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4102330332014 = 2177313714598269
BaseRepresentation
bin111011101100100101111…
…100010011001101101110
3112112011211110021011201222
4323230211330103031232
51014203033031111024
612420330132103342
7602245366323365
oct73544574231556
915464743234658
104102330332014
1113418745856a2
12563086164b52
13239b04340455
141027a7a867dc
1571a9eaa885e
hex3bb25f1336e

4102330332014 has 64 divisors (see below), whose sum is σ = 6658293441600. Its totient is φ = 1888640851968.

The previous prime is 4102330332007. The next prime is 4102330332017.

4102330332014 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×41023303320142 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102330332017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496105472 + ... + 496113740.

It is an arithmetic number, because the mean of its divisors is an integer number (104035835025).

Almost surely, 24102330332014 is an apocalyptic number.

4102330332014 is a deficient number, since it is larger than the sum of its proper divisors (2555963109586).

4102330332014 is a wasteful number, since it uses less digits than its factorization.

4102330332014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9957.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 4102330 and 332014, that added together give a palindrome (4434344).

The spelling of 4102330332014 in words is "four trillion, one hundred two billion, three hundred thirty million, three hundred thirty-two thousand, fourteen".

Divisors: 1 2 17 34 73 137 146 274 1241 1459 2329 2482 2918 4658 8269 10001 16538 20002 24803 49606 106507 140573 170017 199883 213014 281146 340034 399766 603637 1132853 1207274 1810619 2265706 3398011 3621238 6796022 10261829 12064471 14591459 19258501 20523658 24128942 29182918 38517002 82698269 165396538 205096007 248054803 410192014 496109606 880706383 1405870573 1652832527 1761412766 2811741146 3305665054 14972008511 28098152959 29944017022 56196305918 120656774471 241313548942 2051165166007 4102330332014