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4334413430424 = 2337115694122077
BaseRepresentation
bin111111000100101111001…
…011000011111010011000
3120100100212201120010102110
4333010233023003322120
51032003334314233144
613115111350232320
7625102543160430
oct77045713037230
916310781503373
104334413430424
11142123a424560
125a00563556a0
1325596c47550c
1410db02add2c0
1577b349810b9
hex3f12f2c3e98

4334413430424 has 128 divisors (see below), whose sum is σ = 13533606489600. Its totient is φ = 1123842800640.

The previous prime is 4334413430423. The next prime is 4334413430437. The reversal of 4334413430424 is 4240343144334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334413430423) 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 31 ways as a sum of consecutive naturals, for example, 1009527 + ... + 3112550.

It is an arithmetic number, because the mean of its divisors is an integer number (105731300700).

Almost surely, 24334413430424 is an apocalyptic number.

4334413430424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4334413430424 is an abundant number, since it is smaller than the sum of its proper divisors (9199193059176).

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

4334413430424 is a wasteful number, since it uses less digits than its factorization.

4334413430424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122673 (or 4122669 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 4334413430424 its reverse (4240343144334), we get a palindrome (8574756574758).

The spelling of 4334413430424 in words is "four trillion, three hundred thirty-four billion, four hundred thirteen million, four hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 569 616 924 1138 1707 1848 2276 3414 3983 4552 6259 6828 7966 11949 12518 13656 15932 18777 23898 25036 31864 37554 43813 47796 50072 75108 87626 95592 131439 150216 175252 262878 350504 525756 1051512 4122077 8244154 12366231 16488308 24732462 28854539 32976616 45342847 49464924 57709078 86563617 90685694 98929848 115418156 136028541 173127234 181371388 230836312 272057082 317399929 346254468 362742776 544114164 634799858 692508936 952199787 1088228328 1269599716 1904399574 2345461813 2539199432 3808799148 4690923626 7036385439 7617598296 9381847252 14072770878 16418232691 18763694504 25800079943 28145541756 32836465382 49254698073 51600159886 56291083512 65672930764 77400239829 98509396146 103200319772 131345861528 154800479658 180600559601 197018792292 206400639544 309600959316 361201119202 394037584584 541801678803 619201918632 722402238404 1083603357606 1444804476808 2167206715212 4334413430424