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1323434344140 = 223357134518371
BaseRepresentation
bin10011010000100010110…
…101010111111011001100
311200112000102012110222000
4103100202311113323030
5133140343143003030
62451551034552300
7164420636213406
oct23204265277314
94615012173860
101323434344140
114702a1204857
121945a7598690
1397a5116126c
14480a9a1bb76
152465b42e860
hex13422d57ecc

1323434344140 has 96 divisors (see below), whose sum is σ = 4175342277120. Its totient is φ = 347945169600.

The previous prime is 1323434344121. The next prime is 1323434344147. The reversal of 1323434344140 is 414434343231.

1323434344140 is a `hidden beast` number, since 1 + 3 + 234 + 3 + 4 + 3 + 4 + 414 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1323434344095 and 1323434344104.

It is not an unprimeable number, because it can be changed into a prime (1323434344147) 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, 17220846 + ... + 17297525.

It is an arithmetic number, because the mean of its divisors is an integer number (43493148720).

Almost surely, 21323434344140 is an apocalyptic number.

1323434344140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323434344140 is an abundant number, since it is smaller than the sum of its proper divisors (2851907932980).

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

1323434344140 is a wasteful number, since it uses less digits than its factorization.

1323434344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34518460 (or 34518452 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 1323434344140 its reverse (414434343231), we get a palindrome (1737868687371).

Subtracting from 1323434344140 its reverse (414434343231), we obtain a palindrome (909000000909).

The spelling of 1323434344140 in words is "one trillion, three hundred twenty-three billion, four hundred thirty-four million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 3195 3834 4260 6390 7668 9585 12780 19170 38340 34518371 69036742 103555113 138073484 172591855 207110226 310665339 345183710 414220452 517775565 621330678 690367420 931996017 1035551130 1242661356 1553326695 1863992034 2071102260 2450804341 3106653390 3727984068 4659980085 4901608682 6213306780 7352413023 9319960170 9803217364 12254021705 14704826046 18639920340 22057239069 24508043410 29409652092 36762065115 44114478138 49016086820 66171717207 73524130230 88228956276 110286195345 132343434414 147048260460 220572390690 264686868828 330858586035 441144781380 661717172070 1323434344140