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424245141542424 = 233378391907298601
BaseRepresentation
bin110000001110110010100010…
…0111101011001011000011000
32001122010102212100110221222210
41200131211010331121120120
5421101313022213324144
64102143305533115120
7155234462045465646
oct14035450475313030
92048112770427883
10424245141542424
111131a5399397454
123b6b9673628aa0
13152951b6c87917
1476a980827c196
15340a8ca490ab9
hex181d944f59618

424245141542424 has 128 divisors (see below), whose sum is σ = 1091151906163200. Its totient is φ = 137356496870400.

The previous prime is 424245141542359. The next prime is 424245141542483.

424245141542424 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1420626724 + ... + 1420925324.

It is an arithmetic number, because the mean of its divisors is an integer number (8524624266900).

Almost surely, 2424245141542424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424245141542424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545575953081600).

424245141542424 is an abundant number, since it is smaller than the sum of its proper divisors (666906764620776).

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

424245141542424 is a wasteful number, since it uses less digits than its factorization.

424245141542424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301393 (or 301389 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 48.

The spelling of 424245141542424 in words is "four hundred twenty-four trillion, two hundred forty-five billion, one hundred forty-one million, five hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 839 888 1678 1907 2517 3356 3814 5034 5721 6712 7628 10068 11442 15256 20136 22884 31043 45768 62086 70559 93129 124172 141118 186258 211677 248344 282236 298601 372516 423354 564472 597202 745032 846708 895803 1194404 1599973 1693416 1791606 2388808 3199946 3583212 4799919 6399892 7166424 9599838 11048237 12799784 19199676 22096474 33144711 38399352 44192948 59199001 66289422 88385896 118398002 132578844 177597003 236796004 250526239 265157688 355194006 473592008 501052478 569432107 710388012 751578717 1002104956 1138864214 1420776024 1503157434 1708296321 2004209912 2277728428 3006314868 3416592642 4555456856 6012629736 6833185284 9269470843 13666370568 18538941686 21068987959 27808412529 37077883372 42137975918 55616825058 63206963877 74155766744 84275951836 111233650116 126413927754 168551903672 222467300232 252827855508 477753537773 505655711016 955507075546 1433260613319 1911014151092 2866521226638 3822028302184 5733042453276 11466084906552 17676880897601 35353761795202 53030642692803 70707523590404 106061285385606 141415047180808 212122570771212 424245141542424