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4113301400 = 23521312712457
BaseRepresentation
bin1111010100101011…
…1111111110011000
3101121122220100202022
43311022333332120
531411001121100
61520054154012
7203634325235
oct36512777630
911548810668
104113301400
11182094024a
12969652908
13507241670
142b040878c
151911a5e85
hexf52bff98

4113301400 has 96 divisors (see below), whose sum is σ = 10381002240. Its totient is φ = 1506677760.

The previous prime is 4113301399. The next prime is 4113301403. The reversal of 4113301400 is 41033114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113301403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323972 + ... + 336428.

It is an arithmetic number, because the mean of its divisors is an integer number (108135440).

Almost surely, 24113301400 is an apocalyptic number.

4113301400 is a gapful number since it is divisible by the number (40) 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 4113301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190501120).

4113301400 is an abundant number, since it is smaller than the sum of its proper divisors (6267700840).

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

4113301400 is a wasteful number, since it uses less digits than its factorization.

4113301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12613 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4113301400 is about 64135.0247524705. The cubic root of 4113301400 is about 1602.2496219765.

Adding to 4113301400 its reverse (41033114), we get a palindrome (4154334514).

The spelling of 4113301400 in words is "four billion, one hundred thirteen million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 127 130 200 254 260 325 508 520 635 650 1016 1270 1300 1651 2540 2600 3175 3302 5080 6350 6604 8255 12457 12700 13208 16510 24914 25400 33020 41275 49828 62285 66040 82550 99656 124570 161941 165100 249140 311425 323882 330200 498280 622850 647764 809705 1245700 1295528 1582039 1619410 2491400 3164078 3238820 4048525 6328156 6477640 7910195 8097050 12656312 15820390 16194100 20566507 31640780 32388200 39550975 41133014 63281560 79101950 82266028 102832535 158203900 164532056 205665070 316407800 411330140 514162675 822660280 1028325350 2056650700 4113301400