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5441441445 = 3251119237823
BaseRepresentation
bin1010001000101010…
…11100111010100101
3112001020000212101100
411010111130322211
542121002111240
62255540550313
7251562326526
oct50425347245
915036025340
105441441445
112342608550
12107a3b2399
1368944cb4b
1439897284d
1521caa3e30
hex14455cea5

5441441445 has 144 divisors (see below), whose sum is σ = 11166360192. Its totient is φ = 2428911360.

The previous prime is 5441441441. The next prime is 5441441459.

5441441445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5441441445 - 22 = 5441441441 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5441441441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6611304 + ... + 6612126.

It is an arithmetic number, because the mean of its divisors is an integer number (77544168).

Almost surely, 25441441445 is an apocalyptic number.

5441441445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5441441445 is an abundant number, since it is smaller than the sum of its proper divisors (5724918747).

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

5441441445 is a wasteful number, since it uses less digits than its factorization.

5441441445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 898 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 5441441445 is about 73766.1266774934. The cubic root of 5441441445 is about 1758.8871930900.

It can be divided in two parts, 54414 and 41445, that added together give a palindrome (95859).

The spelling of 5441441445 in words is "five billion, four hundred forty-one million, four hundred forty-one thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 15 19 33 37 45 55 57 95 99 111 165 171 185 209 285 333 361 407 495 555 627 703 823 855 1045 1083 1221 1665 1805 1881 2035 2109 2469 3135 3249 3515 3663 3971 4115 5415 6105 6327 7407 7733 9053 9405 10545 11913 12345 13357 15637 16245 18315 19855 23199 27159 30451 31635 35739 37035 38665 40071 45265 46911 59565 66785 69597 78185 81477 91353 115995 120213 135795 140733 146927 152255 172007 178695 200355 234555 274059 297103 334961 347985 407385 440781 456765 516021 578569 601065 703665 734635 860035 891309 1004883 1322343 1370295 1485515 1548063 1674805 1735707 2203905 2580105 2673927 2892845 3014649 3268133 4456545 5024415 5207121 6364259 6611715 7740315 8678535 9804399 10992811 13369635 15073245 16340665 19092777 26035605 29413197 31821295 32978433 49021995 54964055 57278331 95463885 98935299 120920921 147065985 164892165 286391655 362762763 494676495 604604605 1088288289 1813813815 5441441445