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4114123332 = 2231131399577
BaseRepresentation
bin1111010100111000…
…1000101001000100
3101121201110010020020
43311032020221010
531411203421312
61520123535140
7203644320444
oct36516105104
911551403206
104114123332
111821351830
1296998a4b0
1350746b807
142b0580124
151912b978c
hexf5388a44

4114123332 has 48 divisors (see below), whose sum is σ = 10505877312. Its totient is φ = 1242708480.

The previous prime is 4114123327. The next prime is 4114123339. The reversal of 4114123332 is 2333214114.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4114123339) 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, 8473 + ... + 91104.

It is an arithmetic number, because the mean of its divisors is an integer number (218872444).

Almost surely, 24114123332 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 4114123332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252938656).

4114123332 is an abundant number, since it is smaller than the sum of its proper divisors (6391753980).

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

4114123332 is a wasteful number, since it uses less digits than its factorization.

4114123332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99908 (or 99906 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 4114123332 is about 64141.4322571612. The cubic root of 4114123332 is about 1602.3563369482.

Adding to 4114123332 its reverse (2333214114), we get a palindrome (6447337446).

The spelling of 4114123332 in words is "four billion, one hundred fourteen million, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 313 626 939 1252 1878 3443 3756 6886 10329 13772 20658 41316 99577 199154 298731 398308 597462 1095347 1194924 2190694 3286041 4381388 6572082 13144164 31167601 62335202 93502803 124670404 187005606 342843611 374011212 685687222 1028530833 1371374444 2057061666 4114123332