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14134413020 = 22571321735141
BaseRepresentation
bin11010010100111101…
…00000011011011100
31100111001101120120112
431022132200123130
5212421402204040
610254313305152
71010156346140
oct151236403334
940431346515
1014134413020
115aa3564782
1228a57051b8
131443411200
149812a5220
1557ad34365
hex34a7a06dc

14134413020 has 144 divisors (see below), whose sum is σ = 38894603328. Its totient is φ = 4210053120.

The previous prime is 14134412989. The next prime is 14134413047. The reversal of 14134413020 is 2031443141.

14134413020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384650 + ... + 419790.

It is an arithmetic number, because the mean of its divisors is an integer number (270101412).

Almost surely, 214134413020 is an apocalyptic number.

14134413020 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 14134413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19447301664).

14134413020 is an abundant number, since it is smaller than the sum of its proper divisors (24760190308).

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

14134413020 is a wasteful number, since it uses less digits than its factorization.

14134413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35200 (or 35185 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 14134413020 its reverse (2031443141), we get a palindrome (16165856161).

The spelling of 14134413020 in words is "fourteen billion, one hundred thirty-four million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 169 170 182 221 238 260 338 340 364 442 455 476 595 676 845 884 910 1105 1183 1190 1547 1690 1820 2210 2366 2380 2873 3094 3380 4420 4732 5746 5915 6188 7735 11492 11830 14365 15470 20111 23660 28730 30940 35141 40222 57460 70282 80444 100555 140564 175705 201110 245987 351410 402220 456833 491974 597397 702820 913666 983948 1194794 1229935 1827332 2284165 2389588 2459870 2986985 3197831 4181779 4568330 4919740 5938829 5973970 6395662 7766161 8363558 9136660 11877658 11947940 12791324 15532322 15989155 16727116 20908895 23755316 29694145 31064644 31978310 38830805 41571803 41817790 54363127 59388290 63956620 77661610 83143606 83635580 100960093 108726254 118776580 155323220 166287212 201920186 207859015 217452508 271815635 403840372 415718030 504800465 543631270 706720651 831436060 1009600930 1087262540 1413441302 2019201860 2826882604 3533603255 7067206510 14134413020