| Base | Representation |
|---|---|
| bin | 10010010000100111111111… |
| … | …10011100100011101010000 |
| 3 | 12021011122120121222002121220 |
| 4 | 21020103333303210131100 |
| 5 | 20230334131333214020 |
| 6 | 221222155203045040 |
| 7 | 11313001531321410 |
| oct | 1110237763443520 |
| 9 | 167148517862556 |
| 10 | 40153645991760 |
| 11 | 1188107a3a4854 |
| 12 | 4606066970780 |
| 13 | 195361b30aba2 |
| 14 | 9cb63818c640 |
| 15 | 49974d945240 |
| hex | 2484ffce4750 |
40153645991760 has 640 divisors, whose sum is σ = 155794066636800. Its totient is φ = 8348161812480.
The previous prime is 40153645991689. The next prime is 40153645991783. The reversal of 40153645991760 is 6719954635104.
It is a happy number.
40153645991760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×401536459917602 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (60).
It is a junction number, because it is equal to n+sod(n) for n = 40153645991694 and 40153645991703.
It is a congruent number.
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 127 ways as a sum of consecutive naturals, for example, 125509281 + ... + 125828799.
It is an arithmetic number, because the mean of its divisors is an integer number (243428229120).
Almost surely, 240153645991760 is an apocalyptic number.
40153645991760 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 40153645991760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77897033318400).
40153645991760 is an abundant number, since it is smaller than the sum of its proper divisors (115640420645040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40153645991760 is a wasteful number, since it uses less digits than its factorization.
40153645991760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 319719 (or 319713 counting only the distinct ones).
The product of its (nonzero) digits is 24494400, while the sum is 60.
The spelling of 40153645991760 in words is "forty trillion, one hundred fifty-three billion, six hundred forty-five million, nine hundred ninety-one thousand, seven hundred sixty".
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