Search a number
-
+
242459680224 = 253109149155509
BaseRepresentation
bin1110000111001110111…
…0010001110111100000
3212011211102122220221110
43201303232101313200
512433024134231344
6303215012223320
723342243164116
oct3416356216740
9764742586843
10242459680224
1193910194413
123aba730ab40
1319b2cb54908
14ba41205ab6
156490d703b9
hex3873b91de0

242459680224 has 96 divisors (see below), whose sum is σ = 646610580000. Its totient is φ = 79540475904.

The previous prime is 242459680223. The next prime is 242459680327. The reversal of 242459680224 is 422086954242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242459680223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1481382 + ... + 1636890.

It is an arithmetic number, because the mean of its divisors is an integer number (6735526875).

Almost surely, 2242459680224 is an apocalyptic number.

242459680224 is a gapful number since it is divisible by the number (24) 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 242459680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323305290000).

242459680224 is an abundant number, since it is smaller than the sum of its proper divisors (404150899776).

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

242459680224 is a wasteful number, since it uses less digits than its factorization.

242459680224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155780 (or 155772 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 242459680224 in words is "two hundred forty-two billion, four hundred fifty-nine million, six hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 149 218 298 327 436 447 596 654 872 894 1192 1308 1744 1788 2384 2616 3488 3576 4768 5232 7152 10464 14304 16241 32482 48723 64964 97446 129928 155509 194892 259856 311018 389784 466527 519712 622036 779568 933054 1244072 1559136 1866108 2488144 3732216 4976288 7464432 14928864 16950481 23170841 33900962 46341682 50851443 67801924 69512523 92683364 101702886 135603848 139025046 185366728 203405772 271207696 278050092 370733456 406811544 542415392 556100184 741466912 813623088 1112200368 1627246176 2224400736 2525621669 5051243338 7576865007 10102486676 15153730014 20204973352 30307460028 40409946704 60614920056 80819893408 121229840112 242459680224