Search a number
-
+
4100010404 = 2273738310333
BaseRepresentation
bin1111010001100001…
…0011000110100100
3101120201220002221012
43310120103012210
531344100313104
61514501241352
7203413341050
oct36430230644
911521802835
104100010404
111814392556
12965103258
13504569b79
142ac748c60
1518ee2cd6e
hexf46131a4

4100010404 has 48 divisors (see below), whose sum is σ = 8444448768. Its totient is φ = 1705027968.

The previous prime is 4100010403. The next prime is 4100010413. The reversal of 4100010404 is 4040100014.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (4100010403) 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, 391622 + ... + 401954.

It is an arithmetic number, because the mean of its divisors is an integer number (175926016).

Almost surely, 24100010404 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 4100010404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222224384).

4100010404 is an abundant number, since it is smaller than the sum of its proper divisors (4344438364).

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

4100010404 is a wasteful number, since it uses less digits than its factorization.

4100010404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10764 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4100010404 is about 64031.3236158679. The cubic root of 4100010404 is about 1600.5220176883.

Adding to 4100010404 its reverse (4040100014), we get a palindrome (8140110418).

The spelling of 4100010404 in words is "four billion, one hundred million, ten thousand, four hundred four".

Divisors: 1 2 4 7 14 28 37 74 148 259 383 518 766 1036 1532 2681 5362 10333 10724 14171 20666 28342 41332 56684 72331 99197 144662 198394 289324 382321 396788 764642 1529284 2676247 3957539 5352494 7915078 10704988 15830156 27702773 55405546 110811092 146428943 292857886 585715772 1025002601 2050005202 4100010404