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14022004000000 = 28563505501
BaseRepresentation
bin1100110000001100000010…
…0100010100010100000000
31211122111020120022222012111
43030003000210110110000
53314214031011000000
645453341505105104
72645025221306053
oct314030044242400
954574216288174
1014022004000000
114516775783557
1216a5684928194
137a93668767a9
14366950970a9a
15194b27a6bcba
hexcc0c0914500

14022004000000 has 126 divisors (see below), whose sum is σ = 34986105336182. Its totient is φ = 5608800000000.

The previous prime is 14022003999947. The next prime is 14022004000003. The reversal of 14022004000000 is 40022041.

It can be written as a sum of positive squares in 7 ways, for example, as 13967979365376 + 54024634624 = 3737376^2 + 232432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14022004000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2247250 + ... + 5752750.

Almost surely, 214022004000000 is an apocalyptic number.

14022004000000 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 14022004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17493052668091).

14022004000000 is an abundant number, since it is smaller than the sum of its proper divisors (20964101336182).

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

14022004000000 is an frugal number, since it uses more digits than its factorization.

14022004000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505547 (or 3505508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 14022004000000 its reverse (40022041), we get a palindrome (14022044022041).

The spelling of 14022004000000 in words is "fourteen trillion, twenty-two billion, 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 3505501 4000000 7011002 14022004 17527505 28044008 35055010 56088016 70110020 87637525 112176032 140220040 175275050 224352064 280440080 350550100 438187625 448704128 560880160 701100200 876375250 897408256 1121760320 1402200400 1752750500 2190938125 2243520640 2804400800 3505501000 4381876250 4487041280 5608801600 7011002000 8763752500 10954690625 11217603200 14022004000 17527505000 21909381250 22435206400 28044008000 35055010000 43818762500 54773453125 56088016000 70110020000 87637525000 109546906250 112176032000 140220040000 175275050000 219093812500 280440080000 350550100000 438187625000 560880160000 701100200000 876375250000 1402200400000 1752750500000 2804400800000 3505501000000 7011002000000 14022004000000