| Base | Representation |
|---|---|
| bin | 10001001011110… |
| … | …01001010100000 |
| 3 | 101001020122021100 |
| 4 | 20211321022200 |
| 5 | 243400314300 |
| 6 | 22145354400 |
| 7 | 3400156614 |
| oct | 1045711240 |
| 9 | 331218240 |
| 10 | 144151200 |
| 11 | 74407a26 |
| 12 | 40338a00 |
| 13 | 23b3198b |
| 14 | 15205344 |
| 15 | c9c6700 |
| hex | 89792a0 |
144151200 has 108 divisors (see below), whose sum is σ = 508338558. Its totient is φ = 38438400.
The previous prime is 144151193. The next prime is 144151207. The reversal of 144151200 is 2151441.
It is an interprime number because it is at equal distance from previous prime (144151193) and next prime (144151207).
It can be written as a sum of positive squares in 3 ways, for example, as 66781584 + 77369616 = 8172^2 + 8796^2 .
It is a super-2 number, since 2×1441512002 = 41559136922880000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (144151207) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2811 + ... + 17210.
Almost surely, 2144151200 is an apocalyptic number.
144151200 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 144151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254169279).
144151200 is an abundant number, since it is smaller than the sum of its proper divisors (364187358).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144151200 is a wasteful number, since it uses less digits than its factorization.
144151200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20047 (or 20031 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 18.
The square root of 144151200 is about 12006.2983471176. The cubic root of 144151200 is about 524.3316665686.
The spelling of 144151200 in words is "one hundred forty-four million, one hundred fifty-one thousand, two hundred".
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