Base | Representation |
---|---|
bin | 100000011110010110100110… |
… | …001111011101010111000000 |
3 | 200201200202222220002102101000 |
4 | 200132112212033131113000 |
5 | 122210004143130023120 |
6 | 1223432045100012000 |
7 | 42040434265103310 |
oct | 4036264617352700 |
9 | 621622886072330 |
10 | 142823336564160 |
11 | 4156504510388a |
12 | 14028152531000 |
13 | 619024b941085 |
14 | 273a9875a1440 |
15 | 117a2693ed990 |
hex | 81e5a63dd5c0 |
142823336564160 has 896 divisors, whose sum is σ = 590504585287680. Its totient is φ = 31814951731200.
The previous prime is 142823336564099. The next prime is 142823336564257. The reversal of 142823336564160 is 61465633328241.
142823336564160 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 2 + 33 + 36 + 564 + 16 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 142823336564097 and 142823336564106.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2348226550 + ... + 2348287370.
It is an arithmetic number, because the mean of its divisors is an integer number (659045296080).
Almost surely, 2142823336564160 is an apocalyptic number.
142823336564160 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 142823336564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295252292643840).
142823336564160 is an abundant number, since it is smaller than the sum of its proper divisors (447681248723520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142823336564160 is a wasteful number, since it uses less digits than its factorization.
142823336564160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61842 (or 61826 counting only the distinct ones).
The product of its (nonzero) digits is 14929920, while the sum is 54.
The spelling of 142823336564160 in words is "one hundred forty-two trillion, eight hundred twenty-three billion, three hundred thirty-six million, five hundred sixty-four thousand, one hundred sixty".
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