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4134030012 = 22327179471019
BaseRepresentation
bin1111011001101000…
…0100101010111100
3101200002220111001200
43312122010222330
531431302430022
61522114335500
7204305450430
oct36632045274
911602814050
104134030012
111831608a32
1297458a590
1350b61b608
142b30829c0
15192decbac
hexf6684abc

4134030012 has 144 divisors (see below), whose sum is σ = 12671043840. Its totient is φ = 1109408256.

The previous prime is 4134029993. The next prime is 4134030059. The reversal of 4134030012 is 2100304314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4056439 + ... + 4057457.

It is an arithmetic number, because the mean of its divisors is an integer number (87993360).

Almost surely, 24134030012 is an apocalyptic number.

4134030012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134030012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335521920).

4134030012 is an abundant number, since it is smaller than the sum of its proper divisors (8537013828).

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

4134030012 is a wasteful number, since it uses less digits than its factorization.

4134030012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4134030012 is about 64296.4230109265. The cubic root of 4134030012 is about 1604.9365776901.

Adding to 4134030012 its reverse (2100304314), we get a palindrome (6234334326).

The spelling of 4134030012 in words is "four billion, one hundred thirty-four million, thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 947 1019 1071 1428 1894 2038 2142 2841 3057 3788 4076 4284 5682 6114 6629 7133 8523 9171 11364 12228 13258 14266 16099 17046 17323 18342 19887 21399 26516 28532 32198 34092 34646 36684 39774 42798 48297 51969 59661 64197 64396 69292 79548 85596 96594 103938 112693 119322 121261 128394 144891 155907 193188 207876 225386 238644 242522 256788 289782 311814 338079 363783 450772 485044 579564 623628 676158 727566 964993 1014237 1091349 1352316 1455132 1929986 2028474 2182698 2894979 3859972 4056948 4365396 5789958 6754951 8684937 11579916 13509902 16404881 17369874 20264853 27019804 32809762 34739748 40529706 49214643 60794559 65619524 81059412 98429286 114834167 121589118 147643929 196858572 229668334 243178236 295287858 344502501 459336668 590575716 689005002 1033507503 1378010004 2067015006 4134030012