Search a number
-
+
4114242020 = 22571072691021
BaseRepresentation
bin1111010100111010…
…0101100111100100
3101121201200011001002
43311032211213210
531411221221040
61520130252432
7203645323460
oct36516454744
911551604032
104114242020
111821422a19
12969a27118
135074b0845
142b05b14a0
151912dea15
hexf53a59e4

4114242020 has 96 divisors (see below), whose sum is σ = 10013310720. Its totient is φ = 1390855680.

The previous prime is 4114242019. The next prime is 4114242031. The reversal of 4114242020 is 202424114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4114241983 and 4114242001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4029110 + ... + 4030130.

It is an arithmetic number, because the mean of its divisors is an integer number (104305320).

Almost surely, 24114242020 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 4114242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006655360).

4114242020 is an abundant number, since it is smaller than the sum of its proper divisors (5899068700).

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

4114242020 is a wasteful number, since it uses less digits than its factorization.

4114242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1411 counting only the distinct ones).

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

The square root of 4114242020 is about 64142.3574558965. The cubic root of 4114242020 is about 1602.3717455481.

Adding to 4114242020 its reverse (202424114), we get a palindrome (4316666134).

The spelling of 4114242020 in words is "four billion, one hundred fourteen million, two hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 269 428 535 538 749 1021 1070 1076 1345 1498 1883 2042 2140 2690 2996 3745 3766 4084 5105 5380 7147 7490 7532 9415 10210 14294 14980 18830 20420 28588 28783 35735 37660 57566 71470 109247 115132 142940 143915 201481 218494 274649 287830 402962 436988 546235 549298 575660 764729 805924 1007405 1092470 1098596 1373245 1529458 1922543 2014810 2184940 2746490 3058916 3823645 3845086 4029620 5492980 7647290 7690172 9612715 15294580 19225430 29387443 38450860 58774886 117549772 146937215 205712101 293874430 411424202 587748860 822848404 1028560505 2057121010 4114242020