Search a number
-
+
1014324335136 = 25347131587727
BaseRepresentation
bin11101100001010100111…
…00010001001000100000
310120222011000012001020000
432300222130101020200
5113104314012211021
62053550230420000
7133165621410030
oct16605234211040
93528130161200
101014324335136
113611997099a2
121446bb201600
137485bb45ba8
1437144a298c0
151b5b90b3b26
hexec2a711220

1014324335136 has 480 divisors, whose sum is σ = 3445867256832. Its totient is φ = 286709829120.

The previous prime is 1014324335131. The next prime is 1014324335147. The reversal of 1014324335136 is 6315334234101.

1014324335136 is a `hidden beast` number, since 1 + 0 + 143 + 2 + 433 + 51 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1014324335136.

It is not an unprimeable number, because it can be changed into a prime (1014324335131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1395218805 + ... + 1395219531.

Almost surely, 21014324335136 is an apocalyptic number.

1014324335136 is a gapful number since it is divisible by the number (16) 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 1014324335136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722933628416).

1014324335136 is an abundant number, since it is smaller than the sum of its proper divisors (2431542921696).

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

1014324335136 is a wasteful number, since it uses less digits than its factorization.

1014324335136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 1014324335136 its reverse (6315334234101), we get a palindrome (7329658569237).

The spelling of 1014324335136 in words is "one trillion, fourteen billion, three hundred twenty-four million, three hundred thirty-five thousand, one hundred thirty-six".