Search a number
-
+
44453644635444 = 223113790710035163
BaseRepresentation
bin10100001101110001010111…
…01100101000110100110100
312211101201121221000220210020
422012320223230220310310
521311312031011313234
6234313420013125140
712235445516611002
oct1206705354506464
9184351557026706
1044453644635444
11131897595466a0
124b9b4b77897b0
131ba5c6487ba65
14ad97d4399a72
1552151bde2549
hex286e2bb28d34

44453644635444 has 96 divisors (see below), whose sum is σ = 116341108348416. Its totient is φ = 13092273751680.

The previous prime is 44453644635419. The next prime is 44453644635487.

44453644635444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444536446354442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587794 + ... + 9447369.

It is an arithmetic number, because the mean of its divisors is an integer number (1211886545296).

Almost surely, 244453644635444 is an apocalyptic number.

44453644635444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44453644635444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58170554174208).

44453644635444 is an abundant number, since it is smaller than the sum of its proper divisors (71887463712972).

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

44453644635444 is a wasteful number, since it uses less digits than its factorization.

44453644635444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10036125 (or 10036123 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 60.

The spelling of 44453644635444 in words is "forty-four trillion, four hundred fifty-three billion, six hundred forty-four million, six hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 907 1221 1628 1814 2442 2721 3628 4884 5442 9977 10884 19954 29931 33559 39908 59862 67118 100677 119724 134236 201354 369149 402708 738298 1107447 1476596 2214894 4429788 10035163 20070326 30105489 40140652 60210978 110386793 120421956 220773586 331160379 371301031 441547172 662320758 742602062 1113903093 1324641516 1485204124 2227806186 4084311341 4455612372 8168622682 9101892841 12252934023 16337245364 18203785682 24505868046 27305678523 36407571364 49011736092 54611357046 100120821251 109222714092 200241642502 300362463753 336770035117 400483285004 600724927506 673540070234 1010310105351 1201449855012 1347080140468 2020620210702 3704470386287 4041240421404 7408940772574 11113411158861 14817881545148 22226822317722 44453644635444