Base | Representation |
---|---|
bin | 1000010000010100100… |
… | …1010101100101100000 |
3 | 111120001200211101120202 |
4 | 2010011021111211200 |
5 | 4310421441121220 |
6 | 145052404124332 |
7 | 13150303162625 |
oct | 2040511254540 |
9 | 446050741522 |
10 | 141820254560 |
11 | 55166922356 |
12 | 2359b3966a8 |
13 | 104b1a242ba |
14 | 6c1529834c |
15 | 3a5092b275 |
hex | 2105255960 |
141820254560 has 96 divisors (see below), whose sum is σ = 338745449952. Its totient is φ = 56103321600.
The previous prime is 141820254557. The next prime is 141820254599. The reversal of 141820254560 is 65452028141.
It is a happy number.
It is a super-2 number, since 2×1418202545602 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31860335 + ... + 31864785.
It is an arithmetic number, because the mean of its divisors is an integer number (3528598437).
Almost surely, 2141820254560 is an apocalyptic number.
141820254560 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 141820254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169372724976).
141820254560 is an abundant number, since it is smaller than the sum of its proper divisors (196925195392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141820254560 is a wasteful number, since it uses less digits than its factorization.
141820254560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6616 (or 6608 counting only the distinct ones).
The product of its (nonzero) digits is 76800, while the sum is 38.
The spelling of 141820254560 in words is "one hundred forty-one billion, eight hundred twenty million, two hundred fifty-four thousand, five hundred sixty".
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