Search a number
-
+
14142056328 = 233421824161
BaseRepresentation
bin11010010101110111…
…01010011110001000
31100111120202220020000
431022323222132020
5212430331300303
610255145203000
71010311331631
oct151273523610
940446686200
1014142056328
115aa7905264
1228a8190460
131444b8918a
149822d4888
1557b843da3
hex34aeea788

14142056328 has 40 divisors (see below), whose sum is σ = 39610854030. Its totient is φ = 4714018560.

The previous prime is 14142056317. The next prime is 14142056351. The reversal of 14142056328 is 82365024141.

It is a happy number.

14142056328 is a `hidden beast` number, since 1 + 4 + 14 + 2 + 0 + 5 + 632 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11320534404 + 2821521924 = 106398^2 + 53118^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14142056292 and 14142056301.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10911433 + ... + 10912728.

Almost surely, 214142056328 is an apocalyptic number.

14142056328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14142056328 is an abundant number, since it is smaller than the sum of its proper divisors (25468797702).

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

14142056328 is a wasteful number, since it uses less digits than its factorization.

14142056328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21824179 (or 21824166 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14142056328 in words is "fourteen billion, one hundred forty-two million, fifty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 21824161 43648322 65472483 87296644 130944966 174593288 196417449 261889932 392834898 523779864 589252347 785669796 1178504694 1571339592 1767757041 2357009388 3535514082 4714018776 7071028164 14142056328