Search a number
-
+
14440341004430 = 25111721609282313
BaseRepresentation
bin1101001000100010011101…
…1001010110000010001110
31220010111001012012200101112
43102020213121112002032
53343042304244120210
650413445011012022
73020165053212305
oct322104731260216
956114035180345
1014440341004430
114668129046770
121752774b9a012
1380994519b3c3
1437ccb820743c
151a095e1dbd05
hexd222765608e

14440341004430 has 96 divisors (see below), whose sum is σ = 30140497608480. Its totient is φ = 4939059732480.

The previous prime is 14440341004363. The next prime is 14440341004433. The reversal of 14440341004430 is 3440014304441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14440341004433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51008954 + ... + 51291266.

It is an arithmetic number, because the mean of its divisors is an integer number (313963516755).

Almost surely, 214440341004430 is an apocalyptic number.

14440341004430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14440341004430 is an abundant number, since it is smaller than the sum of its proper divisors (15700156604050).

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

14440341004430 is a wasteful number, since it uses less digits than its factorization.

14440341004430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283974 (or 283957 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14440341004430 its reverse (3440014304441), we get a palindrome (17880355308871).

The spelling of 14440341004430 in words is "fourteen trillion, four hundred forty billion, three hundred forty-one million, four thousand, four hundred thirty".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 170 187 289 374 578 935 1445 1609 1870 2890 3179 3218 6358 8045 15895 16090 17699 27353 31790 35398 54706 88495 136765 176990 273530 282313 300883 465001 564626 601766 930002 1411565 1504415 2325005 2823130 3008830 3105443 4650010 4799321 5115011 6210886 9598642 10230022 15527215 23996605 25575055 31054430 47993210 51150110 52792531 81588457 105585062 163176914 263962655 407942285 454241617 527925310 815884570 897473027 908483234 1794946054 2271208085 4487365135 4542416170 4996657787 7722107489 8974730270 9993315574 15444214978 24983288935 38610537445 49966577870 77221074890 84943182379 131275827313 169886364758 262551654626 424715911895 656379136565 849431823790 1312758273130 1444034100443 2888068200886 7220170502215 14440341004430