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4416230104 = 2311137154371
BaseRepresentation
bin1000001110011101…
…00101001011011000
3102101202220201210221
410013032211023120
533021023330404
62010115045424
7214303223266
oct40716451330
912352821727
104416230104
111966935050
12a32ba0874
13554c26510
142dc741436
151aca92954
hex1073a52d8

4416230104 has 64 divisors (see below), whose sum is σ = 9865255680. Its totient is φ = 1826832000.

The previous prime is 4416230101. The next prime is 4416230123. The reversal of 4416230104 is 4010326144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416230101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54039 + ... + 108409.

It is an arithmetic number, because the mean of its divisors is an integer number (154144620).

Almost surely, 24416230104 is an apocalyptic number.

4416230104 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 4416230104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932627840).

4416230104 is an abundant number, since it is smaller than the sum of its proper divisors (5449025576).

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

4416230104 is a wasteful number, since it uses less digits than its factorization.

4416230104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54472 (or 54468 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4416230104 is about 66454.7222099378. The cubic root of 4416230104 is about 1640.6548673621.

Adding to 4416230104 its reverse (4010326144), we get a palindrome (8426556248).

The spelling of 4416230104 in words is "four billion, four hundred sixteen million, two hundred thirty thousand, one hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 71 88 104 142 143 284 286 568 572 781 923 1144 1562 1846 3124 3692 6248 7384 10153 20306 40612 54371 81224 108742 217484 434968 598081 706823 1196162 1413646 2392324 2827292 3860341 4784648 5654584 7720682 7775053 15441364 15550106 30882728 31100212 42463751 50184433 62200424 84927502 100368866 169855004 200737732 339710008 401475464 552028763 1104057526 2208115052 4416230104