Search a number
-
+
214424042000 = 2453715316003
BaseRepresentation
bin1100011110110010101…
…0110011101000010000
3202111110120122221100012
43013230222303220100
512003120023321000
6242301031214052
721330425166410
oct3075452635020
9674416587305
10214424042000
1182a33866473
1235682217328
13172b273977c
14a541a1a640
15589e919735
hex31ecab3a10

214424042000 has 80 divisors (see below), whose sum is σ = 592545562752. Its totient is φ = 73516809600.

The previous prime is 214424041919. The next prime is 214424042029. The reversal of 214424042000 is 240424412.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7644002 + ... + 7672001.

Almost surely, 2214424042000 is an apocalyptic number.

214424042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214424042000 is an abundant number, since it is smaller than the sum of its proper divisors (378121520752).

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

214424042000 is a wasteful number, since it uses less digits than its factorization.

214424042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15316033 (or 15316017 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 214424042000 its reverse (240424412), we get a palindrome (214664466412).

The spelling of 214424042000 in words is "two hundred fourteen billion, four hundred twenty-four million, forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 15316003 30632006 61264012 76580015 107212021 122528024 153160030 214424042 245056048 306320060 382900075 428848084 536060105 612640120 765800150 857696168 1072120210 1225280240 1531600300 1715392336 1914500375 2144240420 2680300525 3063200600 3829000750 4288480840 5360601050 6126401200 7658001500 8576961680 10721202100 13401502625 15316003000 21442404200 26803005250 30632006000 42884808400 53606010500 107212021000 214424042000