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42103142334 = 233113585791
BaseRepresentation
bin100111001101100010…
…101111011110111110
311000200020111020102000
4213031202233132332
51142211401023314
631201504243130
73020232543051
oct471542573676
9130606436360
1042103142334
1116946143000
1281b03104a6
133c7ca00796
142075a34a98
151166470209
hex9cd8af7be

42103142334 has 64 divisors (see below), whose sum is σ = 102911938560. Its totient is φ = 12758506200.

The previous prime is 42103142309. The next prime is 42103142377. The reversal of 42103142334 is 43324130124.

42103142334 is a `hidden beast` number, since 4 + 2 + 10 + 314 + 2 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42103142298 and 42103142307.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 221022 + ... + 364769.

It is an arithmetic number, because the mean of its divisors is an integer number (1607999040).

Almost surely, 242103142334 is an apocalyptic number.

42103142334 is an abundant number, since it is smaller than the sum of its proper divisors (60808796226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42103142334 is a wasteful number, since it uses less digits than its factorization.

42103142334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585835 (or 585807 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42103142334 its reverse (43324130124), we get a palindrome (85427272458).

The spelling of 42103142334 in words is "forty-two billion, one hundred three million, one hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 1331 2178 2662 3267 3993 6534 7986 11979 23958 35937 71874 585791 1171582 1757373 3514746 5272119 6443701 10544238 12887402 15816357 19331103 31632714 38662206 57993309 70880711 115986618 141761422 173979927 212642133 347959854 425284266 637926399 779687821 1275852798 1559375642 1913779197 2339063463 3827558394 4678126926 7017190389 14034380778 21051571167 42103142334