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42133133412 = 22321279215471
BaseRepresentation
bin100111001111010101…
…001001100001100100
311000202022220221102200
4213033111021201210
51142242040232122
631204455134500
73021045503436
oct471725114144
9130668827380
1042133133412
1116961067817
1281ba374430
133c85ca1696
142079a00656
151168de65ac
hex9cf549864

42133133412 has 36 divisors (see below), whose sum is σ = 107341817856. Its totient is φ = 13933790640.

The previous prime is 42133133309. The next prime is 42133133429. The reversal of 42133133412 is 21433133124.

It is a happy number.

42133133412 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 313 + 341 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×421331334122 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4603164 + ... + 4612307.

Almost surely, 242133133412 is an apocalyptic number.

It is an amenable number.

42133133412 is an abundant number, since it is smaller than the sum of its proper divisors (65208684444).

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

42133133412 is a wasteful number, since it uses less digits than its factorization.

42133133412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215608 (or 9215603 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 42133133412 its reverse (21433133124), we get a palindrome (63566266536).

The spelling of 42133133412 in words is "forty-two billion, one hundred thirty-three million, one hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 4572 9215471 18430942 27646413 36861884 55292826 82939239 110585652 165878478 331756956 1170364817 2340729634 3511094451 4681459268 7022188902 10533283353 14044377804 21066566706 42133133412