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14003332322440 = 23529293296913877
BaseRepresentation
bin1100101111000110011110…
…1001100001010010001000
31211120201001022021110210011
43023301213221201102020
53313412311033304230
645441013030201304
72643464425543246
oct313614751412210
954521038243704
1014003332322440
11450986403687a
1216a1b337b3234
137a767c442386
14365a9cc5d796
151943d3737e2a
hexcbc67a61488

14003332322440 has 128 divisors (see below), whose sum is σ = 32718578508000. Its totient is φ = 5387521957888.

The previous prime is 14003332322437. The next prime is 14003332322477. The reversal of 14003332322440 is 4422323330041.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 34880836 + 14003297441604 = 5906^2 + 3742098^2 .

It is a super-2 number, since 2×140033323224402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009096782 + ... + 1009110658.

Almost surely, 214003332322440 is an apocalyptic number.

14003332322440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14003332322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16359289254000).

14003332322440 is an abundant number, since it is smaller than the sum of its proper divisors (18715246185560).

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

14003332322440 is a wasteful number, since it uses less digits than its factorization.

14003332322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17179 (or 17175 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 14003332322440 its reverse (4422323330041), we get a palindrome (18425655652481).

The spelling of 14003332322440 in words is "fourteen trillion, three billion, three hundred thirty-two million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 293 580 586 1160 1172 1465 2344 2930 2969 5860 5938 8497 11720 11876 13877 14845 16994 23752 27754 29690 33988 42485 55508 59380 67976 69385 84970 86101 111016 118760 138770 169940 172202 277540 339880 344404 402433 430505 555080 688808 804866 861010 869917 1609732 1722020 1739834 2012165 3219464 3444040 3479668 4024330 4065961 4349585 6959336 8048660 8131922 8699170 16097320 16263844 17398340 20329805 25227593 32527688 34796680 40659610 41200813 50455186 81319220 82401626 100910372 117912869 126137965 162638440 164803252 201820744 206004065 235825738 252275930 329606504 412008130 471651476 504551860 589564345 824016260 943302952 1009103720 1179128690 1194823577 1648032520 2358257380 2389647154 4716514760 4779294308 5974117885 9558588616 11948235770 12071838209 23896471540 24143676418 47792943080 48287352836 60359191045 96574705672 120718382090 241436764180 350083308061 482873528360 700166616122 1400333232244 1750416540305 2800666464488 3500833080610 7001666161220 14003332322440