| Base | Representation |
|---|---|
| bin | 101101001100000011… |
| … | …0111101010101100000 |
| 3 | 100021110222012211112100 |
| 4 | 1122120012331111200 |
| 5 | 3042220024211230 |
| 6 | 112325150330400 |
| 7 | 10003525641153 |
| oct | 1323006752540 |
| 9 | 307428184470 |
| 10 | 97041241440 |
| 11 | 38178283aa0 |
| 12 | 16982ab9a00 |
| 13 | 91c6837b30 |
| 14 | 49a8111c9a |
| 15 | 27ce5e0660 |
| hex | 16981bd560 |
97041241440 has 1152 divisors, whose sum is σ = 433910131200. Its totient is φ = 19349176320.
The previous prime is 97041241399. The next prime is 97041241447. The reversal of 97041241440 is 4414214079.
97041241440 is a `hidden beast` number, since 97 + 0 + 4 + 124 + 1 + 440 = 666.
It is a super-3 number, since 3×970412414403 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 97041241395 and 97041241404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (97041241447) by changing a digit.
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 191 ways as a sum of consecutive naturals, for example, 66511431 + ... + 66512889.
It is an arithmetic number, because the mean of its divisors is an integer number (376658100).
Almost surely, 297041241440 is an apocalyptic number.
97041241440 is a gapful number since it is divisible by the number (90) 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 97041241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216955065600).
97041241440 is an abundant number, since it is smaller than the sum of its proper divisors (336868889760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97041241440 is a wasteful number, since it uses less digits than its factorization.
97041241440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1540 (or 1529 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The spelling of 97041241440 in words is "ninety-seven billion, forty-one million, two hundred forty-one thousand, four hundred forty".
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