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4214505000 = 23354280967
BaseRepresentation
bin1111101100110100…
…0011111000101000
3101212201100000222210
43323031003320220
532112403130000
61534111245120
7206303462406
oct37315037050
911781300883
104214505000
111872a83a92
129975197a0
135221b6c54
142bda30476
15199ee7350
hexfb343e28

4214505000 has 80 divisors (see below), whose sum is σ = 13166160480. Its totient is φ = 1123864000.

The previous prime is 4214504989. The next prime is 4214505023. The reversal of 4214505000 is 5054124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125484 + ... + 155483.

It is an arithmetic number, because the mean of its divisors is an integer number (164577006).

Almost surely, 24214505000 is an apocalyptic number.

4214505000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214505000 is an abundant number, since it is smaller than the sum of its proper divisors (8951655480).

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

4214505000 is a wasteful number, since it uses less digits than its factorization.

4214505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280996 (or 280977 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 4214505000 is about 64919.2190341196. The cubic root of 4214505000 is about 1615.2838756295.

Adding to 4214505000 its reverse (5054124), we get a palindrome (4219559124).

The spelling of 4214505000 in words is "four billion, two hundred fourteen million, five hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 15000 280967 561934 842901 1123868 1404835 1685802 2247736 2809670 3371604 4214505 5619340 6743208 7024175 8429010 11238680 14048350 16858020 21072525 28096700 33716040 35120875 42145050 56193400 70241750 84290100 105362625 140483500 168580200 175604375 210725250 280967000 351208750 421450500 526813125 702417500 842901000 1053626250 1404835000 2107252500 4214505000