| Base | Representation |
|---|---|
| bin | 100101100110111010… |
| … | …011000100000000000 |
| 3 | 10212020020111220010000 |
| 4 | 211212322120200000 |
| 5 | 1130200102131100 |
| 6 | 30314555040000 |
| 7 | 2626454161650 |
| oct | 454672304000 |
| 9 | 125206456100 |
| 10 | 40381286400 |
| 11 | 16142202174 |
| 12 | 79ab740000 |
| 13 | 3a67071110 |
| 14 | 1d510a0360 |
| 15 | 10b5200900 |
| hex | 966e98800 |
40381286400 has 1440 divisors, whose sum is σ = 185798733120. Its totient is φ = 8440381440.
The previous prime is 40381286399. The next prime is 40381286401. The reversal of 40381286400 is 468218304.
40381286400 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 1 + 2 + 8 + 640 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (40381286399) and next prime (40381286401).
It is a tau number, because it is divible by the number of its divisors (1440).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (40381286401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 377395147 + ... + 377395253.
It is an arithmetic number, because the mean of its divisors is an integer number (129026898).
Almost surely, 240381286400 is an apocalyptic number.
40381286400 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 40381286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92899366560).
40381286400 is an abundant number, since it is smaller than the sum of its proper divisors (145417446720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40381286400 is a wasteful number, since it uses less digits than its factorization.
40381286400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 171 (or 137 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The spelling of 40381286400 in words is "forty billion, three hundred eighty-one million, two hundred eighty-six thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.068 sec. • engine limits •