13640306400
13,640,306,400 is an even composite number composed of six prime numbers multiplied together.
13640306400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 13640306400:
25 × 32 × 52 × 72 × 23 × 412
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 23 × 41 × 41)See below for interesting mathematical facts about the number 13640306400 from the Numbermatics database.
Names of 13640306400
- Cardinal: 13640306400 can be written as Thirteen billion, six hundred forty million, three hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.36403064 × 1010
Factors of 13640306400
Divisors of 13640306400
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 28 30 32 35 36 40 41 42 45 46 48 49 50 56 60 63 69 70 72 75 80 82 84 90 92 96 98 100 105 112 115 120 123 126 138 140 144 147 150 160 161 164 168 175 180 184 196 200 205 207 210 224 225 230 240 245 246 252 276 280 287 288 294 300 315 322 328 336 345 350 360 368 369 392 400 410 414 420 441 450 460 480 483 490 492 504 525 552 560 574 575 588 600 615 630 644 656 672 690 700 720 735 736 738 784 800 805 820 828 840 861 882 900 920 943 966 980 984 1008 1025 1035 1050 1104 1120 1127 1148 1150 1176 1200 1225 1230 1260 1288 1312 1380 1400 1435 1440 1449 1470 1476 1568 1575 1610 1640 1656 1680 1681 1722 1725 1764 1800 1840 1845 1886 1932 1960 1968 2009 2016 2050 2070 2100 2205 2208 2254 2296 2300 2352 2400 2415 2450 2460 2520 2576 2583 2760 2800 2829 2870 2898 2940 2952 3075 3150 3220 3280 3312 3360 3362 3381 3444 3450 3528 3600 3675 3680 3690 3772 3864 3920 3936 4018 4025 4100 4140 4200 4305 4410 4508 4592 4600 4704 4715 4830 4900 4920 5040 5043 5152 5166 5175 5520 5600 5635 5658 5740 5796 5880 5904 6027 6150 6300 6440 6560 6601 6624 6724 6762 6888 6900 7056 7175 7200 7245 7350 7380 7544 7728 7840 8036 8050 8200 8280 8400 8405 8487 8610 8820 9016 9184 9200 9225 9430 9660 9800 9840 10045 10080 10086 10143 10332 10350 11025 11040 11270 11316 11480 11592 11760 11767 11808 12054 12075 12300 12600 12880 12915 13202 13448 13524 13776 13800 14112 14145 14350 14490 14700 14760 15088 15129 15456 16072 16100 16400 16560 16800 16810 16905 16974 17220 17640 18032 18081 18400 18450 18860 19320 19600 19680 19803 20090 20172 20286 20664 20700 21525 22050 22540 22632 22960 23184 23520 23534 23575 24108 24150 24600 25200 25215 25760 25830 26404 26896 27048 27552 27600 28175 28290 28700 28980 29400 29520 30135 30176 30258 32144 32200 32800 33005 33120 33620 33810 33948 34440 35280 35301 36064 36162 36225 36900 37720 38640 38663 39200 39606 40180 40344 40572 41328 41400 42025 42435 43050 44100 45080 45264 45920 46207 46368 47068 47150 48216 48300 49200 50225 50400 50430 50715 51660 52808 53792 54096 55200 56350 56580 57400 57960 58800 58835 59040 59409 60270 60516 64288 64400 64575 66010 67240 67620 67896 68880 70560 70602 70725 72324 72450 73800 75440 75645 77280 77326 79212 80360 80688 81144 82369 82656 82800 84050 84525 84870 86100 88200 90160 90405 90528 92414 94136 94300 96432 96600 98400 99015 100450 100860 101430 103320 105616 105903 108192 112700 113160 114800 115920 115989 117600 117670 118818 120540 121032 126075 128800 129150 132020 134480 135240 135792 137760 138621 141204 141450 144648 144900 147600 150675 150880 151290 154652 158424 160720 161376 162288 164738 165025 165600 168100 169050 169740 172200 176400 176505 180320 180810 184828 188272 188600 192864 193200 193315 198030 200900 201720 202860 206640 211232 211806 212175 225400 226320 229600 231035 231840 231978 235340 237636 241080 242064 247107 252150 253575 258300 264040 268960 270480 270641 271584 277242 282408 282900 289296 289800 294175 295200 297045 301350 302580 309304 316848 321440 324576 329476 330050 336200 338100 339480 344400 347967 352800 353010 361620 369656 376544 377200 378225 386400 386630 396060 401800 403440 405720 411845 413280 415863 423612 424350 450800 452025 452640 462070 463956 470680 475272 482160 484128 494214 495075 504300 507150 516600 528080 529515 540960 541282 554484 564816 565800 578592 579600 579945 588350 594090 602700 605160 618608 633696 658952 660100 672400 676200 678960 688800 693105 695934 706020 723240 739312 741321 754400 756450 773260 792120 803600 806880 811440 811923 823690 831726 847224 848700 882525 901600 904050 924140 927912 941360 950544 964320 966575 988428 990150 1008600 1014300 1033200 1056160 1059030 1082564 1108968 1129632 1131600 1155175 1159200 1159890 1176700 1188180 1205400 1210320 1235535 1237216 1317904 1320200 1344800 1352400 1353205 1357920 1386210 1391868 1412040 1446480 1478624 1482642 1485225 1512900 1546520 1584240 1607200 1622880 1623846 1647380 1663452 1694448 1697400 1739835 1765050 1808100 1848280 1855824 1882720 1894487 1901088 1933150 1976856 1980300 2017200 2028600 2059225 2066400 2079315 2118060 2165128 2217936 2263200 2310350 2319780 2353400 2376360 2410800 2420640 2435769 2471070 2635808 2640400 2647575 2704800 2706410 2772420 2783736 2824080 2892960 2899725 2965284 2970450 3025800 3093040 3168480 3247692 3294760 3326904 3388896 3394800 3465525 3479670 3530100 3616200 3696560 3706605 3711648 3788974 3866300 3953712 3960600 4034400 4057200 4059615 4118450 4158630 4236120 4330256 4435872 4620700 4639560 4706800 4752720 4821600 4871538 4942140 5280800 5295150 5412820 5544840 5567472 5648160 5683461 5799450 5930568 5940900 6051600 6177675 6186080 6495384 6589520 6653808 6766025 6789600 6931050 6959340 7060200 7232400 7393120 7413210 7577948 7732600 7907424 7921200 8114400 8119230 8236900 8317260 8472240 8660512 8699175 9241400 9279120 9413600 9472435 9505440 9743076 9884280 10396575 10590300 10825640 11089680 11134944 11366922 11598900 11861136 11881800 12103200 12178845 12355350 12990768 13179040 13307616 13532050 13862100 13918680 14120400 14464800 14826420 15155896 15465200 15842400 16238460 16473800 16634520 16944480 17050383 17398350 18482800 18533025 18558240 18944870 19486152 19768560 20298075 20793150 21180600 21651280 22179360 22733844 23197800 23722272 23763600 24357690 24710700 25981536 27064100 27724200 27837360 28240800 28417305 29652840 30311792 30930400 32476920 32947600 33269040 34100766 34796700 36965600 37066050 37889740 38972304 39537120 40596150 41586300 42361200 43302560 45467688 46395600 47362175 47527200 48715380 49421400 54128200 55448400 55674720 56834610 59305680 60623584 60894225 64953840 65895200 66538080 68201532 69593400 74132100 75779480 77944608 81192300 83172600 84722400 85251915 90935376 92791200 94724350 97430760 98842800 108256400 110896800 113669220 118611360 121788450 129907680 136403064 139186800 142086525 148264200 151558960 162384600 166345200 170503830 181870752 189448700 194861520 197685600 216512800 227338440 243576900 272806128 278373600 284173050 296528400 303117920 324769200 332690400 341007660 378897400 389723040 426259575 454676880 487153800 545612256 568346100 593056800 649538400 682015320 757794800 852519150 909353760 974307600 1136692200 1364030640 1515589600 1705038300 1948615200 2273384400 2728061280 3410076600 4546768800 6820153200 13640306400
- Sum of all divisors σ(n): 59843497896
- Sum of proper divisors (its aliquot sum) s(n): 46203191496
- 13640306400 is an abundant number, because the sum of its proper divisors (46203191496) is greater than itself. Its abundance is 32562885096
Bases of 13640306400
- Binary: 11001011010000011010001110111000002
- Hexadecimal: 0x32D068EE0
- Base-36: 69L33S0
Squares and roots of 13640306400
- 13640306400 squared (136403064002) is 186057958685880960000
- 13640306400 cubed (136403064003) is 2537887564633957648326144000000
-
The
square root of 13640306400 is 116791.7223094171 -
The
cube root of 13640306400 is 2389.3221468931
Scales and comparisons
How big is 13640306400?- 13,640,306,400 seconds is equal to 433 years, 37 weeks, 2 days, 22 hours.
-
To count from 1 to 13,640,306,400 would take you about eight hundred sixty-seven 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 13640306400 cubic inches would be around 199.1 feet tall.
Recreational maths with 13640306400
- 13640306400 backwards is 00460304631
- The number of decimal digits it has is: 11
- The sum of 13640306400's digits is 27
- More coming soon!
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