Search a number
-
+
42422324064 = 2531398533727
BaseRepresentation
bin100111100000100100…
…010100101101100000
311001111111002100102120
4213200210110231200
51143340103332224
631253305344240
73031156543041
oct474044245540
9131444070376
1042422324064
1116a9a328a5a
12827b198080
134000b86403
1420a619c8c8
1511844bc779
hex9e0914b60

42422324064 has 96 divisors (see below), whose sum is σ = 112321359360. Its totient is φ = 14018821632.

The previous prime is 42422324057. The next prime is 42422324089. The reversal of 42422324064 is 46042322424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 11380569 + ... + 11384295.

It is an arithmetic number, because the mean of its divisors is an integer number (1170014160).

Almost surely, 242422324064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42422324064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160679680).

42422324064 is an abundant number, since it is smaller than the sum of its proper divisors (69899035296).

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

42422324064 is a wasteful number, since it uses less digits than its factorization.

42422324064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 42422324064 its reverse (46042322424), we get a palindrome (88464646488).

The spelling of 42422324064 in words is "forty-two billion, four hundred twenty-two million, three hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 853 1112 1668 1706 2224 2559 3336 3412 3727 4448 5118 6672 6824 7454 10236 11181 13344 13648 14908 20472 22362 27296 29816 40944 44724 59632 81888 89448 118567 119264 178896 237134 355701 357792 474268 518053 711402 948536 1036106 1422804 1554159 1897072 2072212 2845608 3108318 3179131 3794144 4144424 5691216 6216636 6358262 8288848 9537393 11382432 12433272 12716524 16577696 19074786 24866544 25433048 38149572 49733088 50866096 76299144 101732192 152598288 305196576 441899209 883798418 1325697627 1767596836 2651395254 3535193672 5302790508 7070387344 10605581016 14140774688 21211162032 42422324064