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2014200440 = 235741175453
BaseRepresentation
bin111100000001110…
…0100001001111000
312012101001222120022
41320003210021320
513111113403230
6531511150012
7100625264330
oct17003441170
95171058508
102014200440
11943a6666a
12482675308
132613a9aa5
141517140c0
15bbc6a1e5
hex780e4278

2014200440 has 64 divisors (see below), whose sum is σ = 5305728960. Its totient is φ = 673735680.

The previous prime is 2014200437. The next prime is 2014200449. The reversal of 2014200440 is 440024102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014200449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76247 + ... + 99206.

It is an arithmetic number, because the mean of its divisors is an integer number (82902015).

Almost surely, 22014200440 is an apocalyptic number.

2014200440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014200440 is an abundant number, since it is smaller than the sum of its proper divisors (3291528520).

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

2014200440 is a wasteful number, since it uses less digits than its factorization.

2014200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175512 (or 175508 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2014200440 is about 44879.8444738838. The cubic root of 2014200440 is about 1262.8959257526.

Adding to 2014200440 its reverse (440024102), we get a palindrome (2454224542).

The spelling of 2014200440 in words is "two billion, fourteen million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 11480 175453 350906 701812 877265 1228171 1403624 1754530 2456342 3509060 4912684 6140855 7018120 7193573 9825368 12281710 14387146 24563420 28774292 35967865 49126840 50355011 57548584 71935730 100710022 143871460 201420044 251775055 287742920 402840088 503550110 1007100220 2014200440