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241314343400 = 23521392813209
BaseRepresentation
bin1110000010111101110…
…1001010100111101000
3212001212121111210012002
43200233131022213220
512423202432442100
6302505215510132
723301665034524
oct3405735124750
9761777453162
10241314343400
1193382723959
123a927828348
13199a978c210
14b973064d84
1564255312d5
hex382f74a9e8

241314343400 has 48 divisors (see below), whose sum is σ = 604213997100. Its totient is φ = 89100679680.

The previous prime is 241314343393. The next prime is 241314343441. The reversal of 241314343400 is 4343413142.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33445825924 + 207868517476 = 182882^2 + 455926^2 .

It is a super-2 number, since 2×2413143434002 (a number of 24 digits) contains 22 as substring.

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, 46404005 + ... + 46409204.

Almost surely, 2241314343400 is an apocalyptic number.

241314343400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241314343400 is an abundant number, since it is smaller than the sum of its proper divisors (362899653700).

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

241314343400 is a wasteful number, since it uses less digits than its factorization.

241314343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92813238 (or 92813229 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 241314343400 its reverse (4343413142), we get a palindrome (245657756542).

The spelling of 241314343400 in words is "two hundred forty-one billion, three hundred fourteen million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 92813209 185626418 371252836 464066045 742505672 928132090 1206571717 1856264180 2320330225 2413143434 3712528360 4640660450 4826286868 6032858585 9281320900 9652573736 12065717170 18562641800 24131434340 30164292925 48262868680 60328585850 120657171700 241314343400