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14132120022 = 2324353595839
BaseRepresentation
bin11010010100101011…
…10000100111010110
31100110220002002011200
431022111300213112
5212420310320042
610254152213330
71010131016046
oct151225604726
940426062150
1014132120022
115aa2238a39
1228a499a246
131442aba5c7
14980c69726
1557aa2ec4c
hex34a5709d6

14132120022 has 96 divisors (see below), whose sum is σ = 32469465600. Its totient is φ = 4437066816.

The previous prime is 14132120021. The next prime is 14132120027. The reversal of 14132120022 is 22002123141.

It is a happy number.

14132120022 is a `hidden beast` number, since 141 + 321 + 200 + 2 + 2 = 666.

14132120022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14132119977 and 14132120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132120021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2417379 + ... + 2423217.

It is an arithmetic number, because the mean of its divisors is an integer number (338223600).

Almost surely, 214132120022 is an apocalyptic number.

14132120022 is an abundant number, since it is smaller than the sum of its proper divisors (18337345578).

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

14132120022 is a wasteful number, since it uses less digits than its factorization.

14132120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14132120022 its reverse (22002123141), we get a palindrome (36134243163).

The spelling of 14132120022 in words is "fourteen billion, one hundred thirty-two million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 43 53 59 86 106 118 129 159 177 258 318 354 387 477 531 774 954 1062 2279 2537 3127 4558 5074 5839 6254 6837 7611 9381 11678 13674 15222 17517 18762 20511 22833 28143 35034 41022 45666 52551 56286 105102 134461 251077 268922 309467 344501 403383 502154 618934 689002 753231 806766 928401 1033503 1210149 1506462 1856802 2067006 2259693 2420298 2785203 3100509 4519386 5570406 6201018 13307081 14813543 18258553 26614162 29627086 36517106 39921243 44440629 54775659 79842486 88881258 109551318 119763729 133321887 164326977 239527458 266643774 328653954 785117779 1570235558 2355353337 4710706674 7066060011 14132120022