Search a number
-
+
210334302141040 = 24571134145178919
BaseRepresentation
bin101111110100110001000101…
…010111001111101001110000
31000120201202121011022122120001
4233310301011113033221300
5210032104122322003130
62023202124445355344
762206103041204540
oct5764610527175160
91016652534278501
10210334302141040
1161023305177960
121b710244268b54
1390495939c9c7c
1439d233d823320
15194b427d236ca
hexbf4c455cfa70

210334302141040 has 80 divisors (see below), whose sum is σ = 609696314795520. Its totient is φ = 65558743522560.

The previous prime is 210334302141037. The next prime is 210334302141077. The reversal of 210334302141040 is 40141203433012.

It is a happy number.

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

It is a super-3 number, since 3×2103343021410403 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 17072583300 + ... + 17072595619.

It is an arithmetic number, because the mean of its divisors is an integer number (7621203934944).

Almost surely, 2210334302141040 is an apocalyptic number.

210334302141040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210334302141040 is an abundant number, since it is smaller than the sum of its proper divisors (399362012654480).

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

210334302141040 is a wasteful number, since it uses less digits than its factorization.

210334302141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34145178950 (or 34145178944 counting only the distinct ones).

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

Adding to 210334302141040 its reverse (40141203433012), we get a palindrome (250475505574052).

The spelling of 210334302141040 in words is "two hundred ten trillion, three hundred thirty-four billion, three hundred two million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 34145178919 68290357838 136580715676 170725894595 239016252433 273161431352 341451789190 375596968109 478032504866 546322862704 682903578380 751193936218 956065009732 1195081262165 1365807156760 1502387872436 1877984840545 1912130019464 2390162524330 2629178776763 2731614313520 3004775744872 3755969681090 3824260038928 4780325048660 5258357553526 6009551489744 7511939362180 9560650097320 10516715107052 13145893883815 15023878724360 19121300194640 21033430214104 26291787767630 30047757448720 42066860428208 52583575535260 105167151070520 210334302141040