Search a number
-
+
10236119040 = 21134574143
BaseRepresentation
bin10011000100001111…
…01100100000000000
3222102101001201120000
421202013230200000
5131430421302130
64411415320000
7511442401440
oct114207544000
928371051500
1010236119040
114383027814
121b98080000
13c718ac994
146d1668120
153ed99e260
hex2621ec800

10236119040 has 960 divisors, whose sum is σ = 43952388480. Its totient is φ = 2229534720.

The previous prime is 10236119039. The next prime is 10236119051. The reversal of 10236119040 is 4091163201.

10236119040 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 611 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10236118995 and 10236119013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 238049259 + ... + 238049301.

It is an arithmetic number, because the mean of its divisors is an integer number (45783738).

Almost surely, 210236119040 is an apocalyptic number.

10236119040 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 10236119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976194240).

10236119040 is an abundant number, since it is smaller than the sum of its proper divisors (33716269440).

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

10236119040 is an equidigital number, since it uses as much as digits as its factorization.

10236119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10236119040 in words is "ten billion, two hundred thirty-six million, one hundred nineteen thousand, forty".