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4110314444012 = 2272921098715887
BaseRepresentation
bin111011110100000001110…
…101010001010011101100
3112112221102212210002101202
4323310001311101103230
51014320410444202022
612424130303225032
7602650265212010
oct73640165212354
915487385702352
104110314444012
1113451a1391167
12564733ba8178
1323a7a74ac98a
14102d241b6540
1571dba9b6592
hex3bd01d514ec

4110314444012 has 72 divisors (see below), whose sum is σ = 8515184530944. Its totient is φ = 1700557919424.

The previous prime is 4110314444009. The next prime is 4110314444051. The reversal of 4110314444012 is 2104444130114.

It is a happy number.

4110314444012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41103144440122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258713933 + ... + 258729819.

Almost surely, 24110314444012 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 4110314444012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257592265472).

4110314444012 is an abundant number, since it is smaller than the sum of its proper divisors (4404870086932).

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

4110314444012 is a wasteful number, since it uses less digits than its factorization.

4110314444012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26943 (or 26912 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 4110314444012 its reverse (2104444130114), we get a palindrome (6214758574126).

The spelling of 4110314444012 in words is "four trillion, one hundred ten billion, three hundred fourteen million, four hundred forty-four thousand, twelve".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 841 1682 3364 5887 10987 11774 15887 21974 23548 31774 43948 63548 76909 111209 153818 222418 307636 318623 444836 460723 637246 921446 1274492 1842892 2230361 3225061 4460722 6450122 8921444 9240067 12900244 13360967 18480134 26721934 36960268 53443868 64680469 93526769 129360938 174550469 187053538 258721876 349100938 374107076 698201876 1221853283 2443706566 4887413132 5061963601 10123927202 20247854404 35433745207 70867490414 141734980828 146796944429 293593888858 587187777716 1027578611003 2055157222006 4110314444012