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4410144112 = 24112191131061
BaseRepresentation
bin1000001101101110…
…10111010101110000
3102101100110112101211
410012313113111300
533012444102422
62005340405504
7214200415003
oct40667272560
912340415354
104410144112
111963458600
12a30b46894
135538a533a
142db9d953a
151ac28e577
hex106dd7570

4410144112 has 120 divisors (see below), whose sum is σ = 9983267280. Its totient is φ = 1880524800.

The previous prime is 4410144083. The next prime is 4410144139. The reversal of 4410144112 is 2114410144.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4156062 + ... + 4157122.

It is an arithmetic number, because the mean of its divisors is an integer number (83193894).

Almost surely, 24410144112 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 4410144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991633640).

4410144112 is an abundant number, since it is smaller than the sum of its proper divisors (5573123168).

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

4410144112 is a wasteful number, since it uses less digits than its factorization.

4410144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 4410144112 is about 66408.9159074292. The cubic root of 4410144112 is about 1639.9008605547.

Adding to 4410144112 its reverse (2114410144), we get a palindrome (6524554256).

The spelling of 4410144112 in words is "four billion, four hundred ten million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 113 121 152 176 209 226 242 304 418 452 484 836 904 968 1061 1243 1672 1808 1936 2122 2147 2299 2486 3344 4244 4294 4598 4972 8488 8588 9196 9944 11671 13673 16976 17176 18392 19888 20159 23342 23617 27346 34352 36784 40318 46684 47234 54692 80636 93368 94468 109384 119893 128381 161272 186736 188936 218768 221749 239786 256762 259787 322544 377872 443498 479572 513524 519574 886996 959144 1027048 1039148 1318823 1773992 1918288 2054096 2078296 2277967 2439239 2637646 3547984 4156592 4555934 4878478 5275292 9111868 9756956 10550584 14507053 18223736 19513912 21101168 25057637 29014106 36447472 39027824 50115274 58028212 100230548 116056424 200461096 232112848 275634007 400922192 551268014 1102536028 2205072056 4410144112