Search a number
-
+
13165194240 = 21032511191367
BaseRepresentation
bin11000100001011010…
…01110110000000000
31020222111122011100200
430100231032300000
5203430242203430
610014211445200
7644150206332
oct142055166000
936874564320
1013165194240
115646455320
122674bb6800
13131a690783
148cc68b452
15520bd3460
hex310b4ec00

13165194240 has 528 divisors, whose sum is σ = 52421541120. Its totient is φ = 3021373440.

The previous prime is 13165194239. The next prime is 13165194311. The reversal of 13165194240 is 4249156131.

It is a happy number.

13165194240 is a `hidden beast` number, since 131 + 6 + 519 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 = 13165194195 and 13165194204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9630037 + ... + 9631403.

Almost surely, 213165194240 is an apocalyptic number.

13165194240 is a gapful number since it is divisible by the number (10) 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 13165194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26210770560).

13165194240 is an abundant number, since it is smaller than the sum of its proper divisors (39256346880).

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

13165194240 is a wasteful number, since it uses less digits than its factorization.

13165194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13165194240 in words is "thirteen billion, one hundred sixty-five million, one hundred ninety-four thousand, two hundred forty".