Search a number
-
+
30140959744 = 2107173179101
BaseRepresentation
bin11100000100100010…
…101000110000000000
32212210120112101210101
4130010202220300000
5443212041202434
621502505212144
72114630634130
oct340442506000
985716471711
1030140959744
1111867871195
125a12191054
132ac464a22c
14165d05cac0
15bb61beb14
hex7048a8c00

30140959744 has 352 divisors, whose sum is σ = 76969820160. Its totient is φ = 11501568000.

The previous prime is 30140959711. The next prime is 30140959759. The reversal of 30140959744 is 44795904103.

It is a junction number, because it is equal to n+sod(n) for n = 30140959694 and 30140959703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298425294 + ... + 298425394.

Almost surely, 230140959744 is an apocalyptic number.

30140959744 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30140959744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38484910080).

30140959744 is an abundant number, since it is smaller than the sum of its proper divisors (46828860416).

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

30140959744 is a wasteful number, since it uses less digits than its factorization.

30140959744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 30140959744 in words is "thirty billion, one hundred forty million, nine hundred fifty-nine thousand, seven hundred forty-four".