Search a number
-
+
4109114064 = 2431117457789
BaseRepresentation
bin1111010011101100…
…0001101011010000
3101121101000121210210
43310323001223100
531403413122224
61515424324120
7203553615246
oct36473015320
911541017723
104109114064
111819540240
12968173640
13506406753
142ada38796
15190b2a429
hexf4ec1ad0

4109114064 has 80 divisors (see below), whose sum is σ = 12261447360. Its totient is φ = 1171937280.

The previous prime is 4109114063. The next prime is 4109114071. The reversal of 4109114064 is 4604119014.

4109114064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4109114063) 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, 219919 + ... + 237870.

It is an arithmetic number, because the mean of its divisors is an integer number (153268092).

Almost surely, 24109114064 is an apocalyptic number.

4109114064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4109114064 is an abundant number, since it is smaller than the sum of its proper divisors (8152333296).

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

4109114064 is a wasteful number, since it uses less digits than its factorization.

4109114064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457828 (or 457822 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4109114064 is about 64102.3717501935. The cubic root of 4109114064 is about 1601.7057412996.

It can be divided in two parts, 41091 and 14064, that added together give a palindrome (55155).

The spelling of 4109114064 in words is "four billion, one hundred nine million, one hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 457789 915578 1373367 1831156 2746734 3662312 5035679 5493468 7324624 7782413 10071358 10986936 15107037 15564826 20142716 21973872 23347239 30214074 31129652 40285432 46694478 60428148 62259304 80570864 85606543 93388956 120856296 124518608 171213086 186777912 241712592 256819629 342426172 373555824 513639258 684852344 1027278516 1369704688 2054557032 4109114064