Search a number
-
+
330431440232340 = 223251835730223513
BaseRepresentation
bin100101100100001101001000…
…0100111100001111110010100
31121022221221022012120000001200
41023020122100213201332110
5321302242042144413330
63130434035200552500
7126412612060505256
oct11310322047417624
91538857265500050
10330431440232340
1196316206754867
12310879b0922730
131124b721a41475
145b84d777b5cd6
1528304302eaa60
hex12c86909e1f94

330431440232340 has 36 divisors (see below), whose sum is σ = 1002308702038644. Its totient is φ = 88115050728576.

The previous prime is 330431440232317. The next prime is 330431440232353. The reversal of 330431440232340 is 43232044134033.

330431440232340 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 3 + 14 + 402 + 3 + 234 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84742555847184 + 245688884385156 = 9205572^2 + 15674466^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 330431440232295 and 330431440232304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 917865111577 + ... + 917865111936.

Almost surely, 2330431440232340 is an apocalyptic number.

330431440232340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330431440232340 is an abundant number, since it is smaller than the sum of its proper divisors (671877261806304).

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

330431440232340 is a wasteful number, since it uses less digits than its factorization.

330431440232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835730223528 (or 1835730223523 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 330431440232340 its reverse (43232044134033), we get a palindrome (373663484366373).

The spelling of 330431440232340 in words is "three hundred thirty trillion, four hundred thirty-one billion, four hundred forty million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1835730223513 3671460447026 5507190670539 7342920894052 9178651117565 11014381341078 16521572011617 18357302235130 22028762682156 27535953352695 33043144023234 36714604470260 55071906705390 66086288046468 82607860058085 110143813410780 165215720116170 330431440232340