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14433230340 = 22325641125093
BaseRepresentation
bin11010111000100100…
…11001111000000100
31101020212200001212200
431130102121320010
5214024401332330
610344110114500
71020445301514
oct153422317004
941225601780
1014433230340
116137200641
1229697aba30
1314902b68a9
149acc4b844
155971aca60
hex35c499e04

14433230340 has 72 divisors (see below), whose sum is σ = 43849450008. Its totient is φ = 3842826240.

The previous prime is 14433230323. The next prime is 14433230347. The reversal of 14433230340 is 4303233441.

It can be written as a sum of positive squares in 4 ways, for example, as 8662397184 + 5770833156 = 93072^2 + 75966^2 .

It is not an unprimeable number, because it can be changed into a prime (14433230347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52834 + ... + 177926.

It is an arithmetic number, because the mean of its divisors is an integer number (609020139).

Almost surely, 214433230340 is an apocalyptic number.

14433230340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14433230340 is an abundant number, since it is smaller than the sum of its proper divisors (29416219668).

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

14433230340 is a wasteful number, since it uses less digits than its factorization.

14433230340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125749 (or 125744 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 14433230340 its reverse (4303233441), we get a palindrome (18736463781).

The spelling of 14433230340 in words is "fourteen billion, four hundred thirty-three million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 641 1282 1923 2564 3205 3846 5769 6410 7692 9615 11538 12820 19230 23076 28845 38460 57690 115380 125093 250186 375279 500372 625465 750558 1125837 1250930 1501116 1876395 2251674 2501860 3752790 4503348 5629185 7505580 11258370 22516740 80184613 160369226 240553839 320738452 400923065 481107678 721661517 801846130 962215356 1202769195 1443323034 1603692260 2405538390 2886646068 3608307585 4811076780 7216615170 14433230340