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504241142405 = 5711131913074057
BaseRepresentation
bin1110101011001110001…
…11010011101010000101
31210012112102200001212212
413111213013103222011
531230141213024110
61023351205353205
751300364664120
oct7254707235205
91705472601785
10504241142405
11184935a85570
1281885408805
133871ba002b0
141a5965c93b7
15d1b313ce05
hex75671d3a85

504241142405 has 128 divisors (see below), whose sum is σ = 856052305920. Its totient is φ = 274603530240.

The previous prime is 504241142401. The next prime is 504241142477.

504241142405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 504241142405 - 22 = 504241142401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504241142401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124287137 + ... + 124291193.

It is an arithmetic number, because the mean of its divisors is an integer number (6687908640).

Almost surely, 2504241142405 is an apocalyptic number.

504241142405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

504241142405 is a deficient number, since it is larger than the sum of its proper divisors (351811163515).

504241142405 is a wasteful number, since it uses less digits than its factorization.

504241142405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419.

The product of its (nonzero) digits is 25600, while the sum is 32.

It can be divided in two parts, 504241 and 142405, that added together give a palindrome (646646).

The spelling of 504241142405 in words is "five hundred four billion, two hundred forty-one million, one hundred forty-two thousand, four hundred five".

Divisors: 1 5 7 11 13 19 35 55 65 77 91 95 133 143 209 247 385 455 665 715 1001 1045 1235 1307 1463 1729 2717 4057 5005 6535 7315 8645 9149 13585 14377 16991 19019 20285 24833 28399 44627 45745 52741 71885 77083 84955 95095 100639 118937 124165 141995 173831 186901 223135 263705 273163 312389 322829 369187 385415 503195 539581 580151 594685 847913 869155 934505 1002079 1308307 1365815 1561945 1614145 1845935 1912141 2259803 2697905 2900755 3551119 4061057 4239565 5010395 5302499 5935391 6541535 7014553 9560705 11022869 11299015 17755595 20305285 24857833 26512495 29676955 35072765 37117493 55114345 58327489 68932487 77160083 100747481 124289165 185587465 291637445 344662435 385800415 408292423 482527409 503737405 705232367 758257357 1108222291 1309717253 2041462115 2412637045 3526161835 3791286785 5307801499 5541111455 6548586265 7757556037 9168020771 14406889783 26539007495 38787780185 45840103855 72034448915 100848228481 504241142405