13004006400
13,004,006,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13004006400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 792 divisors.
13004006400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 13004006400:
210 × 32 × 52 × 7 × 11 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 733)See below for interesting mathematical facts about the number 13004006400 from the Numbermatics database.
Names of 13004006400
- Cardinal: 13004006400 can be written as Thirteen billion, four million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.30040064 × 1010
Factors of 13004006400
Divisors of 13004006400
- Number of divisors d(n): 792
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 50 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 99 100 105 110 112 120 126 128 132 140 144 150 154 160 165 168 175 176 180 192 198 200 210 220 224 225 231 240 252 256 264 275 280 288 300 308 315 320 330 336 350 352 360 384 385 396 400 420 440 448 450 462 480 495 504 512 525 528 550 560 576 600 616 630 640 660 672 693 700 704 720 733 768 770 792 800 825 840 880 896 900 924 960 990 1008 1024 1050 1056 1100 1120 1152 1155 1200 1232 1260 1280 1320 1344 1386 1400 1408 1440 1466 1536 1540 1575 1584 1600 1650 1680 1760 1792 1800 1848 1920 1925 1980 2016 2100 2112 2199 2200 2240 2304 2310 2400 2464 2475 2520 2560 2640 2688 2772 2800 2816 2880 2932 3072 3080 3150 3168 3200 3300 3360 3465 3520 3584 3600 3665 3696 3840 3850 3960 4032 4200 4224 4398 4400 4480 4608 4620 4800 4928 4950 5040 5120 5131 5280 5376 5544 5600 5632 5760 5775 5864 6160 6300 6336 6400 6597 6600 6720 6930 7040 7168 7200 7330 7392 7680 7700 7920 8063 8064 8400 8448 8796 8800 8960 9216 9240 9600 9856 9900 10080 10262 10560 10752 10995 11088 11200 11264 11520 11550 11728 12320 12600 12672 12800 13194 13200 13440 13860 14080 14400 14660 14784 15360 15393 15400 15840 16126 16128 16800 16896 17325 17592 17600 17920 18325 18480 19200 19712 19800 20160 20524 21120 21504 21990 22176 22400 23040 23100 23456 24189 24640 25200 25344 25600 25655 26388 26400 26880 27720 28160 28800 29320 29568 30786 30800 31680 32252 32256 32985 33600 33792 34650 35184 35200 35840 36650 36960 38400 39424 39600 40315 40320 41048 42240 43980 44352 44800 46080 46179 46200 46912 48378 49280 50400 50688 51310 52776 52800 53760 54975 55440 56320 56441 57600 58640 59136 61572 61600 63360 64504 64512 65970 67200 69300 70368 70400 72567 73300 73920 76800 76965 78848 79200 80630 80640 82096 84480 87960 88704 89600 92358 92400 93824 96756 98560 100800 101376 102620 105552 105600 107520 109950 110880 112882 115200 117280 118272 120945 123144 123200 126720 128275 129008 131940 134400 138600 140736 140800 145134 146600 147840 153930 158400 161260 161280 164192 164925 168960 169323 175920 177408 179200 184716 184800 187648 193512 197120 201575 201600 205240 211104 211200 219900 221760 225764 230400 230895 234560 236544 241890 246288 246400 253440 256550 258016 263880 268800 277200 281472 281600 282205 290268 293200 295680 307860 316800 322520 322560 328384 329850 338646 351840 354816 362835 369432 369600 375296 384825 387024 394240 403150 403200 410480 422208 422400 439800 443520 451528 461790 469120 483780 492576 492800 506880 507969 513100 516032 527760 537600 554400 562944 564410 580536 586400 591360 604725 615720 633600 645040 656768 659700 677292 703680 709632 725670 738864 739200 750592 769650 774048 806300 806400 820960 844416 844800 846615 879600 887040 903056 923580 938240 967560 985152 985600 1015938 1026200 1032064 1055520 1108800 1125888 1128820 1154475 1161072 1172800 1182720 1209450 1231440 1267200 1290080 1313536 1319400 1354584 1407360 1411025 1451340 1477728 1478400 1539300 1548096 1612600 1612800 1641920 1688832 1693230 1759200 1774080 1806112 1814175 1847160 1876480 1935120 1970304 1971200 2031876 2052400 2064128 2111040 2217600 2251776 2257640 2308950 2322144 2345600 2418900 2462880 2534400 2539845 2580160 2627072 2638800 2709168 2814720 2822050 2902680 2955456 2956800 3078600 3096192 3225200 3283840 3377664 3386460 3518400 3548160 3612224 3628350 3694320 3752960 3870240 3940608 4063752 4104800 4128256 4222080 4233075 4435200 4515280 4617900 4644288 4691200 4837800 4925760 5079690 5160320 5254144 5277600 5418336 5629440 5644100 5805360 5910912 5913600 6157200 6192384 6450400 6567680 6755328 6772920 7036800 7224448 7256700 7388640 7740480 7881216 8127504 8209600 8256512 8444160 8466150 8870400 9030560 9235800 9288576 9382400 9675600 9851520 10159380 10320640 10555200 10836672 11258880 11288200 11610720 11821824 12314400 12384768 12699225 12900800 13135360 13545840 14073600 14448896 14513400 14777280 15480960 15762432 16255008 16419200 16888320 16932300 17740800 18061120 18471600 18577152 18764800 19351200 19703040 20318760 20641280 21110400 21673344 22576400 23221440 23643648 24628800 24769536 25398450 25801600 26270720 27091680 28147200 28897792 29026800 29554560 30961920 32510016 32838400 33776640 33864600 36122240 36943200 37154304 38702400 39406080 40637520 41282560 42220800 43346688 45152800 46442880 47287296 49257600 50796900 51603200 54183360 56294400 57795584 58053600 59109120 61923840 65020032 65676800 67729200 72244480 73886400 74308608 77404800 78812160 81275040 84441600 86693376 90305600 92885760 98515200 101593800 103206400 108366720 116107200 118218240 123847680 130040064 131353600 135458400 144488960 147772800 154809600 162550080 168883200 173386752 180611200 185771520 197030400 203187600 206412800 216733440 232214400 236436480 260080128 270916800 288977920 295545600 309619200 325100160 361222400 371543040 394060800 406375200 433466880 464428800 520160256 541833600 591091200 619238400 650200320 722444800 812750400 866933760 928857600 1083667200 1182182400 1300400640 1444889600 1625500800 1857715200 2167334400 2600801280 3251001600 4334668800 6502003200 13004006400
- Sum of all divisors σ(n): 58128642624
- Sum of proper divisors (its aliquot sum) s(n): 45124636224
- 13004006400 is an abundant number, because the sum of its proper divisors (45124636224) is greater than itself. Its abundance is 32120629824
Bases of 13004006400
- Binary: 11000001110001100101100100000000002
- Hexadecimal: 0x307196400
- Base-36: 5Z28ZK0
Squares and roots of 13004006400
- 13004006400 squared (130040064002) is 169104182451240960000
- 13004006400 cubed (130040064003) is 2199031870862705131782144000000
-
The
square root of 13004006400 is 114035.1103827237 -
The
cube root of 13004006400 is 2351.5762113033
Scales and comparisons
How big is 13004006400?- 13,004,006,400 seconds is equal to 413 years, 25 weeks, 2 days, 8 hours.
-
To count from 1 to 13,004,006,400 would take you about eight hundred twenty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13004006400 cubic inches would be around 196 feet tall.
Recreational maths with 13004006400
- 13004006400 backwards is 00460040031
- 13004006400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13004006400's digits is 18
- More coming soon!
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The information we have on file for 13004006400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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