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41301324134343 = 32721343252166457
BaseRepresentation
bin10010110010000001101101…
…10000001111011111000111
312102020100221021212110101100
421121000312300033133013
520403140102434244333
6223501322200431143
711461631212504200
oct1131006660173707
9172210837773340
1041301324134343
111218387a828a69
124770581a784b3
131a0790caca040
14a2adcd8685a7
154b951eeed213
hex259036c0f7c7

41301324134343 has 144 divisors (see below), whose sum is σ = 76505255482656. Its totient is φ = 21269917992960.

The previous prime is 41301324134321. The next prime is 41301324134401. The reversal of 41301324134343 is 34343142310314.

41301324134343 is a `hidden beast` number, since 4 + 1 + 30 + 1 + 3 + 241 + 343 + 43 = 666.

41301324134343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41301324134343 - 25 = 41301324134311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41301324134298 and 41301324134307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41301324114343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 621441171 + ... + 621507627.

Almost surely, 241301324134343 is an apocalyptic number.

41301324134343 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

41301324134343 is a deficient number, since it is larger than the sum of its proper divisors (35203931348313).

41301324134343 is a wasteful number, since it uses less digits than its factorization.

41301324134343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69054 (or 69044 counting only the distinct ones).

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

Adding to 41301324134343 its reverse (34343142310314), we get a palindrome (75644466444657).

The spelling of 41301324134343 in words is "forty-one trillion, three hundred one billion, three hundred twenty-four million, one hundred thirty-four thousand, three hundred forty-three".

Divisors: 1 3 7 9 13 21 39 43 49 63 91 117 129 147 273 301 387 441 559 637 819 903 1677 1911 2107 2521 2709 3913 5031 5733 6321 7563 11739 17647 18963 22689 27391 32773 35217 52941 66457 82173 98319 108403 123529 158823 199371 229411 246519 294957 325209 370587 465199 598113 688233 758821 863941 975627 1111761 1395597 1409239 1605877 2064699 2276463 2591823 2857651 3256393 4186791 4227717 4817631 5311747 6047587 6829389 7775469 8572953 9769179 9864673 12683151 14452893 15935241 18142761 20003557 25718859 29307537 29594019 37149463 42333109 47805723 54428283 60010671 69052711 88782057 111448389 126999327 140024899 167538097 180032013 207158133 260046241 334345167 380997981 420074697 502614291 621474399 780138723 1172766679 1260224091 1507842873 1820323687 2177995261 2340416169 3518300037 5460971061 6533985783 7204138171 8209366753 10554900111 15245966827 16382913183 19601957349 21612414513 24628100259 45737900481 50428967197 64837243539 73884300777 93653796223 106721767789 137213701443 151286901591 280961388669 320165303367 353002770379 453860704773 655576573561 842884166007 960495910101 1059008311137 1966729720683 3177024933411 4589036014927 5900189162049 13767108044781 41301324134343