Search a number
-
+
13423343150440 = 23519237531094349
BaseRepresentation
bin1100001101010101110110…
…0110011010010101101000
31202112020222212022210202201
43003111131212122111220
53224412001321303230
644314333153305544
72553542646120526
oct303253546322550
952466885283681
1013423343150440
114305898298563
12160964a5652b4
13764a7b4b11c2
1434599c4bd316
1518428a5745ca
hexc355d99a568

13423343150440 has 384 divisors, whose sum is σ = 33668733780000. Its totient is φ = 4810223149056.

The previous prime is 13423343150429. The next prime is 13423343150449. The reversal of 13423343150440 is 4405134332431.

13423343150440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 2512041143364 + 10911302007076 = 1584942^2 + 3303226^2 .

It is a super-2 number, since 2×134233431504402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 13423343150440.

It is not an unprimeable number, because it can be changed into a prime (13423343150449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3086533386 + ... + 3086537734.

Almost surely, 213423343150440 is an apocalyptic number.

13423343150440 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 13423343150440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16834366890000).

13423343150440 is an abundant number, since it is smaller than the sum of its proper divisors (20245390629560).

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

13423343150440 is a wasteful number, since it uses less digits than its factorization.

13423343150440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 13423343150440 its reverse (4405134332431), we get a palindrome (17828477482871).

The spelling of 13423343150440 in words is "thirteen trillion, four hundred twenty-three billion, three hundred forty-three million, one hundred fifty thousand, four hundred forty".