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4335324234144 = 25347265331307
BaseRepresentation
bin111111000101100101011…
…101100000000110100000
3120100110020012101202020120
4333011211131200012200
51032012221000443034
613115342004040240
7625134242654031
oct77054535400640
916313205352216
104335324234144
111421667565902
125a026b393080
13255a86082527
1410db8ba6ca88
1577b898e3c49
hex3f1657601a0

4335324234144 has 144 divisors (see below), whose sum is σ = 11645688606048. Its totient is φ = 1412150046208.

The previous prime is 4335324234107. The next prime is 4335324234181. The reversal of 4335324234144 is 4414324235334.

It is an interprime number because it is at equal distance from previous prime (4335324234107) and next prime (4335324234181).

It is a junction number, because it is equal to n+sod(n) for n = 4335324234096 and 4335324234105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138462139 + ... + 138493445.

It is an arithmetic number, because the mean of its divisors is an integer number (80872837542).

Almost surely, 24335324234144 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 4335324234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822844303024).

4335324234144 is an abundant number, since it is smaller than the sum of its proper divisors (7310364371904).

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

4335324234144 is a wasteful number, since it uses less digits than its factorization.

4335324234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32067 (or 32012 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 42.

Adding to 4335324234144 its reverse (4414324235334), we get a palindrome (8749648469478).

The spelling of 4335324234144 in words is "four trillion, three hundred thirty-five billion, three hundred twenty-four million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 653 752 1128 1306 1504 1959 2209 2256 2612 3918 4418 4512 5224 6627 7836 8836 10448 13254 15672 17672 20896 26508 30691 31307 31344 35344 53016 61382 62614 62688 70688 92073 93921 106032 122764 125228 184146 187842 212064 245528 250456 368292 375684 491056 500912 736584 751368 982112 1001824 1442477 1471429 1473168 1502736 2884954 2942858 2946336 3005472 4327431 4414287 5769908 5885716 8654862 8828574 11539816 11771432 17309724 17657148 20443471 23079632 23542864 34619448 35314296 40886942 46159264 47085728 61330413 69157163 69238896 70628592 81773884 122660826 138314326 138477792 141257184 163547768 207471489 245321652 276628652 327095536 414942978 490643304 553257304 654191072 829885956 960843137 981286608 1106514608 1659771912 1921686274 1962573216 2213029216 2882529411 3319543824 3843372548 5765058822 6639087648 7686745096 11530117644 15373490192 23060235288 30746980384 45159627439 46120470576 90319254878 92240941152 135478882317 180638509756 270957764634 361277019512 541915529268 722554039024 1083831058536 1445108078048 2167662117072 4335324234144