| Base | Representation |
|---|---|
| bin | 10010001111000111110011… |
| … | …01110010011111010000000 |
| 3 | 12020222201021122002111102220 |
| 4 | 21013203321232103322000 |
| 5 | 20224012401102424100 |
| 6 | 221142334555211040 |
| 7 | 11306163023461050 |
| oct | 1107437156237200 |
| 9 | 166881248074386 |
| 10 | 40102004342400 |
| 11 | 11861189aa32a0 |
| 12 | 45b8054146a80 |
| 13 | 194b7ab411c10 |
| 14 | 9c8d39805560 |
| 15 | 498229dc5aa0 |
| hex | 2478f9b93e80 |
40102004342400 has 1536 divisors, whose sum is σ = 182140962232320. Its totient is φ = 7483937587200.
The previous prime is 40102004342357. The next prime is 40102004342417. The reversal of 40102004342400 is 424340020104.
It is a happy number.
40102004342400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 355498807 + ... + 355611593.
It is an arithmetic number, because the mean of its divisors is an integer number (118581355620).
Almost surely, 240102004342400 is an apocalyptic number.
40102004342400 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 40102004342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91070481116160).
40102004342400 is an abundant number, since it is smaller than the sum of its proper divisors (142038957889920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40102004342400 is a wasteful number, since it uses less digits than its factorization.
40102004342400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 112882 (or 112865 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
Adding to 40102004342400 its reverse (424340020104), we get a palindrome (40526344362504).
It can be divided in two parts, 40102004 and 342400, that added together give a palindrome (40444404).
The spelling of 40102004342400 in words is "forty trillion, one hundred two billion, four million, three hundred forty-two thousand, four hundred".
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