Base | Representation |
---|---|
bin | 111111110111000000… |
… | …0010011111100000000 |
3 | 111002222022112201011000 |
4 | 1333232000103330000 |
5 | 4221324040421443 |
6 | 142555550452000 |
7 | 12623245436310 |
oct | 1775600237400 |
9 | 432868481130 |
10 | 137137045248 |
11 | 53183317935 |
12 | 226b2b04000 |
13 | cc166c1c28 |
14 | 68cd2db440 |
15 | 38796ed8d3 |
hex | 1fee013f00 |
137137045248 has 144 divisors (see below), whose sum is σ = 463472584960. Its totient is φ = 39181999104.
The previous prime is 137137045121. The next prime is 137137045249. The reversal of 137137045248 is 842540731731.
137137045248 is a `hidden beast` number, since 1 + 37 + 1 + 370 + 4 + 5 + 248 = 666.
137137045248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (137137045249) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1368790 + ... + 1465557.
Almost surely, 2137137045248 is an apocalyptic number.
137137045248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
137137045248 is an abundant number, since it is smaller than the sum of its proper divisors (326335539712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137137045248 is an equidigital number, since it uses as much as digits as its factorization.
137137045248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2834379 (or 2834359 counting only the distinct ones).
The product of its (nonzero) digits is 564480, while the sum is 45.
Adding to 137137045248 its reverse (842540731731), we get a palindrome (979677776979).
The spelling of 137137045248 in words is "one hundred thirty-seven billion, one hundred thirty-seven million, forty-five thousand, two hundred forty-eight".
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