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42214224312 = 23321345100667
BaseRepresentation
bin100111010100001010…
…011111000110111000
311000221222111210020100
4213110022133012320
51142423320134222
631220513155400
73023051662161
oct472412370670
9130858453210
1042214224312
11169a2913597
12822155bb60
133c99a24470
1420866ac768
1511710b34ac
hex9d429f1b8

42214224312 has 48 divisors (see below), whose sum is σ = 123124823640. Its totient is φ = 12988991808.

The previous prime is 42214224289. The next prime is 42214224331. The reversal of 42214224312 is 21342241224.

It is a happy number.

42214224312 is a `hidden beast` number, since 4 + 221 + 4 + 2 + 2 + 431 + 2 = 666.

42214224312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22549398 + ... + 22551269.

Almost surely, 242214224312 is an apocalyptic number.

It is an amenable number.

42214224312 is an abundant number, since it is smaller than the sum of its proper divisors (80910599328).

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

42214224312 is a wasteful number, since it uses less digits than its factorization.

42214224312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45100692 (or 45100685 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 42214224312 its reverse (21342241224), we get a palindrome (63556465536).

The spelling of 42214224312 in words is "forty-two billion, two hundred fourteen million, two hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 45100667 90201334 135302001 180402668 270604002 360805336 405906003 541208004 586308671 811812006 1082416008 1172617342 1623624012 1758926013 2345234684 3247248024 3517852026 4690469368 5276778039 7035704052 10553556078 14071408104 21107112156 42214224312