Base | Representation |
---|---|
bin | 110110111011000111100010… |
… | …011111110010011111000000 |
3 | 1011200021121222112111222102112 |
4 | 312323013202133302133000 |
5 | 223130132322223202100 |
6 | 2213425440204434452 |
7 | 101610631011306530 |
oct | 6673074237623700 |
9 | 1150247875458375 |
10 | 241557055678400 |
11 | 6aa70854607430 |
12 | 23113461248a28 |
13 | a4a296a70b797 |
14 | 43915d118b4c0 |
15 | 1cdd6c0161b35 |
hex | dbb1e27f27c0 |
241557055678400 has 1344 divisors, whose sum is σ = 777214639079424. Its totient is φ = 71702820864000.
The previous prime is 241557055678397. The next prime is 241557055678403. The reversal of 241557055678400 is 4876550755142.
It is an interprime number because it is at equal distance from previous prime (241557055678397) and next prime (241557055678403).
It is a super-2 number, since 2×2415570556784002 (a number of 30 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 241557055678400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (241557055678403) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65694057362 + ... + 65694061038.
It is an arithmetic number, because the mean of its divisors is an integer number (578284701696).
Almost surely, 2241557055678400 is an apocalyptic number.
241557055678400 is a gapful number since it is divisible by the number (20) 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 241557055678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388607319539712).
241557055678400 is an abundant number, since it is smaller than the sum of its proper divisors (535657583401024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241557055678400 is a wasteful number, since it uses less digits than its factorization.
241557055678400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4018 (or 4003 counting only the distinct ones).
The product of its (nonzero) digits is 47040000, while the sum is 59.
The spelling of 241557055678400 in words is "two hundred forty-one trillion, five hundred fifty-seven billion, fifty-five million, six hundred seventy-eight thousand, four hundred".
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