Search a number
-
+
21412224040 = 2351924193539
BaseRepresentation
bin10011111100010001…
…001001110000101000
32001021020212200102211
4103330101021300220
5322323012132130
613500414134504
71355420621104
oct237421116050
961236780384
1021412224040
119098707929
124196ab1434
13203314636c
141071a9a904
15854c27a2a
hex4fc449c28

21412224040 has 96 divisors (see below), whose sum is σ = 50982372000. Its totient is φ = 8092453248.

The previous prime is 21412224023. The next prime is 21412224061. The reversal of 21412224040 is 4042221412.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6048591 + ... + 6052129.

It is an arithmetic number, because the mean of its divisors is an integer number (531066375).

Almost surely, 221412224040 is an apocalyptic number.

21412224040 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 21412224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25491186000).

21412224040 is an abundant number, since it is smaller than the sum of its proper divisors (29570147960).

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

21412224040 is a wasteful number, since it uses less digits than its factorization.

21412224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 21412224040 its reverse (4042221412), we get a palindrome (25454445452).

The spelling of 21412224040 in words is "twenty-one billion, four hundred twelve million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 419 722 760 838 1444 1676 1805 2095 2888 3352 3539 3610 4190 7078 7220 7961 8380 14156 14440 15922 16760 17695 28312 31844 35390 39805 63688 67241 70780 79610 134482 141560 151259 159220 268964 302518 318440 336205 537928 605036 672410 756295 1210072 1277579 1344820 1482841 1512590 2555158 2689640 2965682 3025180 5110316 5931364 6050360 6387895 7414205 10220632 11862728 12775790 14828410 25551580 28173979 29656820 51103160 56347958 59313640 112695916 140869895 225391832 281739790 535305601 563479580 1070611202 1126959160 2141222404 2676528005 4282444808 5353056010 10706112020 21412224040