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4101330331014 = 2371911234576591
BaseRepresentation
bin111011101011101010010…
…101100110010110000110
3112112002020202120212020220
4323223222111212112012
51014144011031043024
612420043010405210
7602211534416520
oct73535225462606
915462222525226
104101330331014
111341401061094
12562a47290806
132399a5102997
14102710d38a10
1571a41dc6e79
hex3baea566586

4101330331014 has 64 divisors (see below), whose sum is σ = 9876651663360. Its totient is φ = 1109145739680.

The previous prime is 4101330330917. The next prime is 4101330331027.

4101330331014 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×41013303310143 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1392142 + ... + 3184449.

It is an arithmetic number, because the mean of its divisors is an integer number (154322682240).

Almost surely, 24101330331014 is an apocalyptic number.

4101330331014 is an abundant number, since it is smaller than the sum of its proper divisors (5775321332346).

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

4101330331014 is a wasteful number, since it uses less digits than its factorization.

4101330331014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577745.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 4101330 and 331014, that added together give a palindrome (4432344).

The spelling of 4101330331014 in words is "four trillion, one hundred one billion, three hundred thirty million, three hundred thirty-one thousand, fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 1123 2246 3369 6738 7861 15722 21337 23583 42674 47166 64011 128022 149359 298718 448077 896154 4576591 9153182 13729773 27459546 32036137 64072274 86955229 96108411 173910458 192216822 260865687 521731374 608686603 1217373206 1826059809 3652119618 5139511693 10279023386 15418535079 30837070158 35976581851 71953163702 97650722167 107929745553 195301444334 215859491106 292952166501 585904333002 683555055169 1367110110338 2050665165507 4101330331014