Search a number
-
+
42232333323204 = 22331949200636287
BaseRepresentation
bin10011001101000111110110…
…01110011100101111000100
312112112101000220220112212000
421212203323032130233010
521013413304312320304
6225453133250425300
711616120406155153
oct1146437316345704
9175471026815760
1042232333323204
11125026a5191372
1248a0aaab92230
131a74651a549bb
14a600ad31959a
154d385ea4c939
hex2668fb39cbc4

42232333323204 has 48 divisors (see below), whose sum is σ = 109547413248000. Its totient is φ = 14070221464608.

The previous prime is 42232333323203. The next prime is 42232333323253. The reversal of 42232333323204 is 40232333323224.

42232333323204 is a `hidden beast` number, since 4 + 2 + 2 + 323 + 3 + 3 + 3 + 2 + 320 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42232333323203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100107652 + ... + 100528635.

It is an arithmetic number, because the mean of its divisors is an integer number (2282237776000).

Almost surely, 242232333323204 is an apocalyptic number.

It is an amenable number.

42232333323204 is an abundant number, since it is smaller than the sum of its proper divisors (67315079924796).

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

42232333323204 is a wasteful number, since it uses less digits than its factorization.

42232333323204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200638249 (or 200638241 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

Adding to 42232333323204 its reverse (40232333323224), we get a palindrome (82464666646428).

The spelling of 42232333323204 in words is "forty-two trillion, two hundred thirty-two billion, three hundred thirty-three million, three hundred twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1949 3898 5847 7796 11694 17541 23388 35082 52623 70164 105246 210492 200636287 401272574 601908861 802545148 1203817722 1805726583 2407635444 3611453166 5417179749 7222906332 10834359498 21668718996 391040123363 782080246726 1173120370089 1564160493452 2346240740178 3519361110267 4692481480356 7038722220534 10558083330801 14077444441068 21116166661602 42232333323204