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30144311121134 = 27192337391733997
BaseRepresentation
bin1101101101010100001001…
…11101001101010011101110
310221201202201212112021122102
412312222010331031103232
512422341022121334014
6144040034431215102
76230566062600620
oct666520475152356
9127652655467572
1030144311121134
119672148849321
12346a204977492
1313a879a2156a2
14762dc7398c10
153741c92298de
hex1b6a84f4d4ee

30144311121134 has 128 divisors (see below), whose sum is σ = 58311454832640. Its totient is φ = 11387265348096.

The previous prime is 30144311121121. The next prime is 30144311121139. The reversal of 30144311121134 is 43112111344103.

It is a junction number, because it is equal to n+sod(n) for n = 30144311121097 and 30144311121106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144311121139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 886658624 + ... + 886692620.

It is an arithmetic number, because the mean of its divisors is an integer number (455558240880).

Almost surely, 230144311121134 is an apocalyptic number.

30144311121134 is a deficient number, since it is larger than the sum of its proper divisors (28167143711506).

30144311121134 is a wasteful number, since it uses less digits than its factorization.

30144311121134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38002.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 30144311121134 its reverse (43112111344103), we get a palindrome (73256422465237).

The spelling of 30144311121134 in words is "thirty trillion, one hundred forty-four billion, three hundred eleven million, one hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 7 14 19 23 37 38 46 74 133 161 259 266 322 437 518 703 851 874 1406 1702 3059 3917 4921 5957 6118 7834 9842 11914 16169 27419 32338 33997 54838 67994 74423 90091 113183 144929 148846 180182 226366 237979 289858 475958 520961 630637 645943 781931 1014503 1041922 1257889 1261274 1291886 1563862 1711729 2029006 2515778 2753651 3333367 3423458 4521601 5473517 5507302 6666734 8805223 9043202 10947034 11982103 14856689 17610446 19275557 23333569 23899891 23964206 28931447 29713378 38551114 46667138 47799782 57862894 63333973 103996823 126667946 133166249 167299237 202520129 207993646 266332498 334598474 405040258 443337811 549697493 886675622 932163743 1099394986 1864327486 2530158731 3062823727 3847882451 4927151213 5060317462 6125647454 7695764902 9854302426 17711111117 21439766089 34490058491 35422222234 42879532178 58193650813 68980116982 93615873047 113324477899 116387301626 187231746094 226648955798 407355555691 655311111329 793271345293 814711111382 1310622222658 1586542690586 2153165080081 4306330160162 15072155560567 30144311121134