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241011131142145 = 5731321039800333
BaseRepresentation
bin110110110011001011000110…
…110110111101000000000001
31011121100102212010012002210211
4312303023012312331000001
5223042211244033022040
62212330552443154121
7101523323335312000
oct6663130666750001
91147312763162724
10241011131142145
116a880279423141
12230456a4215941
13a463337c75100
1443730029d2c37
151cce3bc8688ea
hexdb32c6dbd001

241011131142145 has 96 divisors (see below), whose sum is σ = 365566960512000. Its totient is φ = 152405084272896.

The previous prime is 241011131142137. The next prime is 241011131142181. The reversal of 241011131142145 is 541241131110142.

It is a happy number.

It is not a de Polignac number, because 241011131142145 - 23 = 241011131142137 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 300738399 + ... + 301538731.

It is an arithmetic number, because the mean of its divisors is an integer number (3807989172000).

Almost surely, 2241011131142145 is an apocalyptic number.

It is an amenable number.

241011131142145 is a deficient number, since it is larger than the sum of its proper divisors (124555829369855).

241011131142145 is a wasteful number, since it uses less digits than its factorization.

241011131142145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801424 (or 801397 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

Adding to 241011131142145 its reverse (541241131110142), we get a palindrome (782252262252287).

The spelling of 241011131142145 in words is "two hundred forty-one trillion, eleven billion, one hundred thirty-one million, one hundred forty-two thousand, one hundred forty-five".

Divisors: 1 5 7 13 35 49 65 91 169 245 343 455 637 845 1039 1183 1715 3185 4459 5195 5915 7273 8281 13507 22295 36365 41405 50911 57967 67535 94549 175591 254555 289835 356377 472745 661843 800333 877955 1229137 1781885 3309215 4001665 4632901 5602331 6145685 8603959 10404329 23164505 28011655 39216317 43019795 52021645 60227713 72830303 135256277 196081585 274514219 301138565 364151515 509812121 676281385 831545987 946793939 1372571095 2549060605 3568684847 4157729935 4733969695 5820821909 6627557573 10810097831 17843424235 29104109545 33137787865 40745753363 46392903011 54050489155 75670684817 140531271803 203728766815 231964515055 285220273541 378353424085 529694793719 702656359015 983718902621 1426101367705 2648473968595 3707863556033 4918594513105 6886032318347 18539317780165 34430161591735 48202226228429 241011131142145