Search a number
-
+
330442313140000 = 255416522115657
BaseRepresentation
bin100101100100010010001100…
…0101100011000011100100000
31121022222222100221211221101101
41023020210120230120130200
5321302431324130440000
63130443034125044144
7126413445364630435
oct11310443054303440
91538888327757341
10330442313140000
119631a886177266
1231089b260b6654
131124c76552a939
145b856c9841b8c
152830869b32e6a
hex12c8918b18720

330442313140000 has 60 divisors (see below), whose sum is σ = 812937656720574. Its totient is φ = 132176925248000.

The previous prime is 330442313139997. The next prime is 330442313140003. The reversal of 330442313140000 is 41313244033.

It is an interprime number because it is at equal distance from previous prime (330442313139997) and next prime (330442313140003).

It can be written as a sum of positive squares in 5 ways, for example, as 761451702544 + 329680861437456 = 872612^2 + 18157116^2 .

It is not an unprimeable number, because it can be changed into a prime (330442313140003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8261037829 + ... + 8261077828.

Almost surely, 2330442313140000 is an apocalyptic number.

It is an amenable number.

330442313140000 is an abundant number, since it is smaller than the sum of its proper divisors (482495343580574).

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

330442313140000 is an equidigital number, since it uses as much as digits as its factorization.

330442313140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16522115687 (or 16522115664 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 330442313140000 its reverse (41313244033), we get a palindrome (330483626384033).

The spelling of 330442313140000 in words is "three hundred thirty trillion, four hundred forty-two billion, three hundred thirteen million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 16522115657 33044231314 66088462628 82610578285 132176925256 165221156570 264353850512 330442313140 413052891425 528707701024 660884626280 826105782850 1321769252560 1652211565700 2065264457125 2643538505120 3304423131400 4130528914250 6608846262800 8261057828500 10326322285625 13217692525600 16522115657000 20652644571250 33044231314000 41305289142500 66088462628000 82610578285000 165221156570000 330442313140000