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2323204444432 = 2419131239244087
BaseRepresentation
bin100001110011101001110…
…001101001000100010000
322020002121010000210100001
4201303221301221010100
5301030410314210212
64535133153535344
7326563112645044
oct41635161510420
98202533023301
102323204444432
118162a1385693
12316304574554
1313b100904371
148062d6dc024
15406728d2657
hex21ce9c69110

2323204444432 has 80 divisors (see below), whose sum is σ = 4794278860800. Its totient is φ = 1087491000960.

The previous prime is 2323204444423. The next prime is 2323204444469. The reversal of 2323204444432 is 2344444023232.

It is a junction number, because it is equal to n+sod(n) for n = 2323204444391 and 2323204444400.

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 15 ways as a sum of consecutive naturals, for example, 9395893 + ... + 9639979.

It is an arithmetic number, because the mean of its divisors is an integer number (59928485760).

Almost surely, 22323204444432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323204444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397139430400).

2323204444432 is an abundant number, since it is smaller than the sum of its proper divisors (2471074416368).

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

2323204444432 is a wasteful number, since it uses less digits than its factorization.

2323204444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244484 (or 244478 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 37.

Adding to 2323204444432 its reverse (2344444023232), we get a palindrome (4667648467664).

The spelling of 2323204444432 in words is "two trillion, three hundred twenty-three billion, two hundred four million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 131 152 239 262 304 478 524 956 1048 1912 2096 2489 3824 4541 4978 9082 9956 18164 19912 31309 36328 39824 62618 72656 125236 244087 250472 488174 500944 594871 976348 1189742 1952696 2379484 3905392 4637653 4758968 9275306 9517936 18550612 31975397 37101224 58336793 63950794 74202448 116673586 127901588 233347172 255803176 466694344 511606352 607532543 933388688 1108399067 1215065086 2216798134 2430130172 4433596268 4860260344 7642119883 8867192536 9720520688 15284239766 17734385072 30568479532 61136959064 122273918128 145200277777 290400555554 580801111108 1161602222216 2323204444432