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1442224324410 = 235198937797523
BaseRepresentation
bin10100111111001011010…
…001001011111100111010
312002212122002111201102220
4110333023101023330322
5142112133411340120
63022314304304510
7206124443326452
oct24771321137472
95085562451386
101442224324410
1150670a03a171
121b361a012136
13a600275660c
144db38386d62
15277b006ab40
hex14fcb44bf3a

1442224324410 has 128 divisors (see below), whose sum is σ = 3685917312000. Its totient is φ = 360114365952.

The previous prime is 1442224324403. The next prime is 1442224324417. The reversal of 1442224324410 is 144234222441.

It is an interprime number because it is at equal distance from previous prime (1442224324403) and next prime (1442224324417).

It is a super-2 number, since 2×14422243244102 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1442224324417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191704909 + ... + 191712431.

It is an arithmetic number, because the mean of its divisors is an integer number (28796229000).

Almost surely, 21442224324410 is an apocalyptic number.

1442224324410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442224324410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842958656000).

1442224324410 is an abundant number, since it is smaller than the sum of its proper divisors (2243692987590).

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

1442224324410 is a wasteful number, since it uses less digits than its factorization.

1442224324410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11420.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 1442224324410 its reverse (144234222441), we get a palindrome (1586458546851).

The spelling of 1442224324410 in words is "one trillion, four hundred forty-two billion, two hundred twenty-four million, three hundred twenty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 89 95 114 178 190 267 285 445 534 570 890 1335 1691 2670 3382 3779 5073 7523 7558 8455 10146 11337 15046 16910 18895 22569 22674 25365 37615 37790 45138 50730 56685 71801 75230 112845 113370 142937 143602 215403 225690 285874 336331 359005 428811 430806 669547 672662 714685 718010 857622 1008993 1077015 1339094 1429370 1681655 2008641 2017986 2144055 2154030 3347735 3363310 4017282 4288110 5044965 6390289 6695470 10043205 10089930 12721393 12780578 19170867 20086410 25442786 28429417 31951445 38164179 38341734 56858834 63606965 63902890 76328358 85288251 95854335 127213930 142147085 170576502 190820895 191708670 284294170 381641790 426441255 540158923 852882510 1080317846 1620476769 2530218113 2700794615 3240953538 5060436226 5401589230 7590654339 8102383845 12651090565 15181308678 16204767690 25302181130 37953271695 48074144147 75906543390 96148288294 144222432441 240370720735 288444864882 480741441470 721112162205 1442224324410