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4113441332 = 22711137971289
BaseRepresentation
bin1111010100101110…
…0010001000110100
3101121200011110200222
43311023202020310
531411020110312
61520101153512
7203635450220
oct36513421064
911550143628
104113441332
111820a263a0
129696bb898
13507290270
142b0443780
151911d2672
hexf52e2234

4113441332 has 96 divisors (see below), whose sum is σ = 9684783360. Its totient is φ = 1476357120.

The previous prime is 4113441331. The next prime is 4113441341. The reversal of 4113441332 is 2331443114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113441331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3190544 + ... + 3191832.

It is an arithmetic number, because the mean of its divisors is an integer number (100883160).

Almost surely, 24113441332 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 4113441332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842391680).

4113441332 is an abundant number, since it is smaller than the sum of its proper divisors (5571342028).

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

4113441332 is a wasteful number, since it uses less digits than its factorization.

4113441332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2119 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 4113441332 is about 64136.1156603672. The cubic root of 4113441332 is about 1602.2677909548.

Adding to 4113441332 its reverse (2331443114), we get a palindrome (6444884446).

The spelling of 4113441332 in words is "four billion, one hundred thirteen million, four hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 797 1001 1289 1594 2002 2578 3188 4004 5156 5579 8767 9023 10361 11158 14179 16757 17534 18046 20722 22316 28358 33514 35068 36092 41444 56716 61369 67028 72527 99253 113971 117299 122738 145054 184327 198506 227942 234598 245476 290108 368654 397012 455884 469196 737308 797797 1027333 1290289 1595594 2054666 2580578 3191188 4109332 5161156 7191331 11300663 13355329 14382662 22601326 26710658 28765324 45202652 53421316 79104641 93487303 146908619 158209282 186974606 293817238 316418564 373949212 587634476 1028360333 2056720666 4113441332