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4332143054076 = 22329281325113627
BaseRepresentation
bin111111000010100111110…
…110010000110011111100
3120100011000111110001120120
4333002213312100303330
51031434212110212301
613114054204214540
7624662354246415
oct77024766206374
916304014401516
104332143054076
1114202848a7172
1259b721b3a450
13255699ca2c66
1410d96938280c
1577a504b1e36
hex3f0a7d90cfc

4332143054076 has 96 divisors (see below), whose sum is σ = 10498108481280. Its totient is φ = 1388761920000.

The previous prime is 4332143054023. The next prime is 4332143054077. The reversal of 4332143054076 is 6704503412334.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332143054077) 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, 317901975 + ... + 317915601.

It is an arithmetic number, because the mean of its divisors is an integer number (109355296680).

Almost surely, 24332143054076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4332143054076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249054240640).

4332143054076 is an abundant number, since it is smaller than the sum of its proper divisors (6165965427204).

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

4332143054076 is a wasteful number, since it uses less digits than its factorization.

4332143054076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17195 (or 17193 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 4332143054076 in words is "four trillion, three hundred thirty-two billion, one hundred forty-three million, fifty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 281 348 562 843 1124 1686 3251 3372 6502 8149 9753 13004 13627 16298 19506 24447 27254 32596 39012 40881 48894 54508 81762 94279 97788 163524 188558 282837 377116 395183 565674 790366 913531 1131348 1185549 1580732 1827062 2371098 2740593 3654124 3829187 4742196 5481186 7658374 10962372 11487561 15316748 22975122 26492399 44301377 45950244 52984798 79477197 88602754 105969596 111046423 132904131 158954394 177205508 222092846 265808262 317908788 333139269 444185692 531616524 666278538 1284739933 1332557076 2569479866 3854219799 5138959732 7708439598 12448686937 15416879196 24897373874 37346060811 49794747748 74692121622 149384243244 361011921173 722023842346 1083035763519 1444047684692 2166071527038 4332143054076