| Base | Representation |
|---|---|
| bin | 100101011001111101… |
| … | …011011000101010000 |
| 3 | 10211200002121120020000 |
| 4 | 211121331123011100 |
| 5 | 1124223434321400 |
| 6 | 30241233250000 |
| 7 | 2621205123303 |
| oct | 453175330520 |
| 9 | 124602546200 |
| 10 | 40163979600 |
| 11 | 16040579378 |
| 12 | 794aa03900 |
| 13 | 3a31037504 |
| 14 | 1d30294b3a |
| 15 | 10a10c8600 |
| hex | 959f5b150 |
40163979600 has 300 divisors, whose sum is σ = 144511701180. Its totient is φ = 10683187200.
The previous prime is 40163979599. The next prime is 40163979601. The reversal of 40163979600 is 697936104.
40163979600 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 39 + 7 + 9 + 600 = 666.
40163979600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (40163979599) and next prime (40163979601).
It can be written as a sum of positive squares in 6 ways, for example, as 10291696704 + 29872282896 = 101448^2 + 172836^2 .
It is a tau number, because it is divible by the number of its divisors (300).
It is a super-2 number, since 2×401639796002 (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 (40163979601) by changing a digit.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14935056 + ... + 14937744.
Almost surely, 240163979600 is an apocalyptic number.
40163979600 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 40163979600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72255850590).
40163979600 is an abundant number, since it is smaller than the sum of its proper divisors (104347721580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40163979600 is a wasteful number, since it uses less digits than its factorization.
40163979600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3180 (or 3160 counting only the distinct ones).
The product of its (nonzero) digits is 244944, while the sum is 45.
The spelling of 40163979600 in words is "forty billion, one hundred sixty-three million, nine hundred seventy-nine thousand, six hundred".
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