Search a number
-
+
4111340490 = 23459375417
BaseRepresentation
bin1111010100001110…
…0001001111001010
3101121112012201220000
43311003201033022
531410000343430
61515544143430
7203611550265
oct36503411712
911545181800
104111340490
11181a820a64
12968a67b76
13506a05c6a
142b0057cdc
15190e19e60
hexf50e13ca

4111340490 has 80 divisors (see below), whose sum is σ = 11068778952. Its totient is φ = 1094985216.

The previous prime is 4111340489. The next prime is 4111340533. The reversal of 4111340490 is 940431114.

4111340490 is a `hidden beast` number, since 41 + 1 + 134 + 0 + 490 = 666.

4111340490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1242774009 + 2868566481 = 35253^2 + 53559^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 756262 + ... + 761678.

Almost surely, 24111340490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4111340490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534389476).

4111340490 is an abundant number, since it is smaller than the sum of its proper divisors (6957438462).

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

4111340490 is a wasteful number, since it uses less digits than its factorization.

4111340490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4111340490 is about 64119.7355733787. The cubic root of 4111340490 is about 1601.9949711579.

The spelling of 4111340490 in words is "four billion, one hundred eleven million, three hundred forty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 937 1874 2811 4685 5417 5622 8433 9370 10834 14055 16251 16866 25299 27085 28110 32502 42165 48753 50598 54170 75897 81255 84330 97506 126495 146259 151794 162510 243765 252990 292518 379485 438777 487530 731295 758970 877554 1462590 2193885 4387770 5075729 10151458 15227187 25378645 30454374 45681561 50757290 76135935 91363122 137044683 152271870 228407805 274089366 411134049 456815610 685223415 822268098 1370446830 2055670245 4111340490