Search a number
-
+
14454421210305 = 3354726923573593
BaseRepresentation
bin1101001001010110111010…
…1001000100010011000001
31220011211101110121020202000
43102111232221010103001
53343310123312212210
650424134110414213
73021204014042226
oct322255651042301
956154343536660
1014454421210305
1146730a3a4684a
121755444501369
1380b07a2b027b
1437d8521db94d
151a0ed53b4ac0
hexd256ea444c1

14454421210305 has 128 divisors (see below), whose sum is σ = 26359557580800. Its totient is φ = 7511674079232.

The previous prime is 14454421210297. The next prime is 14454421210319. The reversal of 14454421210305 is 50301212445441.

14454421210305 is a `hidden beast` number, since 1 + 4 + 4 + 544 + 2 + 1 + 2 + 103 + 0 + 5 = 666.

It is not a de Polignac number, because 14454421210305 - 23 = 14454421210297 is a prime.

It is a super-2 number, since 2×144544212103052 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14454421210305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4022937589 + ... + 4022941181.

It is an arithmetic number, because the mean of its divisors is an integer number (205934043600).

Almost surely, 214454421210305 is an apocalyptic number.

14454421210305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14454421210305 is a deficient number, since it is larger than the sum of its proper divisors (11905136370495).

14454421210305 is a wasteful number, since it uses less digits than its factorization.

14454421210305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6280 (or 6274 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 14454421210305 its reverse (50301212445441), we get a palindrome (64755633655746).

The spelling of 14454421210305 in words is "fourteen trillion, four hundred fifty-four billion, four hundred twenty-one million, two hundred ten thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 47 135 141 235 269 423 705 807 1269 1345 2115 2357 2421 3593 4035 6345 7071 7263 10779 11785 12105 12643 17965 21213 32337 35355 36315 37929 53895 63215 63639 97011 106065 110779 113787 161685 168871 189645 318195 332337 341361 485055 506613 553895 568935 634033 844355 966517 997011 1519839 1661685 1706805 1902099 2533065 2899551 2991033 3170165 4559517 4832585 4985055 5706297 7599195 8468701 8698653 9510495 14497755 14955165 17118891 22797585 25406103 26095959 28531485 29799551 42343505 43493265 45426299 76218309 85594455 89398653 127030515 130479795 136278897 148997755 227131495 228654927 268195959 381091545 398028947 408836691 446993265 681394485 804587877 1143274635 1194086841 1226510073 1340979795 1990144735 2044183455 2278080569 3582260523 4022939385 5970434205 6132550365 6834241707 10746781569 11390402845 17911302615 20502725121 34171208535 53733907845 61508175363 102513625605 107069786743 307540876815 321209360229 535348933715 963628080687 1606046801145 2890884242061 4818140403435 14454421210305