Search a number
-
+
4114002313100 = 2252330491244819
BaseRepresentation
bin111011110111011101101…
…001010111111110001100
3112120021221220011020201202
4323313131221113332030
51014400434043004400
612425540243125032
7603140545452641
oct73673551277614
915507856136652
104114002313100
111346814065859
125653a3073778
1323ac44546b34
14103193cb9dc8
15720346334d5
hex3bddda57f8c

4114002313100 has 36 divisors (see below), whose sum is σ = 8927662317000. Its totient is φ = 1645549810560.

The previous prime is 4114002313093. The next prime is 4114002313103. The reversal of 4114002313100 is 13132004114.

It is a super-3 number, since 3×41140023131003 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4114002313103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2682491 + ... + 3927309.

Almost surely, 24114002313100 is an apocalyptic number.

It is an amenable number.

4114002313100 is an abundant number, since it is smaller than the sum of its proper divisors (4813660003900).

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

4114002313100 is a wasteful number, since it uses less digits than its factorization.

4114002313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277882 (or 1277875 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 4114002313100 its reverse (13132004114), we get a palindrome (4127134317214).

The spelling of 4114002313100 in words is "four trillion, one hundred fourteen billion, two million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 33049 66098 132196 165245 330490 660980 826225 1244819 1652450 2489638 3304900 4979276 6224095 12448190 24896380 31120475 62240950 124481900 41140023131 82280046262 164560092524 205700115655 411400231310 822800462620 1028500578275 2057001156550 4114002313100