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14142006358632 = 2332196416754981
BaseRepresentation
bin1100110111001011000101…
…0000111111001001101000
31212001221222201221102010200
43031302301100333021220
53323200312111434012
650024425324112200
72656504046443665
oct315626120771150
955057881842120
1014142006358632
1145626559a9759
121704995395660
137b777c3a85a9
1436c69632ca6c
15197cecd3b3dc
hexcdcb143f268

14142006358632 has 24 divisors (see below), whose sum is σ = 38301267221490. Its totient is φ = 4714002119520.

The previous prime is 14142006358631. The next prime is 14142006358651. The reversal of 14142006358632 is 23685360024141.

14142006358632 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 2 + 0 + 0 + 6 + 3 + 5 + 8 + 632 = 666.

14142006358632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8392110723396 + 5749895635236 = 2896914^2 + 2397894^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×141420063586322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14142006358631) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 98208377419 + ... + 98208377562.

Almost surely, 214142006358632 is an apocalyptic number.

14142006358632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14142006358632 is an abundant number, since it is smaller than the sum of its proper divisors (24159260862858).

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

14142006358632 is a wasteful number, since it uses less digits than its factorization.

14142006358632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196416754993 (or 196416754986 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 14142006358632 in words is "fourteen trillion, one hundred forty-two billion, six million, three hundred fifty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 196416754981 392833509962 589250264943 785667019924 1178500529886 1571334039848 1767750794829 2357001059772 3535501589658 4714002119544 7071003179316 14142006358632