Base | Representation |
---|---|
bin | 100000010111100010000000… |
… | …101110001000101001100000 |
3 | 200200000221222202001220010100 |
4 | 200113202000232020221200 |
5 | 122124314112220330240 |
6 | 1222432440253502400 |
7 | 41661530411004006 |
oct | 4027420056105140 |
9 | 620027882056110 |
10 | 142354555636320 |
11 | 413a4256532375 |
12 | 13b713247a1a00 |
13 | 6157c915c9881 |
14 | 2721dd667ca76 |
15 | 116ce7e44ae30 |
hex | 817880b88a60 |
142354555636320 has 288 divisors, whose sum is σ = 490250523488544. Its totient is φ = 37612482969600.
The previous prime is 142354555636303. The next prime is 142354555636331. The reversal of 142354555636320 is 23636555453241.
142354555636320 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 5 + 4 + 5 + 556 + 3 + 63 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
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, 483293890 + ... + 483588350.
It is an arithmetic number, because the mean of its divisors is an integer number (1702258762113).
Almost surely, 2142354555636320 is an apocalyptic number.
142354555636320 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 142354555636320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245125261744272).
142354555636320 is an abundant number, since it is smaller than the sum of its proper divisors (347895967852224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142354555636320 is a wasteful number, since it uses less digits than its factorization.
142354555636320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 297566 (or 297555 counting only the distinct ones).
The product of its (nonzero) digits is 38880000, while the sum is 54.
The spelling of 142354555636320 in words is "one hundred forty-two trillion, three hundred fifty-four billion, five hundred fifty-five million, six hundred thirty-six thousand, three hundred twenty".
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