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3320421230214 = 235115413114743
BaseRepresentation
bin110000010100011000100…
…001110010011010000110
3102202102120212100021200000
4300110120201302122012
5413400210313331324
611021214102302130
7461615063526654
oct60243041623206
912672525307600
103320421230214
111070201248540
1245762a427946
131b116439c08a
14b69d024ddd4
155b589b279c9
hex30518872686

3320421230214 has 96 divisors (see below), whose sum is σ = 8140519505664. Its totient is φ = 1005993600480.

The previous prime is 3320421230197. The next prime is 3320421230219. The reversal of 3320421230214 is 4120321240233.

3320421230214 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 421 + 23 + 0 + 214 = 666.

It is a super-2 number, since 2×33204212302142 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320421230219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28880527 + ... + 28995269.

It is an arithmetic number, because the mean of its divisors is an integer number (84797078184).

Almost surely, 23320421230214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320421230214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070259752832).

3320421230214 is an abundant number, since it is smaller than the sum of its proper divisors (4820098275450).

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

3320421230214 is a wasteful number, since it uses less digits than its factorization.

3320421230214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120184 (or 120172 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3320421230214 its reverse (4120321240233), we get a palindrome (7440742470447).

The spelling of 3320421230214 in words is "three trillion, three hundred twenty billion, four hundred twenty-one million, two hundred thirty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 5346 5413 10826 16239 32478 48717 59543 97434 114743 119086 146151 178629 229486 292302 344229 357258 438453 535887 688458 876906 1032687 1071774 1262173 1315359 1607661 2065374 2524346 2630718 3098061 3215322 3786519 4822983 6196122 7573038 9294183 9645966 11359557 14468949 18588366 22719114 27882549 28937898 34078671 55765098 68157342 102236013 204472026 306708039 613416078 621103859 1242207718 1863311577 3726623154 5589934731 6832142449 11179869462 13664284898 16769804193 20496427347 33539608386 40992854694 50309412579 61489282041 100618825158 122978564082 150928237737 184467846123 301856475474 368935692246 553403538369 1106807076738 1660210615107 3320421230214