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14301443040 = 2535115325841
BaseRepresentation
bin11010101000110111…
…01011001111100000
31100220200200120200120
431110123223033200
5213242132134130
610323041320240
71014255155133
oct152433531740
940820616616
1014301443040
116079878915
122931636080
13146bbc3741
1499954421a
1558a829910
hex3546eb3e0

14301443040 has 96 divisors (see below), whose sum is σ = 45090362016. Its totient is φ = 3810263040.

The previous prime is 14301443027. The next prime is 14301443047. The reversal of 14301443040 is 4034410341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14301443040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14301443047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540520 + ... + 566360.

It is an arithmetic number, because the mean of its divisors is an integer number (469691271).

Almost surely, 214301443040 is an apocalyptic number.

14301443040 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 14301443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22545181008).

14301443040 is an abundant number, since it is smaller than the sum of its proper divisors (30788918976).

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

14301443040 is a wasteful number, since it uses less digits than its factorization.

14301443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27012 (or 27004 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14301443040 its reverse (4034410341), we get a palindrome (18335853381).

The spelling of 14301443040 in words is "fourteen billion, three hundred one million, four hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1153 2306 3459 4612 5765 6918 9224 11530 13836 17295 18448 23060 25841 27672 34590 36896 46120 51682 55344 69180 77523 92240 103364 110688 129205 138360 155046 184480 206728 258410 276720 310092 387615 413456 516820 553440 620184 775230 826912 1033640 1240368 1550460 2067280 2480736 3100920 4134560 6201840 12403680 29794673 59589346 89384019 119178692 148973365 178768038 238357384 297946730 357536076 446920095 476714768 595893460 715072152 893840190 953429536 1191786920 1430144304 1787680380 2383573840 2860288608 3575360760 4767147680 7150721520 14301443040