Search a number
-
+
42274433447224 = 23114711731871289
BaseRepresentation
bin10011001110010110010001…
…00101101011010100111000
312112200101200221201102220121
421213023020211223110320
521020111014430302344
6225524335010303024
711622140604260416
oct1147131045532470
9175611627642817
1042274433447224
11125195396526a0
1248a909a287a74
131a78600c396a4
14a621447a62b6
154d49c5ac3684
hex2672c896b538

42274433447224 has 64 divisors (see below), whose sum is σ = 88317857779200. Its totient is φ = 18805183161600.

The previous prime is 42274433447221. The next prime is 42274433447251.

42274433447224 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42274433447221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48083772 + ... + 48955060.

It is an arithmetic number, because the mean of its divisors is an integer number (1379966527800).

Almost surely, 242274433447224 is an apocalyptic number.

42274433447224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42274433447224 is an abundant number, since it is smaller than the sum of its proper divisors (46043424331976).

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

42274433447224 is a wasteful number, since it uses less digits than its factorization.

42274433447224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883084 (or 883080 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 52.

The spelling of 42274433447224 in words is "forty-two trillion, two hundred seventy-four billion, four hundred thirty-three million, four hundred forty-seven thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 2068 4136 11731 23462 46924 93848 129041 258082 516164 551357 871289 1032328 1102714 1742578 2205428 3485156 4410856 6064927 6970312 9584179 12129854 19168358 24259708 38336716 40950583 48519416 76673432 81901166 163802332 327604664 450456413 900912826 1801825652 3603651304 10221091259 20442182518 40884365036 81768730072 112432003849 224864007698 449728015396 480391289173 899456030792 960782578346 1921565156692 3843130313384 5284304180903 10568608361806 21137216723612 42274433447224