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14040663460 = 2251783647769
BaseRepresentation
bin11010001001110001…
…11000010110100100
31100020111222121100121
431010320320112210
5212223402212320
610241124051324
71004640445615
oct150470702644
940214877317
1014040663460
115a556522aa
12287a233b44
131429b786b5
14972a5dc0c
155729b68aa
hex344e385a4

14040663460 has 96 divisors (see below), whose sum is σ = 31685955840. Its totient is φ = 5207359488.

The previous prime is 14040663431. The next prime is 14040663479. The reversal of 14040663460 is 6436604041.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 18257956 + ... + 18258724.

It is an arithmetic number, because the mean of its divisors is an integer number (330062040).

Almost surely, 214040663460 is an apocalyptic number.

14040663460 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 14040663460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842977920).

14040663460 is an abundant number, since it is smaller than the sum of its proper divisors (17645292380).

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

14040663460 is a wasteful number, since it uses less digits than its factorization.

14040663460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 14040663460 in words is "fourteen billion, forty million, six hundred sixty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 83 85 166 170 332 340 415 647 769 830 1294 1411 1538 1660 2588 2822 3076 3235 3845 5644 6470 7055 7690 10999 12940 13073 14110 15380 21998 26146 28220 43996 52292 53701 54995 63827 65365 107402 109990 127654 130730 214804 219980 255308 261460 268505 319135 497543 537010 638270 912917 995086 1074020 1085059 1276540 1825834 1990172 2170118 2487715 3651668 4340236 4564585 4975430 5425295 8458231 9129170 9950860 10850590 16916462 18258340 21701180 33832924 41296069 42291155 82592138 84582310 165184276 169164620 206480345 412960690 702033173 825921380 1404066346 2808132692 3510165865 7020331730 14040663460