Search a number
-
+
241849128213 = 33711577201611
BaseRepresentation
bin1110000100111101010…
…1001101010100010101
3212010020212210200001000
43201033111031110111
512430301334100323
6303034242053513
723321150446110
oct3411725152425
9763225720030
10241849128213
1193627589680
123aa5694a299
1319a63503134
14b9c40b3577
15645746ae43
hex384f54d515

241849128213 has 64 divisors (see below), whose sum is σ = 447481866240. Its totient is φ = 125417548800.

The previous prime is 241849128127. The next prime is 241849128221. The reversal of 241849128213 is 312821948142.

241849128213 is a `hidden beast` number, since 2 + 418 + 4 + 9 + 12 + 8 + 213 = 666.

241849128213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 241849128213 - 29 = 241849127701 is a prime.

It is a super-2 number, since 2×2418491282132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241849128263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1098778 + ... + 1300388.

It is an arithmetic number, because the mean of its divisors is an integer number (6991904160).

Almost surely, 2241849128213 is an apocalyptic number.

It is an amenable number.

241849128213 is a deficient number, since it is larger than the sum of its proper divisors (205632738027).

241849128213 is a wasteful number, since it uses less digits than its factorization.

241849128213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202215 (or 202209 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 241849128213 in words is "two hundred forty-one billion, eight hundred forty-nine million, one hundred twenty-eight thousand, two hundred thirteen".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 577 693 1731 2079 4039 5193 6347 12117 15579 19041 36351 44429 57123 109053 133287 171369 201611 399861 604833 1199583 1411277 1814499 2217721 4233831 5443497 6653163 12701493 15524047 19959489 38104479 46572141 59878467 116329547 139716423 348988641 419149269 814306829 1046965923 1279625017 2442920487 3140897769 3838875051 7328761461 8957375119 11516625153 21986284383 26872125357 34549875459 80616376071 241849128213