Base | Representation |
---|---|
bin | 101101101101010100100… |
… | …110010001111001110000 |
3 | 102010021120111200200100000 |
4 | 231231110212101321300 |
5 | 402430322321224240 |
6 | 10402550221030000 |
7 | 442634623666224 |
oct | 55552446217160 |
9 | 12107514620300 |
10 | 3141040414320 |
11 | 1001120477566 |
12 | 4289080b5300 |
13 | 19a277b0c373 |
14 | ac054792784 |
15 | 56a8b97b430 |
hex | 2db54991e70 |
3141040414320 has 240 divisors, whose sum is σ = 10948694676192. Its totient is φ = 836895421440.
The previous prime is 3141040414297. The next prime is 3141040414361. The reversal of 3141040414320 is 234140401413.
3141040414320 is a `hidden beast` number, since 314 + 10 + 4 + 0 + 4 + 14 + 320 = 666.
3141040414320 is digitally balanced in base 2, 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 (240).
It is a super-2 number, since 2×31410404143202 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22890234 + ... + 23027046.
Almost surely, 23141040414320 is an apocalyptic number.
3141040414320 is a gapful number since it is divisible by the number (30) 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 3141040414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474347338096).
3141040414320 is an abundant number, since it is smaller than the sum of its proper divisors (7807654261872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3141040414320 is a wasteful number, since it uses less digits than its factorization.
3141040414320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 138022 (or 138004 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 3141040414320 its reverse (234140401413), we get a palindrome (3375180815733).
The spelling of 3141040414320 in words is "three trillion, one hundred forty-one billion, forty million, four hundred fourteen thousand, three hundred twenty".
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