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4141020224 = 26116787793
BaseRepresentation
bin1111011011010010…
…1111010001000000
3101200121001121211102
43312310233101000
531440100121344
61522524233532
7204422043155
oct36664572100
911617047742
104141020224
111835552870
1297699b8a8
1350cbc8233
142b3d8222c
1519382de4e
hexf6d2f440

4141020224 has 56 divisors (see below), whose sum is σ = 9098267808. Its totient is φ = 1854167040.

The previous prime is 4141020217. The next prime is 4141020251. The reversal of 4141020224 is 4220201414.

4141020224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4141020196 and 4141020205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3272 + ... + 91064.

It is an arithmetic number, because the mean of its divisors is an integer number (162469068).

Almost surely, 24141020224 is an apocalyptic number.

4141020224 is a gapful number since it is divisible by the number (44) 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 4141020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549133904).

4141020224 is an abundant number, since it is smaller than the sum of its proper divisors (4957247584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4141020224 is a wasteful number, since it uses less digits than its factorization.

4141020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87883 (or 87873 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4141020224 is about 64350.7593117595. The cubic root of 4141020224 is about 1605.8406615604.

Adding to 4141020224 its reverse (4220201414), we get a palindrome (8361221638).

The spelling of 4141020224 in words is "four billion, one hundred forty-one million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 134 176 268 352 536 704 737 1072 1474 2144 2948 4288 5896 11792 23584 47168 87793 175586 351172 702344 965723 1404688 1931446 2809376 3862892 5618752 5882131 7725784 11764262 15451568 23528524 30903136 47057048 61806272 64703441 94114096 129406882 188228192 258813764 376456384 517627528 1035255056 2070510112 4141020224