Search a number
-
+
422050345322544 = 243229274936764531
BaseRepresentation
bin101111111110110100100000…
…0111010010000100000110000
32001100100121201020011211212100
41133331221000322100200300
5420304333101400310134
64053343130233100400
7154620063000441321
oct13775510072204060
92040317636154770
10422050345322544
111125296011174a4
123b404226857700
131516623b541a23
1476314ba896448
1533bd770ce9999
hex17fda40e90830

422050345322544 has 120 divisors (see below), whose sum is σ = 1222328777670000. Its totient is φ = 135782879823360.

The previous prime is 422050345322503. The next prime is 422050345322549. The reversal of 422050345322544 is 445223543050224.

422050345322544 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 5 + 0 + 34 + 53 + 22 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 422050345322544.

It is not an unprimeable number, because it can be changed into a prime (422050345322549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6902442 + ... + 29862089.

It is an arithmetic number, because the mean of its divisors is an integer number (10186073147250).

Almost surely, 2422050345322544 is an apocalyptic number.

It is an amenable number.

422050345322544 is an abundant number, since it is smaller than the sum of its proper divisors (800278432347456).

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

422050345322544 is a wasteful number, since it uses less digits than its factorization.

422050345322544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36767323 (or 36767314 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

Adding to 422050345322544 its reverse (445223543050224), we get a palindrome (867273888372768).

The spelling of 422050345322544 in words is "four hundred twenty-two trillion, fifty billion, three hundred forty-five million, three hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 2749 4176 5498 8247 10996 16494 21992 24741 32988 43984 49482 65976 79721 98964 131952 159442 197928 239163 318884 395856 478326 637768 717489 956652 1275536 1434978 1913304 2869956 3826608 5739912 11479824 36764531 73529062 110293593 147058124 220587186 294116248 330880779 441174372 588232496 661761558 882348744 1066171399 1323523116 1764697488 2132342798 2647046232 3198514197 4264685596 5294092464 6397028394 8529371192 9595542591 12794056788 17058742384 19191085182 25588113576 38382170364 51176227152 76764340728 101065695719 153528681456 202131391438 303197087157 404262782876 606394174314 808525565752 909591261471 1212788348628 1617051131504 1819182522942 2425576697256 2930905175851 3638365045884 4851153394512 5861810351702 7276730091768 8792715527553 11723620703404 14553460183536 17585431055106 23447241406808 26378146582659 35170862110212 46894482813616 52756293165318 70341724220424 105512586330636 140683448440848 211025172661272 422050345322544