Search a number
-
+
241503150401 = 37101241268153
BaseRepresentation
bin1110000011101010110…
…1011010000101000001
3212002100202210011200222
43200322231122011001
512424044301303101
6302540042352425
723306446623332
oct3407255320501
9762322704628
10241503150401
119346a2613a7
123a97aabb715
1319a09927936
14b990172289
156436dc901b
hex383ab5a141

241503150401 has 16 divisors (see below), whose sum is σ = 251526306768. Its totient is φ = 231683328000.

The previous prime is 241503150377. The next prime is 241503150403. The reversal of 241503150401 is 104051305142.

It can be written as a sum of positive squares in 8 ways, for example, as 81866943376 + 159636207025 = 286124^2 + 399545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-241503150401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (241503150403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766541 + ... + 1034693.

It is an arithmetic number, because the mean of its divisors is an integer number (15720394173).

Almost surely, 2241503150401 is an apocalyptic number.

It is an amenable number.

241503150401 is a deficient number, since it is larger than the sum of its proper divisors (10023156367).

241503150401 is a wasteful number, since it uses less digits than its factorization.

241503150401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268532.

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 241503150401 its reverse (104051305142), we get a palindrome (345554455543).

The spelling of 241503150401 in words is "two hundred forty-one billion, five hundred three million, one hundred fifty thousand, four hundred one".

Divisors: 1 37 101 241 3737 8917 24341 268153 900617 9921661 27083453 64624873 1002087761 2391120301 6527112173 241503150401