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242024420313 = 33133743433393
BaseRepresentation
bin1110000101100111000…
…1111001001111011001
3212010201002122102121000
43201121301321033121
512431131222422223
6303103503135213
723325406425564
oct3413161711731
9763632572530
10242024420313
1193707526185
123aaa55a4509
1319a90919180
14b9dd4a34db
156467a44543
hex3859c793d9

242024420313 has 64 divisors (see below), whose sum is σ = 405795470080. Its totient is φ = 141542360064.

The previous prime is 242024420291. The next prime is 242024420359. The reversal of 242024420313 is 313024420242.

242024420313 is a `hidden beast` number, since 2 + 4 + 202 + 4 + 420 + 31 + 3 = 666.

It is not a de Polignac number, because 242024420313 - 29 = 242024419801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242024420383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341745 + ... + 775137.

It is an arithmetic number, because the mean of its divisors is an integer number (6340554220).

Almost surely, 2242024420313 is an apocalyptic number.

It is an amenable number.

242024420313 is a deficient number, since it is larger than the sum of its proper divisors (163771049767).

242024420313 is a wasteful number, since it uses less digits than its factorization.

242024420313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433495 (or 433489 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 242024420313 its reverse (313024420242), we get a palindrome (555048840555).

The spelling of 242024420313 in words is "two hundred forty-two billion, twenty-four million, four hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 9 13 27 37 39 43 111 117 129 333 351 387 481 559 999 1161 1443 1591 1677 4329 4773 5031 12987 14319 15093 20683 42957 62049 186147 433393 558441 1300179 3900537 5634109 11701611 16035541 16902327 18635899 48106623 50706981 55907697 144319869 152120943 167723091 208462033 242266687 432959607 503169273 625386099 689528263 726800061 1876158297 2068584789 2180400183 5628474891 6205754367 6541200549 8963867419 18617263101 26891602257 80674806771 242024420313