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14030404000000 = 28563507601
BaseRepresentation
bin1100110000101011010100…
…1111110001100100000000
31211200021220222102011221121
43030022311033301210000
53314333231411000000
645501251214202024
72645443330161013
oct314126517614400
954607828364847
1014030404000000
11451a296316913
1216a7229ab3314
137aa0a4c2b1ab
1436710a3dd37a
15194e6a22ab1a
hexcc2b53f1900

14030404000000 has 126 divisors (see below), whose sum is σ = 35007064052282. Its totient is φ = 5612160000000.

The previous prime is 14030403999979. The next prime is 14030404000061. The reversal of 14030404000000 is 40403041.

It can be written as a sum of positive squares in 7 ways, for example, as 13791775657984 + 238628342016 = 3713728^2 + 488496^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2246200 + ... + 5753800.

Almost surely, 214030404000000 is an apocalyptic number.

14030404000000 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 14030404000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503532026141).

14030404000000 is an abundant number, since it is smaller than the sum of its proper divisors (20976660052282).

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

14030404000000 is an frugal number, since it uses more digits than its factorization.

14030404000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507647 (or 3507608 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 14030404000000 its reverse (40403041), we get a palindrome (14030444403041).

The spelling of 14030404000000 in words is "fourteen trillion, thirty billion, four hundred four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 400000 500000 800000 1000000 2000000 3507601 4000000 7015202 14030404 17538005 28060808 35076010 56121616 70152020 87690025 112243232 140304040 175380050 224486464 280608080 350760100 438450125 448972928 561216160 701520200 876900250 897945856 1122432320 1403040400 1753800500 2192250625 2244864640 2806080800 3507601000 4384501250 4489729280 5612161600 7015202000 8769002500 10961253125 11224323200 14030404000 17538005000 21922506250 22448646400 28060808000 35076010000 43845012500 54806265625 56121616000 70152020000 87690025000 109612531250 112243232000 140304040000 175380050000 219225062500 280608080000 350760100000 438450125000 561216160000 701520200000 876900250000 1403040400000 1753800500000 2806080800000 3507601000000 7015202000000 14030404000000