| Base | Representation |
|---|---|
| bin | 10010101000110001000011… |
| … | …10101101110000100000000 |
| 3 | 12101002221122212221201000000 |
| 4 | 21110120201311232010000 |
| 5 | 20332431440242400424 |
| 6 | 223055221444000000 |
| 7 | 11426635361252100 |
| oct | 1124304165560400 |
| 9 | 171087585851000 |
| 10 | 40983145668864 |
| 11 | 12070944335583 |
| 12 | 471a984690000 |
| 13 | 19b3903ab35a9 |
| 14 | a19848321200 |
| 15 | 4b10eb9823c9 |
| hex | 254621d6e100 |
40983145668864 has 1701 divisors, whose sum is σ = 149819740431543. Its totient is φ = 11150822817792.
The previous prime is 40983145668859. The next prime is 40983145668929. The reversal of 40983145668864 is 46886654138904.
It is a happy number.
The square root of 40983145668864 is 6401808.
It is a perfect power (a square), and thus also a powerful number.
40983145668864 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 31 + 456 + 6 + 88 + 64 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 347722502400 + 40635423166464 = 589680^2 + 6374592^2 .
It is a tau number, because it is divible by the number of its divisors (1701).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 40983145668792 and 40983145668801.
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 188 ways as a sum of consecutive naturals, for example, 561412954332 + ... + 561412954404.
Almost surely, 240983145668864 is an apocalyptic number.
40983145668864 is the 6401808-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 40983145668864
40983145668864 is an abundant number, since it is smaller than the sum of its proper divisors (108836594762679).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40983145668864 is an frugal number, since it uses more digits than its factorization.
40983145668864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 252 (or 114 counting only the distinct ones).
The product of its (nonzero) digits is 955514880, while the sum is 72.
The spelling of 40983145668864 in words is "forty trillion, nine hundred eighty-three billion, one hundred forty-five million, six hundred sixty-eight thousand, eight hundred sixty-four".
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