Search a number
-
+
14153042540 = 2257131032733
BaseRepresentation
bin11010010111001011…
…00100101001101100
31100112100110001110202
431023211210221230
5212441134330130
610300220453032
71010503606460
oct151345445154
940470401422
1014153042540
11600302937a
1228ab9aa178
1314472348b0
149839544a0
1557c7b4145
hex34b964a6c

14153042540 has 144 divisors (see below), whose sum is σ = 36989160768. Its totient is φ = 4429665792.

The previous prime is 14153042539. The next prime is 14153042557. The reversal of 14153042540 is 4524035141.

14153042540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141530425402 (a number of 21 digits) contains 22 as substring.

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, 19308014 + ... + 19308746.

It is an arithmetic number, because the mean of its divisors is an integer number (256869172).

Almost surely, 214153042540 is an apocalyptic number.

14153042540 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 14153042540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18494580384).

14153042540 is an abundant number, since it is smaller than the sum of its proper divisors (22836118228).

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

14153042540 is a wasteful number, since it uses less digits than its factorization.

14153042540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 14153042540 its reverse (4524035141), we get a palindrome (18677077681).

The spelling of 14153042540 in words is "fourteen billion, one hundred fifty-three million, forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 103 130 140 182 206 260 364 412 455 515 721 733 910 1030 1339 1442 1466 1820 2060 2678 2884 2932 3605 3665 5131 5356 6695 7210 7330 9373 9529 10262 10609 13390 14420 14660 18746 19058 20524 21218 25655 26780 37492 38116 42436 46865 47645 51310 53045 66703 74263 75499 93730 95290 102620 106090 133406 137917 148526 150998 187460 190580 212180 266812 275834 297052 301996 333515 371315 377495 528493 551668 667030 689585 742630 754990 965419 981487 1056986 1334060 1379170 1485260 1509980 1930838 1962974 2113972 2642465 2758340 3861676 3925948 4827095 4907435 5284930 6870409 7776397 9654190 9814870 10569860 13740818 15552794 19308380 19629740 27481636 31105588 34352045 38881985 54434779 68704090 77763970 101093161 108869558 137408180 155527940 202186322 217739116 272173895 404372644 505465805 544347790 707652127 1010931610 1088695580 1415304254 2021863220 2830608508 3538260635 7076521270 14153042540