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24441614442 = 23272171630093
BaseRepresentation
bin10110110000110101…
…010111000001101010
32100002101012122211100
4112300311113001222
5400024023130232
615121152342230
71523454203100
oct266065270152
970071178740
1024441614442
11a402721763
1248a1544976
1323c694b26b
14127c153c70
15980b74c7c
hex5b0d5706a

24441614442 has 72 divisors (see below), whose sum is σ = 65226581316. Its totient is φ = 6572530944.

The previous prime is 24441614413. The next prime is 24441614513.

24441614442 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 24351914601 + 89699841 = 156051^2 + 9471^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24441614397 and 24441614406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 800053 + ... + 830040.

Almost surely, 224441614442 is an apocalyptic number.

24441614442 is an abundant number, since it is smaller than the sum of its proper divisors (40784966874).

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

24441614442 is a wasteful number, since it uses less digits than its factorization.

24441614442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630132 (or 1630122 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The spelling of 24441614442 in words is "twenty-four billion, four hundred forty-one million, six hundred fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2142 2499 4998 7497 14994 1630093 3260186 4890279 9780558 11410651 14670837 22821302 27711581 29341674 34231953 55423162 68463906 79874557 83134743 102695859 159749114 166269486 193981067 205391718 239623671 249404229 387962134 479247342 498808458 581943201 718871013 1163886402 1357867469 1437742026 1745829603 2715734938 3491659206 4073602407 8147204814 12220807221 24441614442