Search a number
-
+
30013042463460 = 22325729821374999
BaseRepresentation
bin1101101001011111101001…
…01111000001001011100100
310221021012220112101112212100
412310233310233001023210
512413213202332312320
6143455445032252100
76215241112452060
oct664576457011344
9127235815345770
1030013042463460
119621507039981
12344888b241030
1313992aa55ab54
1475a8d360aaa0
15370a94d17790
hex1b4bf4bc12e4

30013042463460 has 144 divisors (see below), whose sum is σ = 107632980000000. Its totient is φ = 6623567983872.

The previous prime is 30013042463413. The next prime is 30013042463471. The reversal of 30013042463460 is 6436424031003.

30013042463460 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 304 + 2 + 4 + 6 + 346 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410650960 + ... + 410724039.

It is an arithmetic number, because the mean of its divisors is an integer number (747451250000).

Almost surely, 230013042463460 is an apocalyptic number.

30013042463460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30013042463460 is an abundant number, since it is smaller than the sum of its proper divisors (77619937536540).

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

30013042463460 is a wasteful number, since it uses less digits than its factorization.

30013042463460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821375050 (or 821375045 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 30013042463460 its reverse (6436424031003), we get a palindrome (36449466494463).

The spelling of 30013042463460 in words is "thirty trillion, thirteen billion, forty-two million, four hundred sixty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 812 870 1015 1044 1218 1260 1305 1740 1827 2030 2436 2610 3045 3654 4060 5220 6090 7308 9135 12180 18270 36540 821374999 1642749998 2464124997 3285499996 4106874995 4928249994 5749624993 7392374991 8213749990 9856499988 11499249986 12320624985 14784749982 16427499980 17248874979 22998499972 23819874971 24641249970 28748124965 29569499964 34497749958 36961874955 47639749942 49282499940 51746624937 57496249930 68995499916 71459624913 73923749910 86244374895 95279499884 103493249874 114992499860 119099374855 142919249826 147847499820 166739124797 172488749790 206986499748 214378874739 238198749710 258733124685 285838499652 333478249594 344977499580 357298124565 428757749478 476397499420 500217374391 517466249370 666956499188 714596249130 833695623985 857515498956 1000434748782 1034932498740 1071894373695 1429192498260 1500652123173 1667391247970 2000869497564 2143788747390 2501086871955 3001304246346 3334782495940 4287577494780 5002173743910 6002608492692 7503260615865 10004347487820 15006521231730 30013042463460