Search a number
-
+
241141553232 = 243107344913613
BaseRepresentation
bin1110000010010100101…
…0000001100001010000
3212001102120101010122020
43200211022001201100
512422324214200412
6302440124211440
723264466245226
oct3404512014120
9761376333566
10241141553232
11932a4136068
123a899999b80
131997ca40c08
14b958126b16
15641529e18c
hex3825281850

241141553232 has 80 divisors (see below), whose sum is σ = 628999473600. Its totient is φ = 79600362496.

The previous prime is 241141553209. The next prime is 241141553239. The reversal of 241141553232 is 232355141142.

It is a junction number, because it is equal to n+sod(n) for n = 241141553193 and 241141553202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241141553239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17707258 + ... + 17720870.

It is an arithmetic number, because the mean of its divisors is an integer number (7862493420).

Almost surely, 2241141553232 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 241141553232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314499736800).

241141553232 is an abundant number, since it is smaller than the sum of its proper divisors (387857920368).

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

241141553232 is a wasteful number, since it uses less digits than its factorization.

241141553232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17180 (or 17174 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

Adding to 241141553232 its reverse (232355141142), we get a palindrome (473496694374).

The spelling of 241141553232 in words is "two hundred forty-one billion, one hundred forty-one million, five hundred fifty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 3449 5136 6898 10347 13613 13796 20694 27226 27592 40839 41388 54452 55184 81678 82776 108904 163356 165552 217808 326712 369043 653424 738086 1107129 1456591 1476172 2214258 2913182 2952344 4369773 4428516 5826364 5904688 8739546 8857032 11652728 17479092 17714064 23305456 34958184 46951237 69916368 93902474 140853711 187804948 281707422 375609896 563414844 751219792 1126829688 2253659376 5023782359 10047564718 15071347077 20095129436 30142694154 40190258872 60285388308 80380517744 120570776616 241141553232