Search a number
-
+
241510435152020 = 22583181803802287
BaseRepresentation
bin110110111010011100000111…
…101100100110000010010100
31011200010011122110202212002022
4312322130013230212002110
5223123401332344331040
62213352210125032312
7101604360503340536
oct6672340754460224
91150104573685068
10241510435152020
116aa5300052a991
12231064100b5698
13a49b44ab589b8
14438d24b603856
151cdc39231c6b5
hexdba707b26094

241510435152020 has 48 divisors (see below), whose sum is σ = 516118233915648. Its totient is φ = 94912973930880.

The previous prime is 241510435152001. The next prime is 241510435152029. The reversal of 241510435152020 is 20251534015142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241510435152029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401600684 + ... + 402201603.

It is an arithmetic number, because the mean of its divisors is an integer number (10752463206576).

Almost surely, 2241510435152020 is an apocalyptic number.

241510435152020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241510435152020 is an abundant number, since it is smaller than the sum of its proper divisors (274607798763628).

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

241510435152020 is a wasteful number, since it uses less digits than its factorization.

241510435152020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803802560 (or 803802558 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 241510435152020 its reverse (20251534015142), we get a palindrome (261761969167162).

The spelling of 241510435152020 in words is "two hundred forty-one trillion, five hundred ten billion, four hundred thirty-five million, one hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 83 166 181 332 362 415 724 830 905 1660 1810 3620 15023 30046 60092 75115 150230 300460 803802287 1607604574 3215209148 4019011435 8038022870 16076045740 66715589821 133431179642 145488213947 266862359284 290976427894 333577949105 581952855788 667155898210 727441069735 1334311796420 1454882139470 2909764278940 12075521757601 24151043515202 48302087030404 60377608788005 120755217576010 241510435152020