Base | Representation |
---|---|
bin | 100000110001001110100110… |
… | …100011110110000000101000 |
3 | 200220021210000000020021021101 |
4 | 200301032212203312000220 |
5 | 122342232111020001100 |
6 | 1230304001411051144 |
7 | 42233233260465643 |
oct | 4061164643660050 |
9 | 626253000207241 |
10 | 144120422031400 |
11 | 41a15145030411 |
12 | 141b76058a0ab4 |
13 | 6255660c799c9 |
14 | 2783673a30a5a |
15 | 119dd8251386a |
hex | 8313a68f6028 |
144120422031400 has 96 divisors (see below), whose sum is σ = 355085991044280. Its totient is φ = 54211921920000.
The previous prime is 144120422031359. The next prime is 144120422031401. The reversal of 144120422031400 is 4130224021441.
It can be written as a sum of positive squares in 12 ways, for example, as 21205638181764 + 122914783849636 = 4604958^2 + 11086694^2 .
It is not an unprimeable number, because it can be changed into a prime (144120422031401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13563711 + ... + 21730510.
Almost surely, 2144120422031400 is an apocalyptic number.
144120422031400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
144120422031400 is an abundant number, since it is smaller than the sum of its proper divisors (210965569012880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144120422031400 is a wasteful number, since it uses less digits than its factorization.
144120422031400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35295455 (or 35295446 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 28.
Adding to 144120422031400 its reverse (4130224021441), we get a palindrome (148250646052841).
The spelling of 144120422031400 in words is "one hundred forty-four trillion, one hundred twenty billion, four hundred twenty-two million, thirty-one thousand, four hundred".
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