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242654440336 = 247111719160659
BaseRepresentation
bin1110000111111101010…
…1001110101110010000
3212012100000010202120221
43201333111032232100
512433424014042321
6303250210442424
723350126465630
oct3417725165620
9765300122527
10242654440336
1193a00118590
123b040593414
1319b612c5b99
14ba5d0226c0
1564a2ee1e41
hex387f54eb90

242654440336 has 160 divisors (see below), whose sum is σ = 623891496960. Its totient is φ = 88512153600.

The previous prime is 242654440313. The next prime is 242654440337. The reversal of 242654440336 is 633044456242.

It is a super-3 number, since 3×2426544403363 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242654440292 and 242654440301.

It is not an unprimeable number, because it can be changed into a prime (242654440337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3969975 + ... + 4030633.

It is an arithmetic number, because the mean of its divisors is an integer number (3899321856).

Almost surely, 2242654440336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242654440336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311945748480).

242654440336 is an abundant number, since it is smaller than the sum of its proper divisors (381237056624).

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

242654440336 is a wasteful number, since it uses less digits than its factorization.

242654440336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60893 (or 60887 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 43.

Adding to 242654440336 its reverse (633044456242), we get a palindrome (875698896578).

The spelling of 242654440336 in words is "two hundred forty-two billion, six hundred fifty-four million, four hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 191 238 272 308 374 382 476 616 748 764 952 1232 1309 1337 1496 1528 1904 2101 2618 2674 2992 3056 3247 4202 5236 5348 6494 8404 10472 10696 12988 14707 16808 20944 21392 22729 25976 29414 33616 35717 45458 51952 58828 60659 71434 90916 117656 121318 142868 181832 235312 242636 250019 285736 363664 424613 485272 500038 571472 667249 849226 970544 1000076 1031203 1334498 1698452 2000152 2062406 2668996 3396904 4000304 4124812 4670743 5337992 6793808 7218421 8249624 9341486 10675984 11343233 11585869 14436842 16499248 18682972 22686466 23171738 28873684 37365944 45372932 46343476 57747368 74731888 79402631 81101083 90745864 92686952 115494736 127444559 158805262 162202166 181491728 185373904 196959773 254889118 317610524 324404332 393919546 509778236 635221048 648808664 787839092 892111913 1019556472 1270442096 1297617328 1378718411 1575678184 1784223826 2039112944 2166557503 2757436822 3151356368 3568447652 4333115006 5514873644 7136895304 8666230012 11029747288 14273790608 15165902521 17332460024 22059494576 30331805042 34664920048 60663610084 121327220168 242654440336