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14442030141 = 372113223331
BaseRepresentation
bin11010111001100111…
…11110010000111101
31101021111020010221020
431130303332100331
5214034124431031
610345022454353
71020613142100
oct153463762075
941244203836
1014442030141
116141171000
1229707343b9
131492078086
149b009c737
15597d4a096
hex35ccfe43d

14442030141 has 96 divisors (see below), whose sum is σ = 24823443456. Its totient is φ = 7446146400.

The previous prime is 14442030137. The next prime is 14442030149. The reversal of 14442030141 is 14103024441.

It is not a de Polignac number, because 14442030141 - 22 = 14442030137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14442030149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43631346 + ... + 43631676.

It is an arithmetic number, because the mean of its divisors is an integer number (258577536).

Almost surely, 214442030141 is an apocalyptic number.

14442030141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14442030141 is a deficient number, since it is larger than the sum of its proper divisors (10381413315).

14442030141 is a wasteful number, since it uses less digits than its factorization.

14442030141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 575 counting only the distinct ones).

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

Adding to 14442030141 its reverse (14103024441), we get a palindrome (28545054582).

The spelling of 14442030141 in words is "fourteen billion, four hundred forty-two million, thirty thousand, one hundred forty-one".

Divisors: 1 3 7 11 21 33 49 77 121 147 223 231 331 363 539 669 847 993 1331 1561 1617 2317 2453 2541 3641 3993 4683 5929 6951 7359 9317 10923 10927 16219 17171 17787 25487 26983 27951 32781 40051 48657 51513 65219 73813 76461 80949 120153 120197 178409 188881 195657 221439 280357 296813 360591 440561 516691 535227 566643 811943 841071 890439 1321683 1322167 1550073 1962499 2077691 2435829 3083927 3616837 3966501 5683601 5887497 6233073 8931373 9251781 10850511 14543837 17050803 21587489 26794119 39785207 43631511 62519611 64762467 98245103 119355621 187558833 294735309 437637277 687715721 1312911831 2063147163 4814010047 14442030141