Search a number
-
+
4141145424 = 2431319933349
BaseRepresentation
bin1111011011010100…
…1101110101010000
3101200121021222120110
43312311031311100
531440113123144
61522531041320
7204423104163
oct36665156520
911617258513
104141145424
111835628939
12976a40240
1350cc40210
142b3db5ada
151938560b9
hexf6d4dd50

4141145424 has 80 divisors (see below), whose sum is σ = 11579120000. Its totient is φ = 1267757568.

The previous prime is 4141145389. The next prime is 4141145453. The reversal of 4141145424 is 4245411414.

It is a super-2 number, since 2×41411454242 = 34298170845432279552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4141145391 and 4141145400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107502 + ... + 140850.

It is an arithmetic number, because the mean of its divisors is an integer number (144739000).

Almost surely, 24141145424 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 4141145424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789560000).

4141145424 is an abundant number, since it is smaller than the sum of its proper divisors (7437974576).

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

4141145424 is a wasteful number, since it uses less digits than its factorization.

4141145424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33572 (or 33566 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 4141145424 is about 64351.7320979008. The cubic root of 4141145424 is about 1605.8568451105.

Adding to 4141145424 its reverse (4245411414), we get a palindrome (8386556838).

The spelling of 4141145424 in words is "four billion, one hundred forty-one million, one hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 199 208 312 398 597 624 796 1194 1592 2388 2587 3184 4776 5174 7761 9552 10348 15522 20696 31044 33349 41392 62088 66698 100047 124176 133396 200094 266792 400188 433537 533584 800376 867074 1300611 1600752 1734148 2601222 3468296 5202444 6636451 6936592 10404888 13272902 19909353 20809776 26545804 39818706 53091608 79637412 86273863 106183216 159274824 172547726 258821589 318549648 345095452 517643178 690190904 1035286356 1380381808 2070572712 4141145424