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14211044100 = 223252111435459
BaseRepresentation
bin11010011110000101…
…10101001100000100
31100200101120211122200
431033002311030010
5213101011402400
610310051554500
71012106611311
oct151702651404
940611524580
1014211044100
116032844850
1229072bba30
131456262046
1498b531d08
1558291eb00
hex34f0b5304

14211044100 has 108 divisors (see below), whose sum is σ = 48593191920. Its totient is φ = 3445099200.

The previous prime is 14211044051. The next prime is 14211044147. The reversal of 14211044100 is 144011241.

14211044100 is a `hidden beast` number, since 14 + 211 + 0 + 441 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 707830 + ... + 727629.

Almost surely, 214211044100 is an apocalyptic number.

14211044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14211044100 is an abundant number, since it is smaller than the sum of its proper divisors (34382147820).

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

14211044100 is a wasteful number, since it uses less digits than its factorization.

14211044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435490 (or 1435480 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14211044100 its reverse (144011241), we get a palindrome (14355055341).

The spelling of 14211044100 in words is "fourteen billion, two hundred eleven million, forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 1435459 2870918 4306377 5741836 7177295 8612754 12919131 14354590 15790049 17225508 21531885 25838262 28709180 31580098 35886475 43063770 47370147 51676524 63160196 64595655 71772950 78950245 86127540 94740294 107659425 129191310 142110441 143545900 157900490 189480588 215318850 236850735 258382620 284220882 315800980 322978275 394751225 430637700 473701470 568441764 645956550 710552205 789502450 947402940 1184253675 1291913100 1421104410 1579004900 2368507350 2842208820 3552761025 4737014700 7105522050 14211044100