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14121543210 = 2353759383563
BaseRepresentation
bin11010010011011010…
…11010011000101010
31100110011011201111220
431021231122120222
5212410103340320
610253133402510
71006642064625
oct151155323052
940404151456
1014121543210
115a97274475
1228a1339436
131440856338
1497d6b4dbc
15579b40e40
hex349b5a62a

14121543210 has 128 divisors (see below), whose sum is σ = 35553116160. Its totient is φ = 3586081536.

The previous prime is 14121543199. The next prime is 14121543211. The reversal of 14121543210 is 1234512141.

14121543210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14121543211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25082389 + ... + 25082951.

It is an arithmetic number, because the mean of its divisors is an integer number (277758720).

Almost surely, 214121543210 is an apocalyptic number.

14121543210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14121543210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776558080).

14121543210 is an abundant number, since it is smaller than the sum of its proper divisors (21431572950).

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

14121543210 is a wasteful number, since it uses less digits than its factorization.

14121543210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052.

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 14121543210 in words is "fourteen billion, one hundred twenty-one million, five hundred forty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 59 74 111 118 177 185 222 295 354 370 383 555 563 590 766 885 1110 1126 1149 1689 1770 1915 2183 2298 2815 3378 3830 4366 5630 5745 6549 8445 10915 11490 13098 14171 16890 20831 21830 22597 28342 32745 33217 41662 42513 45194 62493 65490 66434 67791 70855 85026 99651 104155 112985 124986 135582 141710 166085 199302 208310 212565 215629 225970 312465 332170 338955 425130 431258 498255 624930 646887 677910 836089 996510 1078145 1229029 1293774 1672178 2156290 2458058 2508267 3234435 3687087 4180445 5016534 6145145 6468870 7374174 7978273 8360890 12290290 12541335 12722111 15956546 18435435 23934819 25082670 25444222 36870870 38166333 39891365 47869638 63610555 76332666 79782730 119674095 127221110 190831665 239348190 381663330 470718107 941436214 1412154321 2353590535 2824308642 4707181070 7060771605 14121543210