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4114401132 = 22317192713917
BaseRepresentation
bin1111010100111100…
…1100011101101100
3101121201222020022010
43311033030131230
531411241314012
61520133521220
7203646555402
oct36517143554
911551866263
104114401132
111821521516
12969aa3210
135075380aa
142b0613472
15191321c3c
hexf53cc76c

4114401132 has 96 divisors (see below), whose sum is σ = 10742215680. Its totient is φ = 1218032640.

The previous prime is 4114401119. The next prime is 4114401163. The reversal of 4114401132 is 2311044114.

It is a junction number, because it is equal to n+sod(n) for n = 4114401099 and 4114401108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048438 + ... + 1052354.

It is an arithmetic number, because the mean of its divisors is an integer number (111898080).

Almost surely, 24114401132 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 4114401132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371107840).

4114401132 is an abundant number, since it is smaller than the sum of its proper divisors (6627814548).

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

4114401132 is a wasteful number, since it uses less digits than its factorization.

4114401132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4114401132 is about 64143.5977475539. The cubic root of 4114401132 is about 1602.3924017050.

Adding to 4114401132 its reverse (2311044114), we get a palindrome (6425445246).

The spelling of 4114401132 in words is "four billion, one hundred fourteen million, four hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 271 323 542 646 813 969 1084 1292 1626 1938 3252 3876 3917 4607 5149 7834 9214 10298 11751 13821 15447 15668 18428 20596 23502 27642 30894 47004 55284 61788 66589 74423 87533 133178 148846 175066 199767 223269 262599 266356 297692 350132 399534 446538 525198 799068 893076 1050396 1061507 1265191 2123014 2530382 3184521 3795573 4246028 5060764 6369042 7591146 12738084 15182292 18045619 20168633 36091238 40337266 54136857 60505899 72182476 80674532 108273714 121011798 216547428 242023596 342866761 685733522 1028600283 1371467044 2057200566 4114401132