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414245454415 = 513297107149317
BaseRepresentation
bin1100000011100101111…
…01000000001001001111
31110121020110220102201121
412001302331000021033
523241333314020130
6514145101421411
741633250160042
oct6016275001117
91417213812647
10414245454415
1114a75383a121
1268349b6a867
13300a8a5a900
141609a0d0c59
15ab97363d7a
hex6072f4024f

414245454415 has 96 divisors (see below), whose sum is σ = 554332766400. Its totient is φ = 296968568832.

The previous prime is 414245454379. The next prime is 414245454421. The reversal of 414245454415 is 514454542414.

It is not a de Polignac number, because 414245454415 - 221 = 414243357263 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1306767837 + ... + 1306768153.

It is an arithmetic number, because the mean of its divisors is an integer number (5774299650).

Almost surely, 2414245454415 is an apocalyptic number.

414245454415 is a deficient number, since it is larger than the sum of its proper divisors (140087311985).

414245454415 is a wasteful number, since it uses less digits than its factorization.

414245454415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 688 counting only the distinct ones).

The product of its digits is 1024000, while the sum is 43.

Adding to 414245454415 its reverse (514454542414), we get a palindrome (928699996829).

The spelling of 414245454415 in words is "four hundred fourteen billion, two hundred forty-five million, four hundred fifty-four thousand, four hundred fifteen".

Divisors: 1 5 13 65 97 107 149 169 317 485 535 745 845 1261 1391 1585 1937 4121 6305 6955 9685 10379 14453 15943 16393 18083 20605 25181 30749 33919 47233 51895 53573 72265 79715 81965 90415 125905 134927 153745 169595 187889 207259 236165 267865 399737 440947 614029 674635 939445 1036295 1546471 1754051 1998685 2204735 2442557 2694367 3070145 3290143 4581601 5053931 5196581 5732311 7732355 7982377 8770255 12212785 13471835 16450715 20104123 22908005 25269655 25982905 28661555 39911885 42771859 59560813 65701103 100520615 213859295 261353599 297804065 328505515 490231307 556034167 774290569 854114339 1306767995 2451156535 2780170835 3871452845 4270571695 6373006991 31865034955 82849090883 414245454415