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42835310343 = 3272296435209
BaseRepresentation
bin100111111001001011…
…101111011100000111
311002120021012020002200
4213321023233130013
51200211314412333
631402301205543
73044333062500
oct477113573407
9132507166080
1042835310343
1117191463731
1283755608b3
1340685c38a7
142104d83ba7
1511aa898c13
hex9f92ef707

42835310343 has 72 divisors (see below), whose sum is σ = 74586985200. Its totient is φ = 23591990016.

The previous prime is 42835310341. The next prime is 42835310393. The reversal of 42835310343 is 34301353824.

42835310343 is a `hidden beast` number, since 4 + 2 + 83 + 531 + 0 + 3 + 43 = 666.

It is not a de Polignac number, because 42835310343 - 21 = 42835310341 is a prime.

It is a super-2 number, since 2×428353103432 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42835310298 and 42835310307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42835310341) 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, 8220723 + ... + 8225931.

It is an arithmetic number, because the mean of its divisors is an integer number (1035930350).

Almost surely, 242835310343 is an apocalyptic number.

42835310343 is a deficient number, since it is larger than the sum of its proper divisors (31751674857).

42835310343 is a wasteful number, since it uses less digits than its factorization.

42835310343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5901 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 42835310343 in words is "forty-two billion, eight hundred thirty-five million, three hundred ten thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 441 609 643 1421 1827 1929 4263 4501 5209 5787 12789 13503 15627 18647 31507 36463 40509 46881 55941 94521 109389 130529 151061 167823 255241 283563 328167 391587 453183 765723 913703 1057427 1174761 1359549 2297169 2741109 3172281 3349387 7401989 8223327 9516843 10048161 22205967 23445709 30144483 66617901 70337127 97132223 164119963 211011381 291396669 492359889 679925561 874190007 1477079667 2039776683 4759478927 6119330049 14278436781 42835310343