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2014420000 = 2554472143
BaseRepresentation
bin111100000010001…
…1001110000100000
312012101111010202011
41320010121300200
513111142420000
6531520002304
7100630200415
oct17004316040
95171433664
102014420000
119440a661a
12482760394
132614559c8
1415177010c
15bbcb02ba
hex78119c20

2014420000 has 120 divisors (see below), whose sum is σ = 5063579136. Its totient is φ = 788256000.

The previous prime is 2014419989. The next prime is 2014420013. The reversal of 2014420000 is 244102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 938929 + ... + 941071.

Almost surely, 22014420000 is an apocalyptic number.

2014420000 is a gapful number since it is divisible by the number (20) 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 2014420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531789568).

2014420000 is an abundant number, since it is smaller than the sum of its proper divisors (3049159136).

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

2014420000 is an equidigital number, since it uses as much as digits as its factorization.

2014420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2197 counting only the distinct ones).

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

The square root of 2014420000 is about 44882.2904941359. The cubic root of 2014420000 is about 1262.9418118438.

Adding to 2014420000 its reverse (244102), we get a palindrome (2014664102).

The spelling of 2014420000 in words is "two billion, fourteen million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1880 2000 2143 2350 2500 3760 4000 4286 4700 5000 5875 7520 8572 9400 10000 10715 11750 17144 18800 20000 21430 23500 29375 34288 37600 42860 47000 53575 58750 68576 85720 94000 100721 107150 117500 171440 188000 201442 214300 235000 267875 342880 402884 428600 470000 503605 535750 805768 857200 940000 1007210 1071500 1339375 1611536 1714400 2014420 2143000 2518025 2678750 3223072 4028840 4286000 5036050 5357500 8057680 8572000 10072100 10715000 12590125 16115360 20144200 21430000 25180250 40288400 42860000 50360500 62950625 80576800 100721000 125901250 201442000 251802500 402884000 503605000 1007210000 2014420000