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14403014040 = 23351711236287
BaseRepresentation
bin11010110100111110…
…01000110110011000
31101011202210220220110
431122133020312120
5213444132422130
610341110324320
71016630412402
oct153237106630
941152726813
1014403014040
116121142698
12295b6596a0
131486c6731c
149a8c23b72
155946deab0
hex35a7c8d98

14403014040 has 128 divisors (see below), whose sum is σ = 45798773760. Its totient is φ = 3611080704.

The previous prime is 14403014039. The next prime is 14403014047. The reversal of 14403014040 is 4041030441.

It is a junction number, because it is equal to n+sod(n) for n = 14403013998 and 14403014016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14403014047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287777 + ... + 2294063.

It is an arithmetic number, because the mean of its divisors is an integer number (357802920).

Almost surely, 214403014040 is an apocalyptic number.

14403014040 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 14403014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22899386880).

14403014040 is an abundant number, since it is smaller than the sum of its proper divisors (31395759720).

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

14403014040 is a wasteful number, since it uses less digits than its factorization.

14403014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7441 (or 7437 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14403014040 its reverse (4041030441), we get a palindrome (18444044481).

The spelling of 14403014040 in words is "fourteen billion, four hundred three million, fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1123 2040 2246 3369 4492 5615 6287 6738 8984 11230 12574 13476 16845 18861 19091 22460 25148 26952 31435 33690 37722 38182 44920 50296 57273 62870 67380 75444 76364 94305 95455 106879 114546 125740 134760 150888 152728 188610 190910 213758 229092 251480 286365 320637 377220 381820 427516 458184 534395 572730 641274 754440 763640 855032 1068790 1145460 1282548 1603185 2137580 2290920 2565096 3206370 4275160 6412740 7060301 12825480 14120602 21180903 28241204 35301505 42361806 56482408 70603010 84723612 105904515 120025117 141206020 169447224 211809030 240050234 282412040 360075351 423618060 480100468 600125585 720150702 847236120 960200936 1200251170 1440301404 1800376755 2400502340 2880602808 3600753510 4801004680 7201507020 14403014040