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4412124135 = 3353159107167
BaseRepresentation
bin1000001101111101…
…11010101111100111
3102101111012010111000
410012332322233213
533014000433020
62005451044343
7214223302446
oct40676725747
912344163430
104412124135
111964590191
12a317406b3
13554119653
142dbd92d5d
151ac531090
hex106fbabe7

4412124135 has 128 divisors (see below), whose sum is σ = 8360755200. Its totient is φ = 2204426880.

The previous prime is 4412124071. The next prime is 4412124169. The reversal of 4412124135 is 5314212144.

4412124135 is a `hidden beast` number, since 4 + 412 + 1 + 241 + 3 + 5 = 666.

It is not a de Polignac number, because 4412124135 - 26 = 4412124071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4412124099 and 4412124108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26419822 + ... + 26419988.

It is an arithmetic number, because the mean of its divisors is an integer number (65318400).

Almost surely, 24412124135 is an apocalyptic number.

4412124135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4412124135 is a deficient number, since it is larger than the sum of its proper divisors (3948631065).

4412124135 is a wasteful number, since it uses less digits than its factorization.

4412124135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 4412124135 is about 66423.8220445045. The cubic root of 4412124135 is about 1640.1462460054.

Adding to 4412124135 its reverse (5314212144), we get a palindrome (9726336279).

The spelling of 4412124135 in words is "four billion, four hundred twelve million, one hundred twenty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 31 45 59 93 107 135 155 167 177 279 295 321 465 501 531 535 835 837 885 963 1395 1503 1593 1605 1829 2505 2655 2889 3317 4185 4509 4815 5177 5487 6313 7515 7965 9145 9853 9951 14445 15531 16461 16585 17869 18939 22545 25885 27435 29559 29853 31565 46593 49265 49383 49755 53607 56817 77655 82305 88677 89345 89559 94695 139779 147795 149265 160821 170451 195703 232965 246915 266031 268035 284085 305443 443385 447795 482463 553939 587109 698895 804105 852255 916329 978515 1054271 1330155 1527215 1661817 1761327 2412315 2748987 2769695 2935545 3162813 4581645 4985451 5271355 5283981 8246961 8309085 8806635 9488439 13744935 14956353 15814065 24927255 26419905 28465317 32682401 41234805 47442195 74781765 98047203 142326585 163412005 294141609 490236015 882424827 1470708045 4412124135