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14340333415300 = 22522913813580697
BaseRepresentation
bin1101000010101101111001…
…1110101010101110000100
31212202220220111021202210221
43100223132132222232010
53334423000323242200
650255505213154124
73010024554555124
oct320533636525604
955686814252727
1014340333415300
1146297793a7862
12173730478b944
13800397c32569
1437810c16cc84
1519d0594a391a
hexd0ade7aab84

14340333415300 has 72 divisors (see below), whose sum is σ = 32214895380360. Its totient is φ = 5534323737600.

The previous prime is 14340333415253. The next prime is 14340333415337. The reversal of 14340333415300 is 351433304341.

It can be written as a sum of positive squares in 12 ways, for example, as 5235099585156 + 9105233830144 = 2288034^2 + 3017488^2 .

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 23 ways as a sum of consecutive naturals, for example, 2214552 + ... + 5795248.

It is an arithmetic number, because the mean of its divisors is an integer number (447429102505).

Almost surely, 214340333415300 is an apocalyptic number.

14340333415300 is a gapful number since it is divisible by the number (10) 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 14340333415300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16107447690180).

14340333415300 is an abundant number, since it is smaller than the sum of its proper divisors (17874561965060).

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

14340333415300 is a wasteful number, since it uses less digits than its factorization.

14340333415300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582121 (or 3582114 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

Adding to 14340333415300 its reverse (351433304341), we get a palindrome (14691766719641).

The spelling of 14340333415300 in words is "fourteen trillion, three hundred forty billion, three hundred thirty-three million, four hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1381 1450 2762 2900 5524 6905 13810 27620 34525 40049 69050 80098 138100 160196 200245 400490 800980 1001225 2002450 3580697 4004900 7161394 14322788 17903485 35806970 71613940 89517425 103840213 179034850 207680426 358069700 415360852 519201065 1038402130 2076804260 2596005325 4944942557 5192010650 9889885114 10384021300 19779770228 24724712785 49449425570 98898851140 123623563925 143403334153 247247127850 286806668306 494494255700 573613336612 717016670765 1434033341530 2868066683060 3585083353825 7170166707650 14340333415300