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42284148291 = 327112192910067
BaseRepresentation
bin100111011000010101…
…001110011001000011
311001010212002021220100
4213120111032121003
51143044220221131
631231452013443
73024561221160
oct473025163103
9131125067810
1042284148291
1116a29332500
128240a61283
133cab3674b8
142091ab1067
1511772c67e6
hex9d854e643

42284148291 has 144 divisors (see below), whose sum is σ = 83556345600. Its totient is φ = 20090125440.

The previous prime is 42284148289. The next prime is 42284148301. The reversal of 42284148291 is 19284148224.

42284148291 is a `hidden beast` number, since 4 + 2 + 2 + 84 + 1 + 482 + 91 = 666.

It is not a de Polignac number, because 42284148291 - 21 = 42284148289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42284148271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4195240 + ... + 4205306.

It is an arithmetic number, because the mean of its divisors is an integer number (580252400).

Almost surely, 242284148291 is an apocalyptic number.

42284148291 is a deficient number, since it is larger than the sum of its proper divisors (41272197309).

42284148291 is a wasteful number, since it uses less digits than its factorization.

42284148291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10150 (or 10136 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 42284148291 in words is "forty-two billion, two hundred eighty-four million, one hundred forty-eight thousand, two hundred ninety-one".

Divisors: 1 3 7 9 11 19 21 29 33 57 63 77 87 99 121 133 171 203 209 231 261 319 363 399 551 609 627 693 847 957 1089 1197 1463 1653 1827 1881 2233 2299 2541 2871 3509 3857 4389 4959 6061 6699 6897 7623 10067 10527 11571 13167 16093 18183 20097 20691 24563 30201 31581 34713 42427 48279 54549 66671 70469 73689 90603 110737 127281 144837 191273 200013 211407 221067 291943 332211 381843 466697 573819 600039 634221 775159 875829 996633 1218107 1338911 1400091 1721457 2043601 2104003 2325477 2627487 3211373 3654321 4016733 4200273 5546917 6130803 6312009 6976431 8526749 9634119 10962963 12050199 14728021 16640751 18392409 18936027 22479611 23144033 25580247 28902357 35325103 38828419 44184063 49922253 61016087 67438833 69432099 76740741 105975309 116485257 132552189 162008231 183048261 202316499 208296297 247275721 317925927 349455771 427112609 486024693 549144783 671176957 741827163 1281337827 1458074079 2013530871 2225481489 3844013481 4698238699 6040592613 14094716097 42284148291