Base | Representation |
---|---|
bin | 1011111100111111010101… |
… | …1111001100000000000000 |
3 | 1201112101220002112121100212 |
4 | 2333033311133030000000 |
5 | 3210311140412131000 |
6 | 43541313535333252 |
7 | 2524336335666101 |
oct | 277176537140000 |
9 | 51471802477325 |
10 | 13142423552000 |
11 | 4207741522376 |
12 | 158310b081228 |
13 | 74442c691142 |
14 | 33614d4843a8 |
15 | 17bce8032c35 |
hex | bf3f57cc000 |
13142423552000 has 240 divisors, whose sum is σ = 32872338827328. Its totient is φ = 5245776691200.
The previous prime is 13142423551979. The next prime is 13142423552107. The reversal of 13142423552000 is 25532424131.
13142423552000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997369412 + ... + 997382588.
Almost surely, 213142423552000 is an apocalyptic number.
13142423552000 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 13142423552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16436169413664).
13142423552000 is an abundant number, since it is smaller than the sum of its proper divisors (19729915275328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13142423552000 is an frugal number, since it uses more digits than its factorization.
13142423552000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13707 (or 13671 counting only the distinct ones).
The product of its (nonzero) digits is 28800, while the sum is 32.
Adding to 13142423552000 its reverse (25532424131), we get a palindrome (13167955976131).
The spelling of 13142423552000 in words is "thirteen trillion, one hundred forty-two billion, four hundred twenty-three million, five hundred fifty-two thousand".
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