| Base | Representation |
|---|---|
| bin | 100110010100010000… |
| … | …011110010110000000 |
| 3 | 10221012021000210122000 |
| 4 | 212110100132112000 |
| 5 | 1133224331132344 |
| 6 | 30522252544000 |
| 7 | 2654352450060 |
| oct | 462420362600 |
| 9 | 127167023560 |
| 10 | 41142052224 |
| 11 | 164a2685859 |
| 12 | 7b82482000 |
| 13 | 3b58867c00 |
| 14 | 1dc41353a0 |
| 15 | 110bdc7a69 |
| hex | 99441e580 |
41142052224 has 768 divisors, whose sum is σ = 155898432000. Its totient is φ = 10446299136.
The previous prime is 41142052207. The next prime is 41142052241. The reversal of 41142052224 is 42225024114.
It is a happy number.
41142052224 is a `hidden beast` number, since 4 + 11 + 420 + 5 + 2 + 224 = 666.
It is an interprime number because it is at equal distance from previous prime (41142052207) and next prime (41142052241).
It is a super-3 number, since 3×411420522243 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 118564819 + ... + 118565165.
It is an arithmetic number, because the mean of its divisors is an integer number (202992750).
Almost surely, 241142052224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 41142052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77949216000).
41142052224 is an abundant number, since it is smaller than the sum of its proper divisors (114756379776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41142052224 is a wasteful number, since it uses less digits than its factorization.
41142052224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 432 (or 401 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 27.
Adding to 41142052224 its reverse (42225024114), we get a palindrome (83367076338).
The spelling of 41142052224 in words is "forty-one billion, one hundred forty-two million, fifty-two thousand, two hundred twenty-four".
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