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42444025224 = 23331479119099
BaseRepresentation
bin100111100001110111…
…000110110110001000
311001112222220212211020
4213201313012312020
51143411132301344
631255402432440
73031542155526
oct474167066610
9131488825736
1042444025224
11170006003a7
128286502720
134005513c33
1420a900b316
151186357719
hex9e1dc6d88

42444025224 has 64 divisors (see below), whose sum is σ = 109762560000. Its totient is φ = 13662922560.

The previous prime is 42444025201. The next prime is 42444025301. The reversal of 42444025224 is 42252044424.

42444025224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 296827 + ... + 415925.

It is an arithmetic number, because the mean of its divisors is an integer number (1715040000).

Almost surely, 242444025224 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 42444025224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54881280000).

42444025224 is an abundant number, since it is smaller than the sum of its proper divisors (67318534776).

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

42444025224 is a wasteful number, since it uses less digits than its factorization.

42444025224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119618 (or 119614 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 33.

Adding to 42444025224 its reverse (42252044424), we get a palindrome (84696069648).

The spelling of 42444025224 in words is "forty-two billion, four hundred forty-four million, twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 479 744 958 1437 1916 2874 3832 5748 11496 14849 29698 44547 59396 89094 118792 119099 178188 238198 356376 357297 476396 714594 952792 1429188 2858376 3692069 7384138 11076207 14768276 22152414 29536552 44304828 57048421 88609656 114096842 171145263 228193684 342290526 456387368 684581052 1369162104 1768501051 3537002102 5305503153 7074004204 10611006306 14148008408 21222012612 42444025224