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1324443313040 = 245314143302921
BaseRepresentation
bin10011010001011110111…
…110010010001110010000
311200121121201202102002112
4103101132332102032100
5133144424442004130
62452235120404452
7164454640260611
oct23213676221620
94617551672075
101324443313040
114707697a4051
12194829476728
1397b821bb893
1448163a21c08
15246b9cd3495
hex1345ef92390

1324443313040 has 160 divisors (see below), whose sum is σ = 3331928742912. Its totient is φ = 488549376000.

The previous prime is 1324443313031. The next prime is 1324443313049. The reversal of 1324443313040 is 403133444231.

It is an interprime number because it is at equal distance from previous prime (1324443313031) and next prime (1324443313049).

It is a junction number, because it is equal to n+sod(n) for n = 1324443312988 and 1324443313006.

It is not an unprimeable number, because it can be changed into a prime (1324443313049) 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, 4220780 + ... + 4523700.

Almost surely, 21324443313040 is an apocalyptic number.

1324443313040 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 1324443313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665964371456).

1324443313040 is an abundant number, since it is smaller than the sum of its proper divisors (2007485429872).

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

1324443313040 is a wasteful number, since it uses less digits than its factorization.

1324443313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303049 (or 303043 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 1324443313040 its reverse (403133444231), we get a palindrome (1727576757271).

The spelling of 1324443313040 in words is "one trillion, three hundred twenty-four billion, four hundred forty-three million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 41 43 62 80 82 86 124 155 164 172 205 215 248 310 328 344 410 430 496 620 656 688 820 860 1240 1271 1333 1640 1720 1763 2480 2542 2666 3280 3440 3526 5084 5332 6355 6665 7052 8815 10168 10664 12710 13330 14104 17630 20336 21328 25420 26660 28208 35260 50840 53320 54653 70520 101680 106640 109306 141040 218612 273265 302921 437224 546530 605842 874448 1093060 1211684 1514605 2186120 2423368 3029210 4372240 4846736 6058420 9390551 12116840 12419761 13025603 18781102 24233680 24839522 26051206 37562204 46952755 49679044 52102412 62098805 65128015 75124408 93905510 99358088 104204824 124197610 130256030 150248816 187811020 198716176 208409648 248395220 260512060 375622040 385012591 403793693 496790440 521024120 534049723 751244080 770025182 807587386 993580880 1042048240 1068099446 1540050364 1615174772 1925062955 2018968465 2136198892 2670248615 3080100728 3230349544 3850125910 4037936930 4272397784 5340497230 6160201456 6460699088 7700251820 8075873860 8544795568 10680994460 15400503640 16151747720 16555541413 21361988920 30801007280 32303495440 33111082826 42723977840 66222165652 82777707065 132444331304 165555414130 264888662608 331110828260 662221656520 1324443313040