Search a number
-
+
242304431013240 = 233520143100243439
BaseRepresentation
bin110111000101111111100101…
…100010011011110101111000
31011202221002002102001202001120
4313011333211202123311320
5223224403433314410430
62215201041403545240
7102015626452656021
oct6705774542336570
91152832072052046
10242304431013240
1170229806497312
122321427b82b220
13a528295c1a81b
1443b985039dc48
151d02d6345a610
hexdc5fe589bd78

242304431013240 has 64 divisors (see below), whose sum is σ = 726949387929600. Its totient is φ = 64611306502272.

The previous prime is 242304431013187. The next prime is 242304431013277. The reversal of 242304431013240 is 42310134403242.

It is a super-2 number, since 2×2423044310132402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47704560 + ... + 52538879.

It is an arithmetic number, because the mean of its divisors is an integer number (11358584186400).

Almost surely, 2242304431013240 is an apocalyptic number.

242304431013240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242304431013240 is an abundant number, since it is smaller than the sum of its proper divisors (484644956916360).

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

242304431013240 is a wasteful number, since it uses less digits than its factorization.

242304431013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100263596 (or 100263592 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 242304431013240 its reverse (42310134403242), we get a palindrome (284614565416482).

The spelling of 242304431013240 in words is "two hundred forty-two trillion, three hundred four billion, four hundred thirty-one million, thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 20143 40286 60429 80572 100715 120858 161144 201430 241716 302145 402860 483432 604290 805720 1208580 2417160 100243439 200486878 300730317 400973756 501217195 601460634 801947512 1002434390 1202921268 1503651585 2004868780 2405842536 3007303170 4009737560 6014606340 12029212680 2019203591777 4038407183554 6057610775331 8076814367108 10096017958885 12115221550662 16153628734216 20192035917770 24230443101324 30288053876655 40384071835540 48460886202648 60576107753310 80768143671080 121152215506620 242304431013240