Search a number
-
+
135445323004240 = 2453745758555069
BaseRepresentation
bin11110110010111111010010…
…010111010011100101010000
3122202120110001102220221202111
4132302333102113103211100
5120223114010142113430
61200022420011555104
740346413240433344
oct3662772227234520
9582513042827674
10135445323004240
113a180047868a87
121323626475ba94
135a76592a8c392
142563835217624
15109d39c656c2a
hex7b2fd25d3950

135445323004240 has 40 divisors (see below), whose sum is σ = 323421467234760. Its totient is φ = 52713855438336.

The previous prime is 135445323004219. The next prime is 135445323004247. The reversal of 135445323004240 is 42400323544531.

It can be written as a sum of positive squares in 4 ways, for example, as 13378710766864 + 122066612237376 = 3657692^2 + 11048376^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 135445323004193 and 135445323004202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135445323004247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22879274575 + ... + 22879280494.

It is an arithmetic number, because the mean of its divisors is an integer number (8085536680869).

Almost surely, 2135445323004240 is an apocalyptic number.

135445323004240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135445323004240 is an abundant number, since it is smaller than the sum of its proper divisors (187976144230520).

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

135445323004240 is a wasteful number, since it uses less digits than its factorization.

135445323004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45758555119 (or 45758555113 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 135445323004240 its reverse (42400323544531), we get a palindrome (177845646548771).

The spelling of 135445323004240 in words is "one hundred thirty-five trillion, four hundred forty-five billion, three hundred twenty-three million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 45758555069 91517110138 183034220276 228792775345 366068440552 457585550690 732136881104 915171101380 1693066537553 1830342202760 3386133075106 3660684405520 6772266150212 8465332687765 13544532300424 16930665375530 27089064600848 33861330751060 67722661502120 135445323004240