| Base | Representation |
|---|---|
| bin | 10010010000010110010011… |
| … | …11000010001010111000000 |
| 3 | 12021010202001221001210112021 |
| 4 | 21020023021320101113000 |
| 5 | 20230210210214220000 |
| 6 | 221213545111211224 |
| 7 | 11312214331044550 |
| oct | 1110131170212700 |
| 9 | 167122057053467 |
| 10 | 40144151320000 |
| 11 | 11878047956392 |
| 12 | 4604257076b14 |
| 13 | 195276721cb10 |
| 14 | 9cadb71ab160 |
| 15 | 49939510411a |
| hex | 2482c9e115c0 |
40144151320000 has 1120 divisors, whose sum is σ = 128194991971200. Its totient is φ = 12126191616000.
The previous prime is 40144151319973. The next prime is 40144151320033. The reversal of 40144151320000 is 2315144104.
It is a tau number, because it is divible by the number of its divisors (1120).
It is a super-2 number, since 2×401441513200002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9394837864 + ... + 9394842136.
It is an arithmetic number, because the mean of its divisors is an integer number (114459814260).
Almost surely, 240144151320000 is an apocalyptic number.
40144151320000 is a gapful number since it is divisible by the number (40) 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 40144151320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64097495985600).
40144151320000 is an abundant number, since it is smaller than the sum of its proper divisors (88050840651200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40144151320000 is a wasteful number, since it uses less digits than its factorization.
40144151320000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4443 (or 4418 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 25.
Adding to 40144151320000 its reverse (2315144104), we get a palindrome (40146466464104).
The spelling of 40144151320000 in words is "forty trillion, one hundred forty-four billion, one hundred fifty-one million, three hundred twenty thousand".
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