Search a number
-
+
243333181243120 = 24515719373660927
BaseRepresentation
bin110111010100111101101011…
…110101000111111011110000
31011220120102110210010011121111
4313110331223311013323300
5223343232323344234440
62221305415323403104
7102153146033436163
oct6724755365077360
91156512423104544
10243333181243120
1170596028146471
122335b726083494
13a5a12b367c3b7
144413562c87ada
151d1e9c3c2d4ea
hexdd4f6bd47ef0

243333181243120 has 40 divisors (see below), whose sum is σ = 569353147352064. Its totient is φ = 96713315342592.

The previous prime is 243333181243049. The next prime is 243333181243169. The reversal of 243333181243120 is 21342181333342.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2433331812431202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9686817904 + ... + 9686843023.

Almost surely, 2243333181243120 is an apocalyptic number.

243333181243120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243333181243120 is an abundant number, since it is smaller than the sum of its proper divisors (326019966108944).

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

243333181243120 is a wasteful number, since it uses less digits than its factorization.

243333181243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19373661097 (or 19373661091 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 243333181243120 in words is "two hundred forty-three trillion, three hundred thirty-three billion, one hundred eighty-one million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 19373660927 38747321854 77494643708 96868304635 154989287416 193736609270 309978574832 387473218540 774946437080 1549892874160 3041664765539 6083329531078 12166659062156 15208323827695 24333318124312 30416647655390 48666636248624 60833295310780 121666590621560 243333181243120