| Base | Representation |
|---|---|
| bin | 10001001100101… |
| … | …00000100111000 |
| 3 | 101001110020111000 |
| 4 | 20212110010320 |
| 5 | 243412331212 |
| 6 | 22152005000 |
| 7 | 3401126160 |
| oct | 1046240470 |
| 9 | 331406430 |
| 10 | 144261432 |
| 11 | 74482827 |
| 12 | 40390760 |
| 13 | 23b6cbc3 |
| 14 | 152335a0 |
| 15 | c9e91dc |
| hex | 8994138 |
144261432 has 128 divisors (see below), whose sum is σ = 464601600. Its totient is φ = 40621824.
The previous prime is 144261427. The next prime is 144261443. The reversal of 144261432 is 234162441.
It is a happy number.
144261432 is a `hidden beast` number, since 1 + 4 + 42 + 614 + 3 + 2 = 666.
It is a super-2 number, since 2×1442614322 = 41622721525381248, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 144261396 and 144261405.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109723 + ... + 111029.
It is an arithmetic number, because the mean of its divisors is an integer number (3629700).
Almost surely, 2144261432 is an apocalyptic number.
144261432 is a gapful number since it is divisible by the number (12) 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 144261432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232300800).
144261432 is an abundant number, since it is smaller than the sum of its proper divisors (320340168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144261432 is a wasteful number, since it uses less digits than its factorization.
144261432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1402 (or 1392 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
The square root of 144261432 is about 12010.8880604225. Note that the first 3 decimals coincide. The cubic root of 144261432 is about 524.4652841448.
The spelling of 144261432 in words is "one hundred forty-four million, two hundred sixty-one thousand, four hundred thirty-two".
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