174 50305611060261 67074148080348 100611222120522 201222444241044