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14130450212052 = 22323731759398711
BaseRepresentation
bin1100110110100000000001…
…1101110010010011010100
31212000212011101000100012210
43031220000131302103110
53323003130223241202
650015234511513420
72655614505016356
oct315500035622324
955025141010183
1014130450212052
114558765845799
1217026ab228870
137b665a19ab35
1436bcbb64d0d6
15197873542c6c
hexcda007724d4

14130450212052 has 96 divisors (see below), whose sum is σ = 34895784591360. Its totient is φ = 4441106292480.

The previous prime is 14130450212041. The next prime is 14130450212059. The reversal of 14130450212052 is 25021205403141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130450212059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35240977 + ... + 35639687.

It is an arithmetic number, because the mean of its divisors is an integer number (363497756160).

Almost surely, 214130450212052 is an apocalyptic number.

14130450212052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14130450212052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447892295680).

14130450212052 is an abundant number, since it is smaller than the sum of its proper divisors (20765334379308).

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

14130450212052 is a wasteful number, since it uses less digits than its factorization.

14130450212052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400573 (or 400571 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 14130450212052 its reverse (25021205403141), we get a palindrome (39151655615193).

The spelling of 14130450212052 in words is "fourteen trillion, one hundred thirty billion, four hundred fifty million, two hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 138 146 219 276 292 438 876 1679 1759 3358 3518 5037 5277 6716 7036 10074 10554 20148 21108 40457 80914 121371 128407 161828 242742 256814 385221 398711 485484 513628 770442 797422 1196133 1540884 1594844 2392266 2953361 4784532 5906722 8860083 9170353 11813444 17720166 18340706 27511059 29105903 35440332 36681412 55022118 58211806 87317709 110044236 116423612 174635418 349270836 669435769 701332649 1338871538 1402665298 2008307307 2103997947 2677743076 2805330596 4016614614 4207995894 8033229228 8415991788 16130650927 32261301854 48391952781 51197283377 64522603708 96783905562 102394566754 153591850131 193567811124 204789133508 307183700262 614367400524 1177537517671 2355075035342 3532612553013 4710150070684 7065225106026 14130450212052