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4413114340300 = 2252732221272191
BaseRepresentation
bin100000000111000001000…
…0111001101001111001100
3120121220000112012120210101
41000032002013031033030
51034301024232342200
613215205020020444
7633560041651321
oct100160207151714
916556015176711
104413114340300
111451655aa4a36
125b335b091724
13260202400543
1411384b112b48
1579bddd8e26a
hex403821cd3cc

4413114340300 has 72 divisors (see below), whose sum is σ = 9712049000192. Its totient is φ = 1740273984000.

The previous prime is 4413114340267. The next prime is 4413114340337. The reversal of 4413114340300 is 30434113144.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 16077205 + ... + 16349395.

Almost surely, 24413114340300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4413114340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856024500096).

4413114340300 is an abundant number, since it is smaller than the sum of its proper divisors (5298934659892).

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

4413114340300 is a wasteful number, since it uses less digits than its factorization.

4413114340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274499 (or 274492 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4413114340300 its reverse (30434113144), we get a palindrome (4443548453444).

The spelling of 4413114340300 in words is "four trillion, four hundred thirteen billion, one hundred fourteen million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 2221 3650 4442 7300 8884 11105 22210 44420 55525 111050 162133 222100 272191 324266 544382 648532 810665 1088764 1360955 1621330 2721910 3242660 4053325 5443820 6804775 8106650 13609550 16213300 19869943 27219100 39739886 79479772 99349715 198699430 397398860 496748575 604536211 993497150 1209072422 1986994300 2418144844 3022681055 6045362110 12090724220 15113405275 30226810550 44131143403 60453621100 88262286806 176524573612 220655717015 441311434030 882622868060 1103278585075 2206557170150 4413114340300