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2014304241330 = 233549136714139
BaseRepresentation
bin11101010011111101111…
…000111000011010110010
321010120021022210121012000
4131103331320320122302
5231000243341210310
64141205242314430
7265346223356403
oct35237570703262
97116238717160
102014304241330
11707297260037
122864764b8a16
13117c42bc76b4
146d6c85219aa
15375e3bab4c0
hex1d4fde386b2

2014304241330 has 128 divisors (see below), whose sum is σ = 5385184819200. Its totient is φ = 535778308800.

The previous prime is 2014304241329. The next prime is 2014304241361. The reversal of 2014304241330 is 331424034102.

2014304241330 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 304 + 24 + 1 + 330 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2014304241294 and 2014304241303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486662401 + ... + 486666539.

It is an arithmetic number, because the mean of its divisors is an integer number (42071756400).

Almost surely, 22014304241330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014304241330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692592409600).

2014304241330 is an abundant number, since it is smaller than the sum of its proper divisors (3370880577870).

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

2014304241330 is a wasteful number, since it uses less digits than its factorization.

2014304241330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8317 (or 8311 counting only the distinct ones).

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

Adding to 2014304241330 its reverse (331424034102), we get a palindrome (2345728275432).

The spelling of 2014304241330 in words is "two trillion, fourteen billion, three hundred four million, two hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 491 982 1473 2455 2946 3671 4139 4419 4910 7342 7365 8278 8838 11013 12417 13257 14730 18355 20695 22026 22095 24834 26514 33039 36710 37251 41390 44190 55065 62085 66078 66285 74502 99117 110130 111753 124170 132570 165195 186255 198234 223506 330390 372510 495585 558765 991170 1117530 1802461 2032249 3604922 4064498 5407383 6096747 9012305 10161245 10814766 12193494 15194269 16222149 18024610 18290241 20322490 27036915 30388538 30483735 32444298 36580482 45582807 48666447 54073830 54870723 60967470 75971345 81110745 91165614 91451205 97332894 109741446 136748421 151942690 162221490 182902410 227914035 243332235 273496842 274353615 410245263 455828070 486664470 548707230 683742105 820490526 1367484210 2051226315 4102452630 7460386079 14920772158 22381158237 37301930395 44762316474 67143474711 74603860790 111905791185 134286949422 201430424133 223811582370 335717373555 402860848266 671434747110 1007152120665 2014304241330