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325051231440 = 243513622116747
BaseRepresentation
bin1001011101011101001…
…00000010110011010000
31011002000101020102212210
410232232210002303100
520311201103401230
6405154303552120
732325033610455
oct4565644026320
91132011212783
10325051231440
11115942a45261
1252bb6bbb640
1324862b61b90
1411a3822382c
1586c6b00eb0
hex4bae902cd0

325051231440 has 160 divisors (see below), whose sum is σ = 1085410279296. Its totient is φ = 79994972160.

The previous prime is 325051231433. The next prime is 325051231457. The reversal of 325051231440 is 44132150523.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 325051231398 and 325051231407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19401147 + ... + 19417893.

Almost surely, 2325051231440 is an apocalyptic number.

325051231440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325051231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542705139648).

325051231440 is an abundant number, since it is smaller than the sum of its proper divisors (760359047856).

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

325051231440 is a wasteful number, since it uses less digits than its factorization.

325051231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22997 (or 22991 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 325051231440 its reverse (44132150523), we get a palindrome (369183381963).

The spelling of 325051231440 in words is "three hundred twenty-five billion, fifty-one million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 6221 12442 16747 18663 24884 31105 33494 37326 49768 50241 62210 66988 74652 80873 83735 93315 99536 100482 124420 133976 149304 161746 167470 186630 200964 217711 242619 248840 251205 267952 298608 323492 334940 373260 401928 404365 435422 485238 497680 502410 646984 653133 669880 746520 803856 808730 870844 970476 1004820 1088555 1213095 1293968 1306266 1339760 1493040 1617460 1741688 1940952 2009640 2177110 2426190 2612532 3234920 3265665 3483376 3881904 4019280 4354220 4852380 5225064 6469840 6531330 8708440 9704760 10450128 13062660 17416880 19409520 26125320 52250640 104183087 208366174 312549261 416732348 520915435 625098522 833464696 1041830870 1250197044 1354380131 1562746305 1666929392 2083661740 2500394088 2708760262 3125492610 4063140393 4167323480 5000788176 5417520524 6250985220 6771900655 8126280786 8334646960 10835041048 12501970440 13543801310 16252561572 20315701965 21670082096 25003940880 27087602620 32505123144 40631403930 54175205240 65010246288 81262807860 108350410480 162525615720 325051231440