Base | Representation |
---|---|
bin | 10010101000110010000010… |
… | …00010001111000000000000 |
3 | 12101010000000100202212121200 |
4 | 21110121001002033000000 |
5 | 20332434023233340300 |
6 | 223055345421421200 |
7 | 11426654345000562 |
oct | 1124310102170000 |
9 | 171100010685550 |
10 | 40983669043200 |
11 | 12071092807454 |
12 | 471aaaba0a800 |
13 | 19b3988360950 |
14 | a19897a3d332 |
15 | 4b112c8b6200 |
hex | 25464108f000 |
40983669043200 has 3744 divisors, whose sum is σ = 175685705395200. Its totient is φ = 9042992824320.
The previous prime is 40983669043183. The next prime is 40983669043201. The reversal of 40983669043200 is 234096638904.
40983669043200 is a `hidden beast` number, since 4 + 0 + 98 + 36 + 6 + 90 + 432 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3744).
It is a super-2 number, since 2×409836690432002 (a number of 28 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40983669043201) 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 287 ways as a sum of consecutive naturals, for example, 518780620761 + ... + 518780620839.
It is an arithmetic number, because the mean of its divisors is an integer number (46924600800).
Almost surely, 240983669043200 is an apocalyptic number.
40983669043200 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 40983669043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87842852697600).
40983669043200 is an abundant number, since it is smaller than the sum of its proper divisors (134702036352000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40983669043200 is a wasteful number, since it uses less digits than its factorization.
40983669043200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 247 (or 217 counting only the distinct ones).
The product of its (nonzero) digits is 6718464, while the sum is 54.
The spelling of 40983669043200 in words is "forty trillion, nine hundred eighty-three billion, six hundred sixty-nine million, forty-three thousand, two hundred".
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