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324514144013440 = 275232958512949
BaseRepresentation
bin100100111001001001101011…
…0010001110100110010000000
31120120000020201122202211120011
41021302103112101310302000
5320013314431331412230
63110103423434554304
7125232242002520323
oct11162232621646200
91516006648684504
10324514144013440
1194444748258227
1230491022298994
1310c0c724a24c64
145a1c7d589a7ba
15277b556db1e2a
hex12724d6474c80

324514144013440 has 96 divisors (see below), whose sum is σ = 810988221865500. Its totient is φ = 124161933232128.

The previous prime is 324514144013369. The next prime is 324514144013447. The reversal of 324514144013440 is 44310441415423.

It can be written as a sum of positive squares in 2 ways, for example, as 309350970317376 + 15163173696064 = 17588376^2 + 3893992^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 324514144013393 and 324514144013402.

It is not an unprimeable number, because it can be changed into a prime (324514144013447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478917915 + ... + 479595034.

Almost surely, 2324514144013440 is an apocalyptic number.

It is an amenable number.

324514144013440 is an abundant number, since it is smaller than the sum of its proper divisors (486474077852060).

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

324514144013440 is an equidigital number, since it uses as much as digits as its factorization.

324514144013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958513014 (or 958512979 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 324514144013440 its reverse (44310441415423), we get a palindrome (368824585428863).

The spelling of 324514144013440 in words is "three hundred twenty-four trillion, five hundred fourteen billion, one hundred forty-four million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 529 640 736 920 1058 1472 1840 2116 2645 2944 3680 4232 5290 7360 8464 10580 14720 16928 21160 33856 42320 67712 84640 169280 338560 958512949 1917025898 3834051796 4792564745 7668103592 9585129490 15336207184 19170258980 22045797827 30672414368 38340517960 44091595654 61344828736 76681035920 88183191308 110228989135 122689657472 153362071840 176366382616 220457978270 306724143680 352732765232 440915956540 507053350021 613448287360 705465530464 881831913080 1014106700042 1410931060928 1763663826160 2028213400084 2535266750105 2821862121856 3527327652320 4056426800168 5070533500210 7054655304640 8112853600336 10141067000420 14109310609280 16225707200672 20282134000840 32451414401344 40564268001680 64902828802688 81128536003360 162257072006720 324514144013440