Search a number
-
+
1418181065496 = 233513444712619
BaseRepresentation
bin10100101000110010001…
…011011011101100011000
312000120120110212121200000
4110220302023123230120
5141213413323043441
63003300422013000
7204313564105626
oct24506213335430
95016513777600
101418181065496
114a74a126a958
121aaa29b77160
13a39704c22b0
144c8d70ca516
1526d543822b6
hex14a322dbb18

1418181065496 has 192 divisors, whose sum is σ = 4290864614400. Its totient is φ = 436230707328.

The previous prime is 1418181065491. The next prime is 1418181065507. The reversal of 1418181065496 is 6945601818141.

1418181065496 is a `hidden beast` number, since 1 + 4 + 1 + 81 + 8 + 10 + 6 + 549 + 6 = 666.

It is a super-2 number, since 2×14181810654962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1418181065491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112378275 + ... + 112390893.

It is an arithmetic number, because the mean of its divisors is an integer number (22348253200).

Almost surely, 21418181065496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1418181065496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145432307200).

1418181065496 is an abundant number, since it is smaller than the sum of its proper divisors (2872683548904).

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

1418181065496 is a wasteful number, since it uses less digits than its factorization.

1418181065496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17100 (or 17084 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1418181065496 in words is "one trillion, four hundred eighteen billion, one hundred eighty-one million, sixty-five thousand, four hundred ninety-six".