Base | Representation |
---|---|
bin | 1000010010001111111… |
… | …1001101000000000000 |
3 | 111121101202110220211100 |
4 | 2010203333031000000 |
5 | 4313001422113043 |
6 | 145220010414400 |
7 | 13166155262565 |
oct | 2044377150000 |
9 | 447352426740 |
10 | 142337691648 |
11 | 55401a09509 |
12 | 23704731400 |
13 | 10564ca30a9 |
14 | 6c63cac86c |
15 | 3a8108acd3 |
hex | 2123fcd000 |
142337691648 has 156 divisors (see below), whose sum is σ = 411594702948. Its totient is φ = 47394324480.
The previous prime is 142337691599. The next prime is 142337691667. The reversal of 142337691648 is 846196733241.
142337691648 is a `hidden beast` number, since 1 + 423 + 3 + 76 + 91 + 64 + 8 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 12875894784 + 129461796864 = 113472^2 + 359808^2 .
It is a super-2 number, since 2×1423376916482 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 142337691594 and 142337691603.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50170486 + ... + 50173322.
It is an arithmetic number, because the mean of its divisors is an integer number (2638427583).
Almost surely, 2142337691648 is an apocalyptic number.
142337691648 is a gapful number since it is divisible by the number (18) 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 142337691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205797351474).
142337691648 is an abundant number, since it is smaller than the sum of its proper divisors (269257011300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142337691648 is a wasteful number, since it uses less digits than its factorization.
142337691648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4228 (or 4203 counting only the distinct ones).
The product of its digits is 5225472, while the sum is 54.
The spelling of 142337691648 in words is "one hundred forty-two billion, three hundred thirty-seven million, six hundred ninety-one thousand, six hundred forty-eight".
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