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1324043420400 = 243352122596613
BaseRepresentation
bin10011010001000111001…
…000110100001011110000
311200120120212021202112000
4103101013020310023300
5133143120103423100
62452131313334000
7164442013244061
oct23210710641360
94616525252460
101324043420400
11470583aa1868
12194737567300
1397b1a3b710c
1448126888568
1524694b41900
hex134472342f0

1324043420400 has 120 divisors (see below), whose sum is σ = 4712613842160. Its totient is φ = 353078242560.

The previous prime is 1324043420389. The next prime is 1324043420429. The reversal of 1324043420400 is 40243404231.

It is a happy number.

1324043420400 is a `hidden beast` number, since 1 + 3 + 24 + 0 + 434 + 204 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13240434204002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 61287507 + ... + 61309106.

It is an arithmetic number, because the mean of its divisors is an integer number (39271782018).

Almost surely, 21324043420400 is an apocalyptic number.

1324043420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1324043420400 is an abundant number, since it is smaller than the sum of its proper divisors (3388570421760).

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

1324043420400 is a wasteful number, since it uses less digits than its factorization.

1324043420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122596640 (or 122596623 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1324043420400 its reverse (40243404231), we get a palindrome (1364286824631).

The spelling of 1324043420400 in words is "one trillion, three hundred twenty-four billion, forty-three million, four hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 122596613 245193226 367789839 490386452 612983065 735579678 980772904 1103369517 1225966130 1471159356 1838949195 1961545808 2206739034 2451932260 2942318712 3064915325 3310108551 3677898390 4413478068 4903864520 5516847585 5884637424 6129830650 6620217102 7355796780 8826956136 9194745975 9807729040 11033695170 12259661300 13240434204 14711593560 16550542755 17653912272 18389491950 22067390340 24519322600 26480868408 27584237925 29423187120 33101085510 36778983900 44134780680 49038645200 52961736816 55168475850 66202171020 73557967800 82752713775 88269561360 110336951700 132404342040 147115935600 165505427550 220673903400 264808684080 331010855100 441347806800 662021710200 1324043420400