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242000505362 = 2711711071311579
BaseRepresentation
bin1110000101100001011…
…0101010101000010010
3212010122102122102110002
43201120112222220102
512431104112132422
6303101250410002
723324666232650
oct3413026525022
9763572572402
10242000505362
11936a4a81560
123aa99590902
1319a88994b05
14b9da239dd0
1564658bd692
hex38585aaa12

242000505362 has 128 divisors (see below), whose sum is σ = 467067617280. Its totient is φ = 91328328000.

The previous prime is 242000505361. The next prime is 242000505413. The reversal of 242000505362 is 263505000242.

It is not an unprimeable number, because it can be changed into a prime (242000505361) 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, 153261089 + ... + 153262667.

It is an arithmetic number, because the mean of its divisors is an integer number (3648965760).

Almost surely, 2242000505362 is an apocalyptic number.

242000505362 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242000505362 is a deficient number, since it is larger than the sum of its proper divisors (225067111918).

242000505362 is a wasteful number, since it uses less digits than its factorization.

242000505362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908.

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 242000505362 in words is "two hundred forty-two billion, five hundred five thousand, three hundred sixty-two".

Divisors: 1 2 7 11 14 22 71 77 107 131 142 154 214 262 497 749 781 917 994 1177 1441 1498 1562 1579 1834 2354 2882 3158 5467 7597 8239 9301 10087 10934 11053 14017 15194 16478 17369 18602 20174 22106 28034 34738 53179 65107 83567 98119 102311 106358 112109 121583 130214 154187 167134 168953 196238 204622 206849 224218 243166 308374 337906 413698 584969 716177 784763 995207 1079309 1169938 1182671 1233199 1432354 1447943 1569526 1858483 1990414 2158618 2275339 2365342 2466398 2895886 3716966 4550678 6966449 8632393 10947277 11995663 13009381 13932898 14686279 15927373 17264786 21894554 22132843 23991326 26018762 29372558 31854746 44265686 76630939 83969641 102803953 131952293 153261878 154929901 161549069 167939282 205607906 243461273 263904586 309859802 323098138 486922546 923666051 1130843483 1571431853 1704228911 1847332102 2261686966 3142863706 3408457822 11000022971 17285750383 22000045942 34571500766 121000252681 242000505362