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238921302690291 = 313313372150211
BaseRepresentation
bin110110010100110000110011…
…011000000100100111110011
31011022221122122101021002112110
4312110300303120010213303
5222303441311442042131
62204050533050500403
7101216331415464504
oct6624606330044763
91138848571232473
10238921302690291
116a144a567809a1
1222968670a34703
13a34124a2c3660
1442ddbd1d3cbab
151c94d585e8646
hexd94c336049f3

238921302690291 has 96 divisors (see below), whose sum is σ = 364344152180736. Its totient is φ = 138439159862400.

The previous prime is 238921302690281. The next prime is 238921302690293. The reversal of 238921302690291 is 192096203129832.

It is a happy number.

It is not a de Polignac number, because 238921302690291 - 215 = 238921302657523 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238921302690293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1590496176 + ... + 1590646386.

It is an arithmetic number, because the mean of its divisors is an integer number (3795251585216).

Almost surely, 2238921302690291 is an apocalyptic number.

238921302690291 is a deficient number, since it is larger than the sum of its proper divisors (125422849490445).

238921302690291 is an equidigital number, since it uses as much as digits as its factorization.

238921302690291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150394 (or 150295 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 238921302690291 in words is "two hundred thirty-eight trillion, nine hundred twenty-one billion, three hundred two million, six hundred ninety thousand, two hundred ninety-one".

Divisors: 1 3 13 31 37 39 93 111 403 481 961 1147 1209 1369 1443 2883 3441 4107 12493 14911 17797 29791 35557 37479 42439 44733 53391 89373 106671 127317 150211 387283 450633 462241 551707 1102267 1161849 1315609 1386723 1655121 1952743 3306801 3946827 4656541 5557807 5858229 13969623 14329471 16673421 17102917 40783879 42988413 51308751 60535033 72251491 122351637 144352771 172292017 181605099 205638859 216754473 433058313 516876051 530190427 616916577 1590571281 1876586023 2239796221 2673305167 4474935901 5341052527 5629758069 6374804629 6719388663 8019915501 13424807703 16023157581 19124413887 58174166713 69433682851 82872460177 165572628337 174522500139 197618943499 208301048553 248617380531 496717885011 592856830497 2152444168381 2569046265487 6126187248469 6457332505143 7707138796461 18378561745407 79640434230097 238921302690291