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42314102211104 = 257950965350359
BaseRepresentation
bin10011001111100000001010…
…00010000000001000100000
312112211012002112111102212122
421213300011002000020200
521021233240131223404
6225554455153443412
711625043620224303
oct1147600502001040
9175735075442778
1042314102211104
1112534345632079
1248b490b270568
131a7c2834a5639
14a64028d8cb3a
154d5a4847b3be
hex267c05080220

42314102211104 has 96 divisors (see below), whose sum is σ = 84657254976000. Its totient is φ = 20815860409344.

The previous prime is 42314102211089. The next prime is 42314102211107. The reversal of 42314102211104 is 40111220141324.

It is not an unprimeable number, because it can be changed into a prime (42314102211107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840223877 + ... + 840274235.

It is an arithmetic number, because the mean of its divisors is an integer number (881846406000).

Almost surely, 242314102211104 is an apocalyptic number.

It is an amenable number.

42314102211104 is an abundant number, since it is smaller than the sum of its proper divisors (42343152764896).

42314102211104 is a wasteful number, since it uses less digits than its factorization.

42314102211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51610 (or 51602 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 42314102211104 its reverse (40111220141324), we get a palindrome (82425322352428).

The spelling of 42314102211104 in words is "forty-two trillion, three hundred fourteen billion, one hundred two million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 79 158 316 509 632 653 1018 1264 1306 2036 2528 2612 4072 5224 8144 10448 16288 20896 40211 50359 51587 80422 100718 103174 160844 201436 206348 321688 332377 402872 412696 643376 664754 805744 825392 1286752 1329508 1611488 1650784 2659016 3978361 5318032 7956722 10636064 15913444 25632731 26257783 31826888 32884427 51265462 52515566 63653776 65768854 102530924 105031132 127307552 131537708 205061848 210062264 263075416 410123696 420124528 526150832 820247392 840249056 1052301664 2024985749 2597869733 4049971498 5195739466 8099942996 10391478932 16199885992 16738173343 20782957864 32399771984 33476346686 41565915728 64799543968 66952693372 83131831456 133905386744 267810773488 535621546976 1322315694097 2644631388194 5289262776388 10578525552776 21157051105552 42314102211104