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42214881312 = 2532121072
BaseRepresentation
bin100111010100001100…
…111111100000100000
311000222000202011110200
4213110030333200200
51142424002200222
631220535225200
73023060366502
oct472414774040
9130860664420
1042214881312
11169a322216a
128221818200
133c99bc4516
1420867ddd72
151171192eac
hex9d433f820

42214881312 has 54 divisors (see below), whose sum is σ = 120058485183. Its totient is φ = 14070464832.

The previous prime is 42214881277. The next prime is 42214881349. The reversal of 42214881312 is 21318841224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42214881312 is a `hidden beast` number, since 4 + 221 + 48 + 81 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21107440656 + 21107440656 = 145284^2 + 145284^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=145284.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3480763 + ... + 3492869.

Almost surely, 242214881312 is an apocalyptic number.

It is an amenable number.

42214881312 is an abundant number, since it is smaller than the sum of its proper divisors (77843603871).

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

42214881312 is an frugal number, since it uses more digits than its factorization.

42214881312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24230 (or 12112 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The spelling of 42214881312 in words is "forty-two billion, two hundred fourteen million, eight hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12107 24214 36321 48428 72642 96856 108963 145284 193712 217926 290568 387424 435852 581136 871704 1162272 1743408 3486816 146579449 293158898 439738347 586317796 879476694 1172635592 1319215041 1758953388 2345271184 2638430082 3517906776 4690542368 5276860164 7035813552 10553720328 14071627104 21107440656 42214881312