Search a number
-
+
13340440442430 = 23252937138142699
BaseRepresentation
bin1100001000100001000000…
…1101101011011000111110
31202020100000020020212221200
43002020100031223120332
53222032210223124210
644212302544440330
72544546356536413
oct302102015533076
952210006225850
1013340440442430
114283715932a42
1215b55726190a6
13759cc8b9abaa
1434197602610a
1518203732e0c0
hexc221036b63e

13340440442430 has 96 divisors (see below), whose sum is σ = 36850946652000. Its totient is φ = 3341948150016.

The previous prime is 13340440442429. The next prime is 13340440442491. The reversal of 13340440442430 is 3424404404331.

13340440442430 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 0 + 4 + 404 + 4 + 243 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68974780 + ... + 69167919.

It is an arithmetic number, because the mean of its divisors is an integer number (383864027625).

Almost surely, 213340440442430 is an apocalyptic number.

13340440442430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13340440442430 is an abundant number, since it is smaller than the sum of its proper divisors (23510506209570).

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

13340440442430 is a wasteful number, since it uses less digits than its factorization.

13340440442430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138142778 (or 138142775 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 13340440442430 its reverse (3424404404331), we get a palindrome (16764844846761).

The spelling of 13340440442430 in words is "thirteen trillion, three hundred forty billion, four hundred forty million, four hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 37 45 58 74 87 90 111 145 174 185 222 261 290 333 370 435 522 555 666 870 1073 1110 1305 1665 2146 2610 3219 3330 5365 6438 9657 10730 16095 19314 32190 48285 96570 138142699 276285398 414428097 690713495 828856194 1243284291 1381426990 2072140485 2486568582 4006138271 4144280970 5111279863 6216421455 8012276542 10222559726 12018414813 12432842910 15333839589 20030691355 24036829626 25556399315 30667679178 36055244439 40061382710 46001518767 51112798630 60092074065 72110488878 76669197945 92003037534 120184148130 148227116027 153338395890 180276222195 230007593835 296454232054 360552444390 444681348081 460015187670 741135580135 889362696162 1334044044243 1482271160270 2223406740405 2668088088486 4446813480810 6670220221215 13340440442430