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240323321204240 = 2453004041515053
BaseRepresentation
bin110110101001001010100010…
…001100010000111000010000
31011111220200111110110000121012
4312221022202030100320100
5222444424130212013430
62211043002025150052
7101422533635306051
oct6651124214207020
91144820443400535
10240323321204240
116a63560367062a
1222b5432a02b328
13a413513157781
14434b9d4662728
151cbb563a76695
hexda92a2310e10

240323321204240 has 20 divisors (see below), whose sum is σ = 558751721800044. Its totient is φ = 96129328481664.

The previous prime is 240323321204231. The next prime is 240323321204251. The reversal of 240323321204240 is 42402123323042.

It can be written as a sum of positive squares in 2 ways, for example, as 93748327546384 + 146574993657856 = 9682372^2 + 12106816^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2403233212042402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240323321204197 and 240323321204206.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1502020757447 + ... + 1502020757606.

Almost surely, 2240323321204240 is an apocalyptic number.

240323321204240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240323321204240 is an abundant number, since it is smaller than the sum of its proper divisors (318428400595804).

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

240323321204240 is a wasteful number, since it uses less digits than its factorization.

240323321204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004041515066 (or 3004041515060 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 240323321204240 its reverse (42402123323042), we get a palindrome (282725444527282).

The spelling of 240323321204240 in words is "two hundred forty trillion, three hundred twenty-three billion, three hundred twenty-one million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3004041515053 6008083030106 12016166060212 15020207575265 24032332120424 30040415150530 48064664240848 60080830301060 120161660602120 240323321204240