Search a number
-
+
241524734240 = 2553740798097
BaseRepresentation
bin1110000011101111111…
…1101111100100100000
3212002102021101202011102
43200323333233210200
512424120312443430
6302542133133532
723310131240066
oct3407377574440
9762367352142
10241524734240
1193480463689
123a98618a2a8
1319a11243c3a
14b992d90036
156438c3e345
hex383bfef920

241524734240 has 48 divisors (see below), whose sum is σ = 586023879672. Its totient is φ = 93998813184.

The previous prime is 241524734237. The next prime is 241524734267. The reversal of 241524734240 is 42437425142.

241524734240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 209028182416 + 32496551824 = 457196^2 + 180268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241524734194 and 241524734203.

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, 20393129 + ... + 20404968.

Almost surely, 2241524734240 is an apocalyptic number.

241524734240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241524734240 is an abundant number, since it is smaller than the sum of its proper divisors (344499145432).

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

241524734240 is a wasteful number, since it uses less digits than its factorization.

241524734240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40798149 (or 40798141 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 38.

The spelling of 241524734240 in words is "two hundred forty-one billion, five hundred twenty-four million, seven hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 40798097 81596194 163192388 203990485 326384776 407980970 652769552 815961940 1305539104 1509529589 1631923880 3019059178 3263847760 6038118356 6527695520 7547647945 12076236712 15095295890 24152473424 30190591780 48304946848 60381183560 120762367120 241524734240