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34103444166 = 232112192335831
BaseRepresentation
bin11111110000101110…
…010100001011000110
310021000201122110112200
4133300232110023012
51024320440203131
623400015055330
72315054330631
oct376056241306
9107021573480
1034103444166
1113510561400
126739211546
1332a6564b7c
141917408c18
15d48ed42e6
hex7f0b942c6

34103444166 has 144 divisors (see below), whose sum is σ = 89213080320. Its totient is φ = 9364528800.

The previous prime is 34103444117. The next prime is 34103444191. The reversal of 34103444166 is 66144430143.

It is a self number, because there is not a number n which added to its sum of digits gives 34103444166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 933871 + ... + 969701.

It is an arithmetic number, because the mean of its divisors is an integer number (619535280).

Almost surely, 234103444166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34103444166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44606540160).

34103444166 is an abundant number, since it is smaller than the sum of its proper divisors (55109636154).

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

34103444166 is a wasteful number, since it uses less digits than its factorization.

34103444166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35903 (or 35889 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34103444166 in words is "thirty-four billion, one hundred three million, four hundred forty-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 19 22 23 33 38 46 57 66 69 99 114 121 138 171 198 207 209 242 253 342 363 414 418 437 506 627 726 759 874 1089 1254 1311 1518 1881 2178 2277 2299 2622 2783 3762 3933 4554 4598 4807 5566 6897 7866 8349 9614 13794 14421 16698 20691 25047 28842 35831 41382 43263 50094 52877 71662 86526 105754 107493 158631 214986 317262 322479 394141 475893 644958 680789 788282 824113 951786 1182423 1361578 1648226 2042367 2364846 2472339 3547269 4084734 4335551 4944678 6127101 7094538 7417017 7488679 8671102 9065243 12254202 13006653 14834034 14977358 15658147 18130486 22466037 26013306 27195729 31316294 39019959 44932074 46974441 54391458 67398111 78039918 81587187 82375469 93948882 99717673 134796222 140923323 163174374 164750938 172239617 199435346 247126407 281846646 299153019 344479234 494252814 516718851 598306038 741379221 897459057 1033437702 1482758442 1550156553 1794918114 1894635787 3100313106 3789271574 5683907361 11367814722 17051722083 34103444166