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241132503040 = 217511133183
BaseRepresentation
bin1110000010010010011…
…1100000000000000000
3212001101221100100002221
43200210213200000000
512422314410044130
6302435202220424
723264326312642
oct3404447400000
9761357310087
10241132503040
119329a014570
123a896954714
131997abc2780
14b956c4c892
1564145b287a
hex38249e0000

241132503040 has 576 divisors, whose sum is σ = 710277507072. Its totient is φ = 77384908800.

The previous prime is 241132503023. The next prime is 241132503041. The reversal of 241132503040 is 40305231142.

It is a junction number, because it is equal to n+sod(n) for n = 241132502996 and 241132503014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241132503041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2905210839 + ... + 2905210921.

It is an arithmetic number, because the mean of its divisors is an integer number (1233120672).

Almost surely, 2241132503040 is an apocalyptic number.

241132503040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241132503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355138753536).

241132503040 is an abundant number, since it is smaller than the sum of its proper divisors (469145004032).

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

241132503040 is an equidigital number, since it uses as much as digits as its factorization.

241132503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 241132503040 its reverse (40305231142), we get a palindrome (281437734182).

The spelling of 241132503040 in words is "two hundred forty-one billion, one hundred thirty-two million, five hundred three thousand, forty".