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4100424104 = 237413894591
BaseRepresentation
bin1111010001100111…
…1000000110101000
3101120202200010102102
43310121320012220
531344202032404
61514514152532
7203420013140
oct36431700650
911522603372
104100424104
111814645357
12965282748
1350468326a
142ac815920
1518eeb071e
hexf46781a8

4100424104 has 64 divisors (see below), whose sum is σ = 9026035200. Its totient is φ = 1709683200.

The previous prime is 4100424091. The next prime is 4100424113. The reversal of 4100424104 is 4014240014.

It is a happy 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, 890849 + ... + 895439.

It is an arithmetic number, because the mean of its divisors is an integer number (141031800).

Almost surely, 24100424104 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 4100424104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513017600).

4100424104 is an abundant number, since it is smaller than the sum of its proper divisors (4925611096).

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

4100424104 is a wasteful number, since it uses less digits than its factorization.

4100424104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4100424104 is about 64034.5539845481. The cubic root of 4100424104 is about 1600.5758479329.

Adding to 4100424104 its reverse (4014240014), we get a palindrome (8114664118).

The spelling of 4100424104 in words is "four billion, one hundred million, four hundred twenty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 389 574 778 1148 1556 2296 2723 3112 4591 5446 9182 10892 15949 18364 21784 31898 32137 36728 63796 64274 111643 127592 128548 188231 223286 257096 376462 446572 752924 893144 1317617 1505848 1785899 2635234 3571798 5270468 7143596 10540936 12501293 14287192 25002586 50005172 73221859 100010344 146443718 292887436 512553013 585774872 1025106026 2050212052 4100424104