Base | Representation |
---|---|
bin | 100000110010110100111110… |
… | …001111110101000110000000 |
3 | 200220200021201110100201010100 |
4 | 200302310332033311012000 |
5 | 122401032214310312000 |
6 | 1230430300510202400 |
7 | 42244204210261314 |
oct | 4062647617650600 |
9 | 626607643321110 |
10 | 144230341104000 |
11 | 41a57820526578 |
12 | 142149814b3400 |
13 | 6262b2a780378 |
14 | 2788b00189b44 |
15 | 11a1b67472a00 |
hex | 832d3e3f5180 |
144230341104000 has 1536 divisors, whose sum is σ = 553430535315840. Its totient is φ = 35871090278400.
The previous prime is 144230341103887. The next prime is 144230341104061. The reversal of 144230341104000 is 401143032441.
144230341104000 is a `hidden beast` number, since 1 + 44 + 230 + 341 + 10 + 40 + 0 + 0 = 666.
It is a super-3 number, since 3×1442303411040003 (a number of 43 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153927791532 + ... + 153927792468.
Almost surely, 2144230341104000 is an apocalyptic number.
144230341104000 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 144230341104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276715267657920).
144230341104000 is an abundant number, since it is smaller than the sum of its proper divisors (409200194211840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144230341104000 is a wasteful number, since it uses less digits than its factorization.
144230341104000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1493 (or 1468 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 144230341104000 its reverse (401143032441), we get a palindrome (144631484136441).
The spelling of 144230341104000 in words is "one hundred forty-four trillion, two hundred thirty billion, three hundred forty-one million, one hundred four thousand".
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