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14415000300 = 2233526418329
BaseRepresentation
bin11010110110011001…
…10111001011101100
31101012121100212222000
431123030313023230
5214010220002200
610342215252300
71020134323641
oct153314671354
941177325860
1014415000300
11612798a098
12296367a090
1314895a2c9c
149aa663dc8
155957ab300
hex35b3372ec

14415000300 has 144 divisors (see below), whose sum is σ = 46419424800. Its totient is φ = 3837542400.

The previous prime is 14415000269. The next prime is 14415000317. The reversal of 14415000300 is 300051441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1726536 + ... + 1734864.

Almost surely, 214415000300 is an apocalyptic number.

14415000300 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 14415000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23209712400).

14415000300 is an abundant number, since it is smaller than the sum of its proper divisors (32004424500).

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

14415000300 is a wasteful number, since it uses less digits than its factorization.

14415000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 14415000300 its reverse (300051441), we get a palindrome (14715051741).

The spelling of 14415000300 in words is "fourteen billion, four hundred fifteen million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 641 675 900 1282 1350 1923 2564 2700 3205 3846 5769 6410 7692 8329 9615 11538 12820 16025 16658 17307 19230 23076 24987 28845 32050 33316 34614 38460 41645 48075 49974 57690 64100 69228 74961 83290 86535 96150 99948 115380 124935 144225 149922 166580 173070 192300 208225 224883 249870 288450 299844 346140 374805 416450 432675 449766 499740 576900 624675 749610 832900 865350 899532 1124415 1249350 1499220 1730700 1874025 2248830 2498700 3748050 4497660 5338889 5622075 7496100 10677778 11244150 16016667 21355556 22488300 26694445 32033334 48050001 53388890 64066668 80083335 96100002 106777780 133472225 144150003 160166670 192200004 240250005 266944450 288300006 320333340 400416675 480500010 533888900 576600012 720750015 800833350 961000020 1201250025 1441500030 1601666700 2402500050 2883000060 3603750075 4805000100 7207500150 14415000300