Search a number
-
+
317296842240000 = 21235473235237
BaseRepresentation
bin100100000100101000110110…
…1100100011111000000000000
31112121110021121111012000102210
41020021101231210133000000
5313042042413103140000
63042500053530142120
7123555640353615000
oct11011215544370000
91477407544160383
10317296842240000
1192111920595277
122b706306581940
1310807c6b717ccc
14584d36b78c000
1526a3944307350
hex120946d91f000

317296842240000 has 2080 divisors, whose sum is σ = 1286721857203200. Its totient is φ = 69358485504000.

The previous prime is 317296842239981. The next prime is 317296842240011. The reversal of 317296842240000 is 42248692713.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 159 ways as a sum of consecutive naturals, for example, 60587517382 + ... + 60587522618.

Almost surely, 2317296842240000 is an apocalyptic number.

317296842240000 is a gapful number since it is divisible by the number (30) 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 317296842240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643360928601600).

317296842240000 is an abundant number, since it is smaller than the sum of its proper divisors (969425014963200).

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

317296842240000 is an frugal number, since it uses more digits than its factorization.

317296842240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 317296842240000 in words is "three hundred seventeen trillion, two hundred ninety-six billion, eight hundred forty-two million, two hundred forty thousand".