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14441301042 = 23723291932671
BaseRepresentation
bin11010111001100010…
…01100010000110010
31101021102212002210120
431130301030100302
5214033433113132
610344555111110
71020604014330
oct153461142062
941242762716
1014441301042
116140813243
122970442496
131491b8125c
149add4cb50
15597c5402c
hex35cc4c432

14441301042 has 128 divisors (see below), whose sum is σ = 35829596160. Its totient is φ = 3789434880.

The previous prime is 14441301031. The next prime is 14441301047. The reversal of 14441301042 is 24010314441.

It is not an unprimeable number, because it can be changed into a prime (14441301047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5405367 + ... + 5408037.

It is an arithmetic number, because the mean of its divisors is an integer number (279918720).

Almost surely, 214441301042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14441301042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17914798080).

14441301042 is an abundant number, since it is smaller than the sum of its proper divisors (21388295118).

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

14441301042 is a wasteful number, since it uses less digits than its factorization.

14441301042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14441301042 its reverse (24010314441), we get a palindrome (38451615483).

The spelling of 14441301042 in words is "fourteen billion, four hundred forty-one million, three hundred one thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 58 69 87 138 161 174 193 203 322 386 406 483 579 609 667 966 1158 1218 1334 1351 2001 2671 2702 4002 4053 4439 4669 5342 5597 8013 8106 8878 9338 11194 13317 14007 16026 16791 18697 26634 28014 31073 33582 37394 39179 56091 61433 62146 77459 78358 93219 112182 117537 122866 128731 154918 184299 186438 232377 235074 257462 368598 386193 430031 464754 515503 542213 772386 860062 901117 1031006 1084426 1290093 1546509 1626639 1781557 1802234 2580186 2703351 3093018 3253278 3563114 3608521 5344671 5406702 7217042 10689342 10825563 11856569 12470899 14949587 21651126 23713138 24941798 29899174 35569707 37412697 44848761 71139414 74825394 82995983 89697522 104647109 165991966 209294218 248987949 313941327 343840501 497975898 627882654 687681002 1031521503 2063043006 2406883507 4813767014 7220650521 14441301042