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4331113424 = 2411431633511
BaseRepresentation
bin1000000100010011…
…11000101111010000
3102011211202100200022
410002021320233100
532332231112144
61553434443012
7212220566561
oct40211705720
912154670608
104331113424
111922889690
12a0a593468
135403c4211
142d1306168
151a537ccee
hex102278bd0

4331113424 has 80 divisors (see below), whose sum is σ = 9427444224. Its totient is φ = 1910563200.

The previous prime is 4331113393. The next prime is 4331113427. The reversal of 4331113424 is 4243111334.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4331113393 and 4331113402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331113427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1231829 + ... + 1235339.

Almost surely, 24331113424 is an apocalyptic number.

4331113424 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 4331113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713722112).

4331113424 is an abundant number, since it is smaller than the sum of its proper divisors (5096330800).

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

4331113424 is a wasteful number, since it uses less digits than its factorization.

4331113424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3730 counting only the distinct ones).

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

The square root of 4331113424 is about 65811.1952786150. The cubic root of 4331113424 is about 1630.0459700737.

Adding to 4331113424 its reverse (4243111334), we get a palindrome (8574224758).

The spelling of 4331113424 in words is "four billion, three hundred thirty-one million, one hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 163 172 176 326 344 473 652 688 946 1304 1793 1892 2608 3511 3586 3784 7009 7022 7172 7568 14018 14044 14344 28036 28088 28688 38621 56072 56176 77099 77242 112144 150973 154198 154484 301946 308396 308968 572293 603892 616792 617936 1144586 1207784 1233584 1660703 2289172 2415568 3321406 4578344 6295223 6642812 9156688 12590446 13285624 24608599 25180892 26571248 49217198 50361784 98434396 100723568 196868792 270694589 393737584 541389178 1082778356 2165556712 4331113424