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42226131312 = 24321531191533
BaseRepresentation
bin100111010100110111…
…111010000101110000
311000222210220201120100
4213110313322011300
51142434342200222
631222020312400
73023255123361
oct472467720560
9130883821510
1042226131312
11169a9606492
128225542700
133c9c333021
1420880cbb68
1511721664ac
hex9d4dfa170

42226131312 has 60 divisors (see below), whose sum is σ = 118252325464. Its totient is φ = 14066110080.

The previous prime is 42226131307. The next prime is 42226131317. The reversal of 42226131312 is 21313162224.

42226131312 is a `hidden beast` number, since 4 + 2 + 22 + 613 + 13 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (42226131307) and next prime (42226131317).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42226131317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124698 + ... + 316230.

Almost surely, 242226131312 is an apocalyptic number.

It is an amenable number.

42226131312 is an abundant number, since it is smaller than the sum of its proper divisors (76026194152).

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

42226131312 is a wasteful number, since it uses less digits than its factorization.

42226131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193078 (or 193069 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 42226131312 its reverse (21313162224), we get a palindrome (63539293536).

The spelling of 42226131312 in words is "forty-two billion, two hundred twenty-six million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1531 3062 4593 6124 9186 12248 13779 18372 24496 27558 36744 55116 73488 110232 191533 220464 383066 574599 766132 1149198 1532264 1723797 2298396 3064528 3447594 4596792 6895188 9193584 13790376 27580752 293237023 586474046 879711069 1172948092 1759422138 2345896184 2639133207 3518844276 4691792368 5278266414 7037688552 10556532828 14075377104 21113065656 42226131312