Search a number
-
+
331204142020208 = 24171964087488781
BaseRepresentation
bin100101101001110100111100…
…1001110111011011001110000
31121102200210210010021212212112
41023103221321032323121300
5321402422040324121313
63132225025441544452
7126522465252362102
oct11323517116733160
91542623703255775
10331204142020208
1196593984772766
12311916b9045128
13112a65552b71a2
145bb051a46d572
1528455a6c9d8a8
hex12d3a793bb670

331204142020208 has 40 divisors (see below), whose sum is σ = 715216374807120. Its totient is φ = 147657574149120.

The previous prime is 331204142020121. The next prime is 331204142020217. The reversal of 331204142020208 is 802020241402133.

It is a super-2 number, since 2×3312041420202082 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32043739223 + ... + 32043749558.

It is an arithmetic number, because the mean of its divisors is an integer number (17880409370178).

Almost surely, 2331204142020208 is an apocalyptic number.

331204142020208 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

331204142020208 is an abundant number, since it is smaller than the sum of its proper divisors (384012232786912).

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

331204142020208 is a wasteful number, since it uses less digits than its factorization.

331204142020208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64087488825 (or 64087488819 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 331204142020208 in words is "three hundred thirty-one trillion, two hundred four billion, one hundred forty-two million, twenty thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1292 2584 5168 64087488781 128174977562 256349955124 512699910248 1025399820496 1089487309277 1217662286839 2178974618554 2435324573678 4357949237108 4870649147356 8715898474216 9741298294712 17431796948432 19482596589424 20700258876263 41400517752526 82801035505052 165602071010104 331204142020208