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14441140304 = 2419241439449
BaseRepresentation
bin11010111001100001…
…00101000001010000
31101021102112221022022
431130300211001100
5214033412442204
610344551431012
71020602444603
oct153460450120
941242487268
1014441140304
1161407134a8
122970385468
131491b26046
149add0a33a
15597c215be
hex35cc25050

14441140304 has 80 divisors (see below), whose sum is σ = 29707920000. Its totient is φ = 6781501440.

The previous prime is 14441140303. The next prime is 14441140313. The reversal of 14441140304 is 40304114441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14441140303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32162672 + ... + 32163120.

It is an arithmetic number, because the mean of its divisors is an integer number (371349000).

Almost surely, 214441140304 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 14441140304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14853960000).

14441140304 is an abundant number, since it is smaller than the sum of its proper divisors (15266779696).

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

14441140304 is a wasteful number, since it uses less digits than its factorization.

14441140304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14441140304 its reverse (40304114441), we get a palindrome (54745254745).

The spelling of 14441140304 in words is "fourteen billion, four hundred forty-one million, one hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 241 304 439 449 482 878 898 964 1756 1796 1928 3512 3592 3856 4579 7024 7184 8341 8531 9158 16682 17062 18316 33364 34124 36632 66728 68248 73264 105799 108209 133456 136496 197111 211598 216418 394222 423196 432836 788444 846392 865672 1576888 1692784 1731344 2010181 2055971 3153776 3745109 4020362 4111942 7490218 8040724 8223884 14980436 16081448 16447768 29960872 32162896 32895536 47503751 59921744 95007502 190015004 380030008 760060016 902571269 1805142538 3610285076 7220570152 14441140304