Search a number
-
+
212403352424000 = 265326550419053
BaseRepresentation
bin110000010010111000000010…
…010111101100111001000000
31000212001120011211110022112112
4300102320002113230321000
5210320004031210032000
62031424430353514452
762511431036345123
oct6022700227547100
91025046154408475
10212403352424000
11617508351102a1
121b9a5238b72a28
13916971c9c592a
143a6453cb0a3ba
151985172d64235
hexc12e025ece40

212403352424000 has 56 divisors (see below), whose sum is σ = 526016902297848. Its totient is φ = 84961340966400.

The previous prime is 212403352423987. The next prime is 212403352424051. The reversal of 212403352424000 is 424253304212.

It can be written as a sum of positive squares in 4 ways, for example, as 1041069227584 + 211362283196416 = 1020328^2 + 14538304^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13275201527 + ... + 13275217526.

Almost surely, 2212403352424000 is an apocalyptic number.

212403352424000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212403352424000 is an abundant number, since it is smaller than the sum of its proper divisors (313613549873848).

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

212403352424000 is an equidigital number, since it uses as much as digits as its factorization.

212403352424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26550419080 (or 26550419060 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The spelling of 212403352424000 in words is "two hundred twelve trillion, four hundred three billion, three hundred fifty-two million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 26550419053 53100838106 106201676212 132752095265 212403352424 265504190530 424806704848 531008381060 663760476325 849613409696 1062016762120 1327520952650 1699226819392 2124033524240 2655041905300 3318802381625 4248067048480 5310083810600 6637604763250 8496134096960 10620167621200 13275209526500 21240335242400 26550419053000 42480670484800 53100838106000 106201676212000 212403352424000