Search a number
-
+
10013034144 = 253104302439
BaseRepresentation
bin10010101001101001…
…01100011010100000
3221211211021211121110
421110310230122200
5131001314043034
64333330023320
7503063246241
oct112464543240
927754254543
1010013034144
114279107833
121b35417b40
13c37602099
146adb96cc8
153d90d4de9
hex254d2c6a0

10013034144 has 24 divisors (see below), whose sum is σ = 26284214880. Its totient is φ = 3337678016.

The previous prime is 10013034133. The next prime is 10013034149. The reversal of 10013034144 is 44143031001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10013034144.

It is not an unprimeable number, because it can be changed into a prime (10013034149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52151124 + ... + 52151315.

It is an arithmetic number, because the mean of its divisors is an integer number (1095175620).

Almost surely, 210013034144 is an apocalyptic number.

It is an amenable number.

10013034144 is an abundant number, since it is smaller than the sum of its proper divisors (16271180736).

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

10013034144 is a wasteful number, since it uses less digits than its factorization.

10013034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104302452 (or 104302444 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10013034144 its reverse (44143031001), we get a palindrome (54156065145).

The spelling of 10013034144 in words is "ten billion, thirteen million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 104302439 208604878 312907317 417209756 625814634 834419512 1251629268 1668839024 2503258536 3337678048 5006517072 10013034144