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2413441104 = 2431912892053
BaseRepresentation
bin1000111111011010…
…0011000001010000
320020012022111210120
42033312203001100
514420320103404
61035252230240
7113543624304
oct21766430120
96205274716
102413441104
111029363028
1257430b380
132c6013879
1418c75bd04
15e1d2d9d9
hex8fda3050

2413441104 has 80 divisors (see below), whose sum is σ = 6571156800. Its totient is φ = 761177088.

The previous prime is 2413441087. The next prime is 2413441133. The reversal of 2413441104 is 4011443142.

It is a super-3 number, since 3×24134411043 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1174542 + ... + 1176594.

It is an arithmetic number, because the mean of its divisors is an integer number (82139460).

Almost surely, 22413441104 is an apocalyptic number.

2413441104 is a gapful number since it is divisible by the number (24) 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 2413441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285578400).

2413441104 is an abundant number, since it is smaller than the sum of its proper divisors (4157715696).

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

2413441104 is a wasteful number, since it uses less digits than its factorization.

2413441104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2413441104 is about 49126.7860133349. The cubic root of 2413441104 is about 1341.3606702973.

Adding to 2413441104 its reverse (4011443142), we get a palindrome (6424884246).

The spelling of 2413441104 in words is "two billion, four hundred thirteen million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1289 2053 2578 3867 4106 5156 6159 7734 8212 10312 12318 15468 16424 20624 24491 24636 30936 32848 39007 48982 49272 61872 73473 78014 97964 98544 117021 146946 156028 195928 234042 293892 312056 391856 468084 587784 624112 936168 1175568 1872336 2646317 5292634 7938951 10585268 15877902 21170536 31755804 42341072 50280023 63511608 100560046 127023216 150840069 201120092 301680138 402240184 603360276 804480368 1206720552 2413441104