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13436423000 = 23537111331433
BaseRepresentation
bin11001000001101111…
…11000101101011000
31021200102000000021022
430200313320231120
5210004211014000
610101141102012
7653652465620
oct144067705530
937612000238
1013436423000
115775568520
12272b9b7908
131361926970
149166d1880
1553990c585
hex320df8b58

13436423000 has 512 divisors, whose sum is σ = 43677204480. Its totient is φ = 3732480000.

The previous prime is 13436422973. The next prime is 13436423047. The reversal of 13436423000 is 32463431.

It is a happy number.

13436423000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×134364230003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31030784 + ... + 31031216.

It is an arithmetic number, because the mean of its divisors is an integer number (85307040).

Almost surely, 213436423000 is an apocalyptic number.

13436423000 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 13436423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21838602240).

13436423000 is an abundant number, since it is smaller than the sum of its proper divisors (30240781480).

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

13436423000 is a wasteful number, since it uses less digits than its factorization.

13436423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 13436423000 its reverse (32463431), we get a palindrome (13468886431).

The spelling of 13436423000 in words is "thirteen billion, four hundred thirty-six million, four hundred twenty-three thousand".