| Base | Representation |
|---|---|
| bin | 100101011000011110… |
| … | …000101001100000000 |
| 3 | 10211121100120202210000 |
| 4 | 211120132011030000 |
| 5 | 1124201040024430 |
| 6 | 30234541440000 |
| 7 | 2620452516333 |
| oct | 453036051400 |
| 9 | 124540522700 |
| 10 | 40138986240 |
| 11 | 16028458501 |
| 12 | 7942570000 |
| 13 | 3a28ac6342 |
| 14 | 1d2ac2a61a |
| 15 | 109dcdce60 |
| hex | 958785300 |
40138986240 has 360 divisors, whose sum is σ = 144105801840. Its totient is φ = 10667925504.
The previous prime is 40138986233. The next prime is 40138986241. The reversal of 40138986240 is 4268983104.
It is a happy number.
40138986240 is a `hidden beast` number, since 4 + 0 + 13 + 8 + 9 + 8 + 624 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×401389862402 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40138986241) 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 39 ways as a sum of consecutive naturals, for example, 48418146 + ... + 48418974.
It is an arithmetic number, because the mean of its divisors is an integer number (400293894).
Almost surely, 240138986240 is an apocalyptic number.
40138986240 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 40138986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72052900920).
40138986240 is an abundant number, since it is smaller than the sum of its proper divisors (103966815600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40138986240 is an equidigital number, since it uses as much as digits as its factorization.
40138986240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1329 (or 1306 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 45.
The spelling of 40138986240 in words is "forty billion, one hundred thirty-eight million, nine hundred eighty-six thousand, two hundred forty".
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