Base | Representation |
---|---|
bin | 10010010101001101101100… |
… | …01001111110010111001000 |
3 | 12021201201120111020000011020 |
4 | 21022212312021332113020 |
5 | 20240430042440003000 |
6 | 221422433333032440 |
7 | 11330253122425413 |
oct | 1112466611762710 |
9 | 167651514200136 |
10 | 40311324141000 |
11 | 11931a33622090 |
12 | 4630730a85720 |
13 | 1965459521a03 |
14 | 9d5115586b7a |
15 | 49d8cb646ba0 |
hex | 24a9b627e5c8 |
40311324141000 has 512 divisors, whose sum is σ = 150705872179200. Its totient is φ = 8855573760000.
The previous prime is 40311324140951. The next prime is 40311324141139. The reversal of 40311324141000 is 14142311304.
40311324141000 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-3 number, since 3×403113241410003 (a number of 42 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
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, 13023340 + ... + 15818660.
It is an arithmetic number, because the mean of its divisors is an integer number (294347406600).
Almost surely, 240311324141000 is an apocalyptic number.
40311324141000 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 40311324141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75352936089600).
40311324141000 is an abundant number, since it is smaller than the sum of its proper divisors (110394548038200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40311324141000 is a wasteful number, since it uses less digits than its factorization.
40311324141000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2795398 (or 2795384 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
Adding to 40311324141000 its reverse (14142311304), we get a palindrome (40325466452304).
The spelling of 40311324141000 in words is "forty trillion, three hundred eleven billion, three hundred twenty-four million, one hundred forty-one thousand".
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