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242301443312313 = 327211290271720769
BaseRepresentation
bin110111000101111100110011…
…011101010000101010111001
31011202220210101012011210212200
4313011330303131100222321
5223224331323441443223
62215155425115100413
7102015462433636500
oct6705746335205271
91152823335153780
10242301443312313
1170228512a673a0
1223213787141709
13a527c0ac51458
1443b9649679837
151d02c3aee5a43
hexdc5f33750ab9

242301443312313 has 72 divisors (see below), whose sum is σ = 444159948791520. Its totient is φ = 125866470159360.

The previous prime is 242301443312273. The next prime is 242301443312347. The reversal of 242301443312313 is 313213344103242.

242301443312313 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 0 + 1 + 4 + 4 + 331 + 2 + 313 = 666.

It is not a de Polignac number, because 242301443312313 - 212 = 242301443308217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242301443312353) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139949593 + ... + 141670361.

It is an arithmetic number, because the mean of its divisors is an integer number (6168888177660).

Almost surely, 2242301443312313 is an apocalyptic number.

It is an amenable number.

242301443312313 is a deficient number, since it is larger than the sum of its proper divisors (201858505479207).

242301443312313 is a wasteful number, since it uses less digits than its factorization.

242301443312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749827 (or 1749817 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 242301443312313 its reverse (313213344103242), we get a palindrome (555514787415555).

The spelling of 242301443312313 in words is "two hundred forty-two trillion, three hundred one billion, four hundred forty-three million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 29027 87081 203189 261243 319297 609567 957891 1422323 1720769 1828701 2235079 2873673 4266969 5162307 6705237 12045383 12800907 15486921 15645553 18928459 20115711 36136149 46936659 56785377 84317681 108408447 132499213 140809977 170356131 252953043 397497639 758859129 927494491 1192492917 2782483473 8347450419 49948761763 149846285289 349641332341 449538855867 549436379393 1048923997023 1648309138179 2447489326387 3146771991069 3846054655751 4944927414537 7342467979161 11538163967253 22027403937483 26922382590257 34614491901759 80767147770771 242301443312313