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53440215434000 = 24531103197912241
BaseRepresentation
bin11000010011010100001010…
…00011101100001100010000
321000012211112111102121222022
430021222011003230030100
524001031030122342000
6305354032425231012
714153633233215413
oct1411520503541420
9230184474377868
1053440215434000
1116033960479a2a
125bb10a4032468
1323a8510472ab5
14d2a73d70db7a
1562a18163b585
hex309a850ec310

53440215434000 has 160 divisors (see below), whose sum is σ = 129411517847040. Its totient is φ = 21344170752000.

The previous prime is 53440215433937. The next prime is 53440215434033. The reversal of 53440215434000 is 43451204435.

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, 4365667880 + ... + 4365680120.

It is an arithmetic number, because the mean of its divisors is an integer number (808821986544).

Almost surely, 253440215434000 is an apocalyptic number.

53440215434000 is a gapful number since it is divisible by the number (50) 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 53440215434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64705758923520).

53440215434000 is an abundant number, since it is smaller than the sum of its proper divisors (75971302413040).

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

53440215434000 is a wasteful number, since it uses less digits than its factorization.

53440215434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15346 (or 15330 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 53440215434000 its reverse (43451204435), we get a palindrome (53483666638435).

The spelling of 53440215434000 in words is "fifty-three trillion, four hundred forty billion, two hundred fifteen million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1103 1979 2000 2206 3958 4412 5515 7916 8824 9895 11030 12241 15832 17648 19790 22060 24482 27575 31664 39580 44120 48964 49475 55150 61205 79160 88240 97928 98950 110300 122410 137875 158320 195856 197900 220600 244820 247375 275750 306025 395800 441200 489640 494750 551500 612050 791600 979280 989500 1103000 1224100 1530125 1979000 2182837 2206000 2448200 3060250 3958000 4365674 4896400 6120500 8731348 10914185 12241000 13501823 17462696 21828370 24224939 24482000 27003646 34925392 43656740 48449878 54007292 54570925 67509115 87313480 96899756 108014584 109141850 121124695 135018230 174626960 193799512 216029168 218283700 242249390 270036460 272854625 337545575 387599024 436567400 484498780 540072920 545709250 605623475 675091150 873134800 968997560 1080145840 1091418500 1211246950 1350182300 1687727875 1937995120 2182837000 2422493900 2700364600 3028117375 3375455750 4365674000 4844987800 5400729200 6056234750 6750911500 9689975600 12112469500 13501823000 24224939000 26720107717 27003646000 48449878000 53440215434 106880430868 133600538585 213760861736 267201077170 427521723472 534402154340 668002692925 1068804308680 1336005385850 2137608617360 2672010771700 3340013464625 5344021543400 6680026929250 10688043086800 13360053858500 26720107717000 53440215434000