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144444334244424 = 23359966185717737
BaseRepresentation
bin100000110101111100010001…
…001110111000001001001000
3200221102202002000012120121220
4200311330101032320021020
5122413033444031310144
61231112451110002040
742265521154044144
oct4065742116701110
9627382060176556
10144444334244424
114202a553030235
121424a343346320
13627a071b49096
14279520087a224
1511a74de122919
hex835f113b8248

144444334244424 has 128 divisors (see below), whose sum is σ = 362704069728000. Its totient is φ = 47936304599040.

The previous prime is 144444334244423. The next prime is 144444334244437. The reversal of 144444334244424 is 424442433444441.

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

It is not an unprimeable number, because it can be changed into a prime (144444334244423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8143664484 + ... + 8143682220.

It is an arithmetic number, because the mean of its divisors is an integer number (2833625544750).

Almost surely, 2144444334244424 is an apocalyptic number.

It is an amenable number.

144444334244424 is an abundant number, since it is smaller than the sum of its proper divisors (218259735483576).

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

144444334244424 is a wasteful number, since it uses less digits than its factorization.

144444334244424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19863 (or 19859 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 51.

Adding to 144444334244424 its reverse (424442433444441), we get a palindrome (568886767688865).

The spelling of 144444334244424 in words is "one hundred forty-four trillion, four hundred forty-four billion, three hundred thirty-four million, two hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 599 661 857 1198 1322 1714 1797 1983 2396 2571 2644 3428 3594 3966 4792 5142 5288 6856 7188 7932 10284 14376 15864 17737 20568 35474 53211 70948 106422 141896 212844 395939 425688 513343 566477 791878 1026686 1132954 1187817 1540029 1583756 1699431 2053372 2265908 2375634 3080058 3167512 3398862 4106744 4531816 4751268 6160116 6797724 9502536 10624463 11724157 12320232 13595448 15200609 21248926 23448314 30401218 31873389 35172471 42497852 45601827 46896628 60802436 63746778 70344942 84995704 91203654 93793256 121604872 127493556 140689884 182407308 254987112 281379768 339319723 364814616 678639446 1017959169 1357278892 2035918338 2714557784 4071836676 7022770043 8143673352 9105164791 10047602549 14045540086 18210329582 20095205098 21068310129 27315494373 28091080172 30142807647 36420659164 40190410196 42136620258 54630988746 56182160344 60285615294 72841318328 80380820392 84273240516 109261977492 120571230588 168546481032 218523954984 241142461176 6018513926851 12037027853702 18055541780553 24074055707404 36111083561106 48148111414808 72222167122212 144444334244424