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1324324040120 = 2355313931714177
BaseRepresentation
bin10011010001010111110…
…111010010110110111000
311200121022102022201101222
4103101113313102312320
5133144203423240440
62452215220131212
7164451661415264
oct23212767226670
94617272281358
101324324040120
11470708439594
121947b5536b08
1397b6358a8a3
1448151c550a4
15246ae5c32b5
hex13457dd2db8

1324324040120 has 128 divisors (see below), whose sum is σ = 3067654161600. Its totient is φ = 514331590656.

The previous prime is 1324324040107. The next prime is 1324324040131. The reversal of 1324324040120 is 210404234231.

It is a super-2 number, since 2×13243240401202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1324324040120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93406472 + ... + 93420648.

Almost surely, 21324324040120 is an apocalyptic number.

1324324040120 is a gapful number since it is divisible by the number (10) 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 1324324040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533827080800).

1324324040120 is an abundant number, since it is smaller than the sum of its proper divisors (1743330121480).

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

1324324040120 is a wasteful number, since it uses less digits than its factorization.

1324324040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14697 (or 14693 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1324324040120 its reverse (210404234231), we get a palindrome (1534728274351).

The spelling of 1324324040120 in words is "one trillion, three hundred twenty-four billion, three hundred twenty-four million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 139 212 265 278 317 424 530 556 634 695 1060 1112 1268 1390 1585 2120 2536 2780 3170 5560 6340 7367 12680 14177 14734 16801 28354 29468 33602 36835 44063 56708 58936 67204 70885 73670 84005 88126 113416 134408 141770 147340 168010 176252 220315 283540 294680 336020 352504 440630 567080 672040 751381 881260 1502762 1762520 1970603 2335339 3005524 3756905 3941206 4494109 4670678 6011048 7513810 7882412 8988218 9341356 9853015 11676695 15027620 15764824 17976436 18682712 19706030 22470545 23353390 30055240 35952872 39412060 44941090 46706780 78824120 89882180 93413560 104441959 179764360 208883918 238187777 417767836 476375554 522209795 624681151 835535672 952751108 1044419590 1190938885 1249362302 1905502216 2088839180 2381877770 2498724604 3123405755 4177678360 4763755540 4997449208 6246811510 9527511080 12493623020 24987246040 33108101003 66216202006 132432404012 165540505015 264864808024 331081010030 662162020060 1324324040120