Search a number
-
+
242520550041 = 3711471031371583
BaseRepresentation
bin1110000111011101011…
…0011110101010011001
3212011222200012102122010
43201313112132222121
512433140230100131
6303225025020133
723343612443130
oct3416726365231
9764880172563
10242520550041
1193941589850
123b003784649
1319b3c647763
14ba4932c917
156496395b46
hex387759ea99

242520550041 has 128 divisors (see below), whose sum is σ = 419025125376. Its totient is φ = 121139182080.

The previous prime is 242520550037. The next prime is 242520550067. The reversal of 242520550041 is 140055025242.

It is not a de Polignac number, because 242520550041 - 22 = 242520550037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242520549990 and 242520550008.

It is not an unprimeable number, because it can be changed into a prime (242520550241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153202336 + ... + 153203918.

It is an arithmetic number, because the mean of its divisors is an integer number (3273633792).

Almost surely, 2242520550041 is an apocalyptic number.

242520550041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242520550041 is a deficient number, since it is larger than the sum of its proper divisors (176504575335).

242520550041 is a wasteful number, since it uses less digits than its factorization.

242520550041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891.

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 242520550041 its reverse (140055025242), we get a palindrome (382575575283).

The spelling of 242520550041 in words is "two hundred forty-two billion, five hundred twenty million, five hundred fifty thousand, forty-one".

Divisors: 1 3 7 11 21 33 47 77 103 137 141 231 309 329 411 517 721 959 987 1133 1507 1551 1583 2163 2877 3399 3619 4521 4749 4841 6439 7931 10549 10857 11081 14111 14523 17413 19317 23793 31647 33243 33887 42333 45073 52239 53251 70829 74401 98777 101661 121891 135219 155221 159753 163049 212487 216871 223203 296331 365673 372757 465663 489147 495803 520807 650613 663217 818411 1086547 1118271 1141343 1487409 1518097 1562421 1793539 1989651 2385581 2455233 3259641 3424029 4554291 4642519 5380617 5728877 7156743 7295387 7663303 10192937 12554773 13927557 16699067 17186631 21886161 22337713 22989909 30578811 37664319 50097201 51067709 53643121 67013139 71350559 84296333 112122307 153203127 156363991 160929363 214051677 245714843 252888999 336366921 469091973 590074331 737144529 784856149 1049872511 1720003901 1770222993 2354568447 3149617533 5160011703 7349107577 11548597621 22047322731 34645792863 80840183347 242520550041