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424104315434440 = 235349163327186007
BaseRepresentation
bin110000001101110000111101…
…1000100011011010111001000
32001121121222100221022110010121
41200123201323010123113020
5421042011114222400230
64101554455520553024
7155221345203354364
oct14033417304332710
92047558327273117
10424104315434440
111131506a2760143
123b696311182774
1315284b33201444
1476a2a8904a2a4
153406dd6e8b77a
hex181b87b11b5c8

424104315434440 has 64 divisors (see below), whose sum is σ = 956979910656000. Its totient is φ = 169153701643008.

The previous prime is 424104315434399. The next prime is 424104315434447. The reversal of 424104315434440 is 44434513401424.

It is a super-2 number, since 2×4241043154344402 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (424104315434447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2279951917 + ... + 2280137923.

It is an arithmetic number, because the mean of its divisors is an integer number (14952811104000).

Almost surely, 2424104315434440 is an apocalyptic number.

424104315434440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424104315434440 is an abundant number, since it is smaller than the sum of its proper divisors (532875595221560).

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

424104315434440 is a wasteful number, since it uses less digits than its factorization.

424104315434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349694 (or 349690 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 43.

Adding to 424104315434440 its reverse (44434513401424), we get a palindrome (468538828835864).

The spelling of 424104315434440 in words is "four hundred twenty-four trillion, one hundred four billion, three hundred fifteen million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 349 698 1396 1745 2792 3490 6980 13960 163327 186007 326654 372014 653308 744028 816635 930035 1306616 1488056 1633270 1860070 3266540 3720140 6533080 7440280 57001123 64916443 114002246 129832886 228004492 259665772 285005615 324582215 456008984 519331544 570011230 649164430 1140022460 1298328860 2280044920 2596657720 30379965289 60759930578 121519861156 151899826445 243039722312 303799652890 607599305780 1215198611560 10602607885861 21205215771722 42410431543444 53013039429305 84820863086888 106026078858610 212052157717220 424104315434440