Search a number
-
+
422023330104240 = 24353778146542721
BaseRepresentation
bin101111111110100111111011…
…0101011011000001110110000
32001100021000222111021120020110
41133331033312223120032300
5420303412240001313430
64053322501423141320
7154615115353043034
oct13775176653301660
92040230874246213
10422023330104240
111125190a879a0a7
123b3bab47444840
1315163824663357
147630076a121c4
1533bcbde25a7b0
hex17fd3f6ad83b0

422023330104240 has 80 divisors (see below), whose sum is σ = 1308306979217376. Its totient is φ = 112536573542400.

The previous prime is 422023330104239. The next prime is 422023330104269. The reversal of 422023330104240 is 42401033320224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 422023330104198 and 422023330104207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14203921 + ... + 32338800.

Almost surely, 2422023330104240 is an apocalyptic number.

422023330104240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422023330104240 is an abundant number, since it is smaller than the sum of its proper divisors (886283649113136).

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

422023330104240 is a wasteful number, since it uses less digits than its factorization.

422023330104240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46580518 (or 46580512 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 422023330104240 its reverse (42401033320224), we get a palindrome (464424363424464).

The spelling of 422023330104240 in words is "four hundred twenty-two trillion, twenty-three billion, three hundred thirty million, one hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 37781 75562 113343 151124 188905 226686 302248 377810 453372 566715 604496 755620 906744 1133430 1511240 1813488 2266860 3022480 4533720 9067440 46542721 93085442 139628163 186170884 232713605 279256326 372341768 465427210 558512652 698140815 744683536 930854420 1117025304 1396281630 1861708840 2234050608 2792563260 3723417680 5585126520 11170253040 1758430542101 3516861084202 5275291626303 7033722168404 8792152710505 10550583252606 14067444336808 17584305421010 21101166505212 26376458131515 28134888673616 35168610842020 42202333010424 52752916263030 70337221684040 84404666020848 105505832526060 140674443368080 211011665052120 422023330104240