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4113113340 = 2235727136137
BaseRepresentation
bin1111010100101001…
…0010000011111100
3101121122112210210010
43311022102003330
531410424111330
61520050143220
7203632613040
oct36512220374
911548483703
104113113340
111820821a26
12969581b10
135071a6b9b
142b039a020
1519116a3b0
hexf52920fc

4113113340 has 96 divisors (see below), whose sum is σ = 13210896384. Its totient is φ = 936645120.

The previous prime is 4113113327. The next prime is 4113113341. The reversal of 4113113340 is 433113114.

4113113340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113113341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95752 + ... + 131888.

It is an arithmetic number, because the mean of its divisors is an integer number (137613504).

Almost surely, 24113113340 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 4113113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605448192).

4113113340 is an abundant number, since it is smaller than the sum of its proper divisors (9097783044).

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

4113113340 is a wasteful number, since it uses less digits than its factorization.

4113113340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36427 (or 36425 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 4113113340 is about 64133.5586101380. The cubic root of 4113113340 is about 1602.2252033383.

Adding to 4113113340 its reverse (433113114), we get a palindrome (4546226454).

The spelling of 4113113340 in words is "four billion, one hundred thirteen million, one hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 271 420 542 813 1084 1355 1626 1897 2710 3252 3794 4065 5420 5691 7588 8130 9485 11382 16260 18970 22764 28455 36137 37940 56910 72274 108411 113820 144548 180685 216822 252959 361370 433644 505918 542055 722740 758877 1011836 1084110 1264795 1517754 2168220 2529590 3035508 3794385 5059180 7588770 9793127 15177540 19586254 29379381 39172508 48965635 58758762 68551889 97931270 117517524 137103778 146896905 195862540 205655667 274207556 293793810 342759445 411311334 587587620 685518890 822622668 1028278335 1371037780 2056556670 4113113340