Search a number
-
+
242400100433 = 732373121949
BaseRepresentation
bin1110000111000000101…
…1000000000001010001
3212011200021112221211112
43201300023000001101
512432413411203213
6303205043223105
723340620600111
oct3416013000121
9764607487745
10242400100433
119388a5a0217
123ab8b377a95
1319b206c3cba
14ba37337041
15648aa01ea8
hex38702c0051

242400100433 has 12 divisors (see below), whose sum is σ = 246427047900. Its totient is φ = 238436631936.

The previous prime is 242400100427. The next prime is 242400100471. The reversal of 242400100433 is 334001004242.

It can be written as a sum of positive squares in 6 ways, for example, as 2087393344 + 240312707089 = 45688^2 + 490217^2 .

It is a de Polignac number, because none of the positive numbers 2k-242400100433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242400100399 and 242400100408.

It is not an unprimeable number, because it can be changed into a prime (242400100333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1926743 + ... + 2048691.

It is an arithmetic number, because the mean of its divisors is an integer number (20535587325).

Almost surely, 2242400100433 is an apocalyptic number.

It is an amenable number.

242400100433 is a deficient number, since it is larger than the sum of its proper divisors (4026947467).

242400100433 is an equidigital number, since it uses as much as digits as its factorization.

242400100433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122468 (or 122395 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 242400100433 its reverse (334001004242), we get a palindrome (576401104675).

The spelling of 242400100433 in words is "two hundred forty-two billion, four hundred million, one hundred thousand, four hundred thirty-three".

Divisors: 1 73 373 5329 27229 121949 1987717 8902277 45486977 649866221 3320549321 242400100433