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14144021100 = 223252111428689
BaseRepresentation
bin11010010110000110…
…01010001001101100
31100111201110201101100
431023003022021230
5212431332133400
610255255243100
71010334124056
oct151303121154
940451421340
1014144021100
115aa8a27440
1228a8979490
1314453c6571
149826868d6
1557bad1100
hex34b0ca26c

14144021100 has 108 divisors (see below), whose sum is σ = 48364013880. Its totient is φ = 3428851200.

The previous prime is 14144021081. The next prime is 14144021107. The reversal of 14144021100 is 112044141.

14144021100 is a `hidden beast` number, since 1 + 414 + 40 + 211 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14144021107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 704445 + ... + 724244.

Almost surely, 214144021100 is an apocalyptic number.

14144021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14144021100 is an abundant number, since it is smaller than the sum of its proper divisors (34219992780).

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

14144021100 is a wasteful number, since it uses less digits than its factorization.

14144021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428720 (or 1428710 counting only the distinct ones).

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

Adding to 14144021100 its reverse (112044141), we get a palindrome (14256065241).

The spelling of 14144021100 in words is "fourteen billion, one hundred forty-four million, twenty-one 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 1428689 2857378 4286067 5714756 7143445 8572134 12858201 14286890 15715579 17144268 21430335 25716402 28573780 31431158 35717225 42860670 47146737 51432804 62862316 64291005 71434450 78577895 85721340 94293474 107151675 128582010 141440211 142868900 157155790 188586948 214303350 235733685 257164020 282880422 314311580 321455025 392889475 428606700 471467370 565760844 642910050 707201055 785778950 942934740 1178668425 1285820100 1414402110 1571557900 2357336850 2828804220 3536005275 4714673700 7072010550 14144021100