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4040110404 = 22321180912611
BaseRepresentation
bin1111000011001111…
…0011000101000100
3101102120011212120200
43300303303011010
531233232013104
61504521330500
7202055241351
oct36063630504
911376155520
104040110404
11179359a820
12949036a30
134c5026595
142a47d5628
15189a49b39
hexf0cf3144

4040110404 has 72 divisors (see below), whose sum is σ = 11155566240. Its totient is φ = 1222665600.

The previous prime is 4040110363. The next prime is 4040110423.

4040110404 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314059 + ... + 326669.

It is an arithmetic number, because the mean of its divisors is an integer number (154938420).

Almost surely, 24040110404 is an apocalyptic number.

4040110404 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 4040110404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577783120).

4040110404 is an abundant number, since it is smaller than the sum of its proper divisors (7115455836).

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

4040110404 is a wasteful number, since it uses less digits than its factorization.

4040110404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13441 (or 13436 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4040110404 is about 63561.8628109655. The cubic root of 4040110404 is about 1592.6893562846.

It can be divided in two parts, 40401 and 10404, that multiplied together give a square (420332004 = 205022).

The spelling of 4040110404 in words is "four billion, forty million, one hundred ten thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 809 1618 2427 3236 4854 7281 8899 9708 12611 14562 17798 25222 26697 29124 35596 37833 50444 53394 75666 80091 106788 113499 138721 151332 160182 226998 277442 320364 416163 453996 554884 832326 1248489 1664652 2496978 4993956 10202299 20404598 30606897 40809196 61213794 91820691 112225289 122427588 183641382 224450578 336675867 367282764 448901156 673351734 1010027601 1346703468 2020055202 4040110404