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444141144 = 23345911617
BaseRepresentation
bin11010011110010…
…000111001011000
31010221201201010000
4122132100321120
51402200004034
6112023253000
714002065066
oct3236207130
91127651100
10444141144
112087848a7
121048aa160
1371028015
1442db5036
1528ed2599
hex1a790e58

444141144 has 80 divisors (see below), whose sum is σ = 1265200200. Its totient is φ = 145525248.

The previous prime is 444141143. The next prime is 444141161. The reversal of 444141144 is 441141444.

It is a super-2 number, since 2×4441411442 = 394522711587257472, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444141143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32424 + ... + 44040.

Almost surely, 2444141144 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 444141144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632600100).

444141144 is an abundant number, since it is smaller than the sum of its proper divisors (821059056).

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

444141144 is a wasteful number, since it uses less digits than its factorization.

444141144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11694 (or 11681 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 444141144 is about 21074.6564384808. The cubic root of 444141144 is about 762.9691926958.

Adding to 444141144 its reverse (441141444), we get a palindrome (885282588).

The spelling of 444141144 in words is "four hundred forty-four million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 324 354 472 531 648 708 1062 1416 1593 2124 3186 4248 4779 6372 9558 11617 12744 19116 23234 34851 38232 46468 69702 92936 104553 139404 209106 278808 313659 418212 627318 685403 836424 940977 1254636 1370806 1881954 2056209 2509272 2741612 3763908 4112418 5483224 6168627 7527816 8224836 12337254 16449672 18505881 24674508 37011762 49349016 55517643 74023524 111035286 148047048 222070572 444141144