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514414033442504 = 231379170936636191
BaseRepresentation
bin111010011110110110101100…
…1101110110001011011001000
32111110101111112110110201020122
41310331231121232301123020
51014411124420030130004
65022022313342242412
7213232121203612016
oct16475553156613310
92443344473421218
10514414033442504
111399a984814a918
1249840a76b86408
131910605c4739b0
149105ab478b8b6
153e71152231cbe
hex1d3db59bb16c8

514414033442504 has 64 divisors (see below), whose sum is σ = 1052484523776000. Its totient is φ = 234279349274880.

The previous prime is 514414033442467. The next prime is 514414033442513. The reversal of 514414033442504 is 405244330414415.

It is a super-3 number, since 3×5144140334425043 (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4276952 + ... + 32359239.

It is an arithmetic number, because the mean of its divisors is an integer number (16445070684000).

Almost surely, 2514414033442504 is an apocalyptic number.

It is an amenable number.

514414033442504 is an abundant number, since it is smaller than the sum of its proper divisors (538070490333496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

514414033442504 is a wasteful number, since it uses less digits than its factorization.

514414033442504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36637998 (or 36637994 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 44.

Adding to 514414033442504 its reverse (405244330414415), we get a palindrome (919658363856919).

The spelling of 514414033442504 in words is "five hundred fourteen trillion, four hundred fourteen billion, thirty-three million, four hundred forty-two thousand, five hundred four".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 632 1027 1709 2054 3418 4108 6836 8216 13672 22217 44434 88868 135011 177736 270022 540044 1080088 1755143 3510286 7020572 14041144 36636191 73272382 146544764 293089528 476270483 952540966 1905081932 2894259089 3810163864 5788518178 11577036356 23154072712 37625368157 62611250419 75250736314 125222500838 150501472628 250445001676 301002945256 500890003352 813946255447 1627892510894 3255785021788 4946288783101 6511570043576 9892577566202 19785155132404 39570310264808 64301754180313 128603508360626 257207016721252 514414033442504