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1444412106 = 23217291391171
BaseRepresentation
bin101011000010111…
…1111101011001010
310201122220201220200
41112011333223022
510424232141411
6355154433030
750536205004
oct12605775312
93648821820
101444412106
11681373215
12343892776
131a032b627
14d9b93374
1586c18e56
hex5617faca

1444412106 has 96 divisors (see below), whose sum is σ = 3455524800. Its totient is φ = 434004480.

The previous prime is 1444412087. The next prime is 1444412111. The reversal of 1444412106 is 6012144441.

1444412106 is a `hidden beast` number, since 1 + 4 + 4 + 441 + 210 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1444412106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1232901 + ... + 1234071.

It is an arithmetic number, because the mean of its divisors is an integer number (35995050).

Almost surely, 21444412106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444412106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727762400).

1444412106 is an abundant number, since it is smaller than the sum of its proper divisors (2011112694).

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

1444412106 is a wasteful number, since it uses less digits than its factorization.

1444412106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1444412106 is about 38005.4220605429. The cubic root of 1444412106 is about 1130.3953783903.

Adding to 1444412106 its reverse (6012144441), we get a palindrome (7456556547).

The spelling of 1444412106 in words is "one billion, four hundred forty-four million, four hundred twelve thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 139 153 174 261 278 306 417 493 522 834 986 1171 1251 1479 2342 2363 2502 2958 3513 4031 4437 4726 7026 7089 8062 8874 10539 12093 14178 19907 21078 21267 24186 33959 36279 39814 42534 59721 67918 68527 72558 101877 119442 137054 162769 179163 203754 205581 305631 325538 358326 411162 488307 577303 611262 616743 976614 1154606 1233486 1464921 1731909 2767073 2929842 3463818 4720301 5195727 5534146 8301219 9440602 10391454 14160903 16602438 24903657 28321806 42482709 49807314 80245117 84965418 160490234 240735351 481470702 722206053 1444412106