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34342142412 = 223101197143833
BaseRepresentation
bin11111111110111100…
…111000000111001100
310021122100210120222110
4133332330320013030
51030313042024122
623435423144020
72324013252114
oct377674700714
9107570716873
1034342142412
1113623275986
1267a5145010
133313b4b336
14193adc2044
15d5ee3490c
hex7fef381cc

34342142412 has 48 divisors (see below), whose sum is σ = 81336400992. Its totient is φ = 11276428800.

The previous prime is 34342142383. The next prime is 34342142431. The reversal of 34342142412 is 21424124343.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34342142412.

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, 166848 + ... + 310680.

It is an arithmetic number, because the mean of its divisors is an integer number (1694508354).

Almost surely, 234342142412 is an apocalyptic number.

It is an amenable number.

34342142412 is an abundant number, since it is smaller than the sum of its proper divisors (46994258580).

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

34342142412 is a wasteful number, since it uses less digits than its factorization.

34342142412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144138 (or 144136 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 34342142412 its reverse (21424124343), we get a palindrome (55766266755).

The spelling of 34342142412 in words is "thirty-four billion, three hundred forty-two million, one hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 101 197 202 303 394 404 591 606 788 1182 1212 2364 19897 39794 59691 79588 119382 143833 238764 287666 431499 575332 862998 1725996 14527133 28335101 29054266 43581399 56670202 58108532 85005303 87162798 113340404 170010606 174325596 340021212 2861845201 5723690402 8585535603 11447380804 17171071206 34342142412