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42232160123244 = 223271317758316457
BaseRepresentation
bin10011001101000111100001…
…11001101111100101101100
312112112100120212000002011200
421212203300321233211230
521013412430442420434
6225453104142245500
711616113204041050
oct1146436071574554
9175470525002150
1042232160123244
1112502616443703
1248a0a60b86890
131a74624bc2010
14a60094311c60
154d384e739199
hex2668f0e6f96c

42232160123244 has 144 divisors (see below), whose sum is σ = 139117704118848. Its totient is φ = 10482966687744.

The previous prime is 42232160123239. The next prime is 42232160123273. The reversal of 42232160123244 is 44232106123224.

42232160123244 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 2 + 1 + 601 + 2 + 3 + 2 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42232160123199 and 42232160123208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379102537 + ... + 379213920.

It is an arithmetic number, because the mean of its divisors is an integer number (966095167492).

Almost surely, 242232160123244 is an apocalyptic number.

It is an amenable number.

42232160123244 is an abundant number, since it is smaller than the sum of its proper divisors (96885543995604).

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

42232160123244 is a wasteful number, since it uses less digits than its factorization.

42232160123244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758316504 (or 758316499 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 42232160123244 its reverse (44232106123224), we get a palindrome (86464266246468).

The spelling of 42232160123244 in words is "forty-two trillion, two hundred thirty-two billion, one hundred sixty million, one hundred twenty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 68 78 84 91 102 117 119 126 153 156 182 204 221 234 238 252 273 306 357 364 442 468 476 546 612 663 714 819 884 1071 1092 1326 1428 1547 1638 1989 2142 2652 3094 3276 3978 4284 4641 6188 7956 9282 13923 18564 27846 55692 758316457 1516632914 2274949371 3033265828 4549898742 5308215199 6824848113 9099797484 9858113941 10616430398 12891379769 13649696226 15924645597 19716227882 21232860796 25782759538 27299392452 29574341823 31849291194 38674139307 39432455764 47773936791 51565519076 59148683646 63698582388 69006797587 77348278614 88723025469 90239658383 95547873582 116022417921 118297367292 138013595174 154696557228 167587936997 177446050938 180479316766 191095747164 207020392761 232044835842 270718975149 276027190348 335175873994 354892101876 360958633532 414040785522 464089671684 502763810991 541437950298 621061178283 670351747988 812156925447 828081571044 1005527621982 1082875900596 1173115558979 1242122356566 1508291432973 1624313850894 2011055243964 2346231117958 2484244713132 3016582865946 3248627701788 3519346676937 4692462235916 6033165731892 7038693353874 10558040030811 14077386707748 21116080061622 42232160123244