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14045005100 = 22527412292137
BaseRepresentation
bin11010001010010010…
…11100010100101100
31100020211011011222002
431011021130110230
5212231010130400
610241401111432
71005022400510
oct150511342454
940224134862
1014045005100
115a58048235
12287b788578
13142aa38909
14973470140
15573072ed5
hex34525c52c

14045005100 has 144 divisors (see below), whose sum is σ = 35853746880. Its totient is φ = 4675276800.

The previous prime is 14045005097. The next prime is 14045005151. The reversal of 14045005100 is 150054041.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6571232 + ... + 6573368.

Almost surely, 214045005100 is an apocalyptic number.

14045005100 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 14045005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926873440).

14045005100 is an abundant number, since it is smaller than the sum of its proper divisors (21808741780).

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

14045005100 is a wasteful number, since it uses less digits than its factorization.

14045005100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 14045005100 its reverse (150054041), we get a palindrome (14195059141).

The spelling of 14045005100 in words is "fourteen billion, forty-five million, five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 229 287 350 410 458 574 700 820 916 1025 1145 1148 1435 1603 2050 2137 2290 2870 3206 4100 4274 4580 5725 5740 6412 7175 8015 8548 9389 10685 11450 14350 14959 16030 18778 21370 22900 28700 29918 32060 37556 40075 42740 46945 53425 59836 65723 74795 80150 87617 93890 106850 131446 149590 160300 175234 187780 213700 234725 262892 299180 328615 350468 373975 438085 469450 489373 613319 657230 747950 876170 938900 978746 1226638 1314460 1495900 1643075 1752340 1957492 2190425 2446865 2453276 3066595 3286150 3425611 4380850 4893730 6133190 6572300 6851222 8761700 9787460 12234325 12266380 13702444 15332975 17128055 20064293 24468650 30665950 34256110 40128586 48937300 61331900 68512220 80257172 85640275 100321465 140450051 171280550 200642930 280900102 342561100 401285860 501607325 561800204 702250255 1003214650 1404500510 2006429300 2809001020 3511251275 7022502550 14045005100