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241234331033345 = 513374147226722961
BaseRepresentation
bin110110110110011010111110…
…100110111101111100000001
31011122010202222022011101001212
4312312122332212331330001
5223104340402221031340
62213021304411335505
7101545414415140526
oct6666327646757401
91148122868141055
10241234331033345
116a9569a59a1a41
12230809b5451595
13a47b3b88a0050
14437db37d5714d
151cd50d2934a65
hexdb66be9bdf01

241234331033345 has 128 divisors (see below), whose sum is σ = 335124495562752. Its totient is φ = 165422031667200.

The previous prime is 241234331033329. The next prime is 241234331033347. The reversal of 241234331033345 is 543330133432142.

It is not a de Polignac number, because 241234331033345 - 24 = 241234331033329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (241234331033347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10506252665 + ... + 10506275625.

It is an arithmetic number, because the mean of its divisors is an integer number (2618160121584).

Almost surely, 2241234331033345 is an apocalyptic number.

It is an amenable number.

241234331033345 is a deficient number, since it is larger than the sum of its proper divisors (93890164529407).

241234331033345 is a wasteful number, since it uses less digits than its factorization.

241234331033345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25371.

The product of its (nonzero) digits is 933120, while the sum is 41.

Adding to 241234331033345 its reverse (543330133432142), we get a palindrome (784564464465487).

The spelling of 241234331033345 in words is "two hundred forty-one trillion, two hundred thirty-four billion, three hundred thirty-one million, thirty-three thousand, three hundred forty-five".

Divisors: 1 5 13 37 41 47 65 185 205 235 481 533 611 1517 1739 1927 2267 2405 2665 3055 7585 8695 9635 11335 19721 22607 22961 25051 29471 71299 83879 92947 98605 106549 113035 114805 125255 147355 298493 356495 419395 464735 532745 849557 926887 941401 1079167 1090427 1208311 1385137 1492465 3439039 3942313 4247785 4368509 4634435 4707005 5395835 5452135 6041555 6925685 11044241 12238213 14029171 17195195 19711565 21842545 34831837 39929179 44245847 44707507 51250069 52052587 55221205 56790617 61191065 70145855 161634833 174159185 199645895 221229235 223537535 256250345 260262935 283953085 452813881 519079327 575196011 676683631 808174165 1637096339 1925945719 2101252829 2134156067 2264069405 2446471589 2595396635 2875980055 3383418155 8185481695 9629728595 10506264145 10670780335 12232357945 21282252407 25037294347 27744028871 31804130657 78963774479 90519448793 100305335149 106411262035 125186471735 138720144355 159020653285 394818872395 452597243965 501526675745 1026529068227 1176752834309 1303969356937 3711297400513 5132645341135 5883764171545 6519846784685 18556487002565 48246866206669 241234331033345