| Base | Representation |
|---|---|
| bin | 10010010110111000000111… |
| … | …10010110000101000000000 |
| 3 | 12021221012001110210001001000 |
| 4 | 21023130003302300220000 |
| 5 | 20242344102040044440 |
| 6 | 221505003131412000 |
| 7 | 11334345050032260 |
| oct | 1113340362605000 |
| 9 | 167835043701030 |
| 10 | 40368461253120 |
| 11 | 11954193a79100 |
| 12 | 463b817bb4000 |
| 13 | 196a963b033b0 |
| 14 | 9d7bb5b257a0 |
| 15 | 4a012288b730 |
| hex | 24b703cb0a00 |
40368461253120 has 7680 divisors, whose sum is σ = 210658516992000. Its totient is φ = 7112215756800.
The previous prime is 40368461253119. The next prime is 40368461253139. The reversal of 40368461253120 is 2135216486304.
40368461253120 is a `hidden beast` number, since 4 + 0 + 3 + 6 + 8 + 4 + 612 + 5 + 3 + 1 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (7680).
It is a super-2 number, since 2×403684612531202 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
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 767 ways as a sum of consecutive naturals, for example, 684211207651 + ... + 684211207709.
It is an arithmetic number, because the mean of its divisors is an integer number (27429494400).
Almost surely, 240368461253120 is an apocalyptic number.
40368461253120 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 40368461253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105329258496000).
40368461253120 is an abundant number, since it is smaller than the sum of its proper divisors (170290055738880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40368461253120 is a wasteful number, since it uses less digits than its factorization.
40368461253120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 193 (or 160 counting only the distinct ones).
The product of its (nonzero) digits is 829440, while the sum is 45.
The spelling of 40368461253120 in words is "forty trillion, three hundred sixty-eight billion, four hundred sixty-one million, two hundred fifty-three thousand, one hundred twenty".
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