Search a number
-
+
30412124041104 = 24321398391651163
BaseRepresentation
bin1101110101000110111111…
…10110011010111110010000
310222200101000012210020020100
412322203133312122332100
512441233012223303404
6144403045323412400
76256126533055641
oct672433766327620
9128611005706210
1030412124041104
1197657891a6a33
1234b20a6984100
1313c7b0a8224c0
14771d518196c8
1537b150c95d39
hex1ba8dfd9af90

30412124041104 has 120 divisors (see below), whose sum is σ = 91668134113920. Its totient is φ = 9356619891456.

The previous prime is 30412124041081. The next prime is 30412124041127. The reversal of 30412124041104 is 40114042121403.

30412124041104 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 2 + 1 + 240 + 411 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (30412124041081) and next prime (30412124041127).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17593027 + ... + 19244189.

It is an arithmetic number, because the mean of its divisors is an integer number (763901117616).

Almost surely, 230412124041104 is an apocalyptic number.

It is an amenable number.

30412124041104 is an abundant number, since it is smaller than the sum of its proper divisors (61256010072816).

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

30412124041104 is a wasteful number, since it uses less digits than its factorization.

30412124041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661029 (or 1661020 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 30412124041104 its reverse (40114042121403), we get a palindrome (70526166162507).

The spelling of 30412124041104 in words is "thirty trillion, four hundred twelve billion, one hundred twenty-four million, forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 9839 19678 29517 39356 59034 78712 88551 118068 127907 157424 177102 236136 255814 354204 383721 472272 511628 708408 767442 1023256 1151163 1416816 1534884 1651163 2046512 2302326 3069768 3302326 4604652 4953489 6139536 6604652 9209304 9906978 13209304 14860467 18418608 19813956 21465119 26418608 29720934 39627912 42930238 59441868 64395357 79255824 85860476 118883736 128790714 171720952 193186071 237767472 257581428 343441904 386372142 515162856 772744284 1030325712 1545488568 3090977136 16245792757 32491585514 48737378271 64983171028 97474756542 129966342056 146212134813 194949513084 211195305841 259932684112 292424269626 389899026168 422390611682 584848539252 633585917523 779798052336 844781223364 1169697078504 1267171835046 1689562446728 1900757752569 2339394157008 2534343670092 3379124893456 3801515505138 5068687340184 7603031010276 10137374680368 15206062020552 30412124041104