Search a number
-
+
42298113218184 = 233217127272104583
BaseRepresentation
bin10011001111000010011000…
…00000110101011010001000
312112202122211020101102221200
421213201030000311122020
521021003013440440214
6225543252430104200
711623636451066505
oct1147411400653210
9175678736342850
1042298113218184
111252859022503a
1248b17a864b060
131a7a905aa4495
14a6334d6844ac
154d540e90bd09
hex26784c035688

42298113218184 has 96 divisors (see below), whose sum is σ = 122251147499520. Its totient is φ = 13165508095488.

The previous prime is 42298113218171. The next prime is 42298113218297. The reversal of 42298113218184 is 48181231189224.

42298113218184 is a `hidden beast` number, since 4 + 2 + 298 + 11 + 321 + 8 + 18 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42298113218184.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135896844 + ... + 136207739.

It is an arithmetic number, because the mean of its divisors is an integer number (1273449453120).

Almost surely, 242298113218184 is an apocalyptic number.

It is an amenable number.

42298113218184 is an abundant number, since it is smaller than the sum of its proper divisors (79953034281336).

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

42298113218184 is a wasteful number, since it uses less digits than its factorization.

42298113218184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272104739 (or 272104732 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The spelling of 42298113218184 in words is "forty-two trillion, two hundred ninety-eight billion, one hundred thirteen million, two hundred eighteen thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 127 136 153 204 254 306 381 408 508 612 762 1016 1143 1224 1524 2159 2286 3048 4318 4572 6477 8636 9144 12954 17272 19431 25908 38862 51816 77724 155448 272104583 544209166 816313749 1088418332 1632627498 2176836664 2448941247 3265254996 4625777911 4897882494 6530509992 9251555822 9795764988 13877333733 18503111644 19591529976 27754667466 34557282041 37006223288 41632001199 55509334932 69114564082 83264002398 103671846123 111018669864 138229128164 166528004796 207343692246 276458256328 311015538369 333056009592 414687384492 587473794697 622031076738 829374768984 1174947589394 1244062153476 1762421384091 2349895178788 2488124306952 3524842768182 4699790357576 5287264152273 7049685536364 10574528304546 14099371072728 21149056609092 42298113218184