13972871814720
13,972,871,814,720 is an even composite number composed of seven prime numbers multiplied together.
13972871814720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13972871814720:
26 × 3 × 5 × 72 × 132 × 17 × 103391
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 13 × 17 × 103391)See below for interesting mathematical facts about the number 13972871814720 from the Numbermatics database.
Names of 13972871814720
- Cardinal: 13972871814720 can be written as Thirteen trillion, nine hundred seventy-two billion, eight hundred seventy-one million, eight hundred fourteen thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.397287181472 × 1013
Factors of 13972871814720
Divisors of 13972871814720
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 26 28 30 32 34 35 39 40 42 48 49 51 52 56 60 64 65 68 70 78 80 84 85 91 96 98 102 104 105 112 119 120 130 136 140 147 156 160 168 169 170 182 192 195 196 204 208 210 221 224 238 240 245 255 260 272 273 280 294 312 320 336 338 340 357 364 390 392 408 416 420 442 448 455 476 480 490 507 510 520 544 546 560 588 595 624 637 663 672 676 680 714 728 735 780 784 816 832 833 840 845 884 910 952 960 980 1014 1020 1040 1088 1092 1105 1120 1176 1183 1190 1248 1274 1326 1344 1352 1360 1365 1428 1456 1470 1547 1560 1568 1632 1666 1680 1690 1768 1785 1820 1904 1911 1960 2028 2040 2080 2184 2210 2240 2352 2366 2380 2496 2499 2535 2548 2652 2704 2720 2730 2856 2873 2912 2940 3094 3120 3136 3185 3264 3315 3332 3360 3380 3536 3549 3570 3640 3808 3822 3920 4056 4080 4160 4165 4368 4420 4641 4704 4732 4760 4998 5070 5096 5304 5408 5440 5460 5712 5746 5824 5880 5915 6188 6240 6370 6630 6664 6720 6760 7072 7098 7140 7280 7616 7644 7735 7840 8112 8160 8281 8330 8619 8736 8840 9282 9408 9464 9520 9555 9996 10140 10192 10608 10816 10829 10920 11424 11492 11760 11830 12376 12480 12495 12740 13260 13328 13520 14144 14196 14280 14365 14560 15288 15470 15680 16224 16320 16562 16660 17238 17472 17680 17745 18564 18928 19040 19110 19992 20111 20280 20384 21216 21658 21840 22848 22984 23205 23520 23660 24752 24843 24990 25480 26520 26656 27040 28392 28560 28730 29120 30576 30940 32448 32487 33124 33320 34476 35360 35490 37128 37856 38080 38220 39984 40222 40560 40768 41405 42432 43095 43316 43680 45968 46410 47040 47320 49504 49686 49980 50960 53040 53312 54080 54145 56784 57120 57460 60333 61152 61880 64974 66248 66640 68952 70720 70980 74256 75712 76440 79968 80444 81120 82810 86190 86632 87360 91936 92820 94640 99008 99372 99960 100555 101920 103391 106080 108290 113568 114240 114920 120666 122304 123760 124215 129948 132496 133280 137904 140777 141960 148512 152880 159936 160888 162240 162435 165620 172380 173264 183872 185640 189280 198744 199920 201110 203840 206782 212160 216580 227136 229840 241332 247520 248430 259896 264992 266560 275808 281554 283920 297024 301665 305760 310173 321776 324870 331240 344760 346528 371280 378560 397488 399840 402220 413564 422331 433160 459680 482664 495040 496860 516955 519792 529984 551616 563108 567840 603330 611520 620346 643552 649740 662480 689520 693056 703885 723737 742560 794976 799680 804440 827128 844662 866320 919360 965328 993720 1033910 1039584 1126216 1135680 1206660 1240692 1287104 1299480 1324960 1344083 1379040 1407770 1447474 1485120 1550865 1589952 1608880 1654256 1689324 1732640 1757647 1930656 1987440 2067820 2079168 2111655 2171211 2252432 2413320 2481384 2598960 2649920 2688166 2758080 2815540 2894948 3101730 3217760 3308512 3378648 3465280 3515294 3618685 3861312 3974880 4032249 4135640 4223310 4342422 4504864 4826640 4962768 5066159 5197920 5272941 5376332 5631080 5789896 6203460 6435520 6617024 6720415 6757296 7030588 7237370 7949760 8064498 8271280 8446620 8684844 8788235 9009728 9408581 9653280 9925536 10132318 10395840 10545882 10752664 10856055 11262160 11579792 12303529 12406920 13440830 13514592 14061176 14474740 15198477 16128996 16542560 16893240 17369688 17473079 17576470 18817162 19306560 19851072 20161245 20264636 21091764 21505328 21712110 22524320 22849411 23159584 24607058 24813840 25330795 26364705 26881660 27029184 28122352 28225743 28949480 30396954 32257992 33085120 33786480 34739376 34946158 35152940 36910587 37634324 40322490 40529272 42183528 43010656 43424220 45048640 45698822 46319168 47042905 49214116 49627680 50661590 52419237 52729410 53763320 56244704 56451486 57898960 60793908 61517645 64515984 65860067 67572960 68548233 69478752 69892316 70305880 73821174 75268648 75992385 80644980 81058544 84367056 86021312 86124703 86848440 87365395 91397644 94085810 98428232 99255360 101323180 104838474 105458820 107526640 112489408 112902972 114247055 115797920 121587816 122311553 123035290 129031968 131720134 135145920 137096466 138957504 139784632 140611760 141128715 147642348 150537296 151984770 159945877 161289960 162117088 168734112 172249406 173696880 174730790 182795288 184552935 188171620 196856464 197580201 202646360 209676948 210917640 215053280 225805944 228494110 231595840 243175632 244623106 246070580 258063936 258374109 262096185 263440268 274192932 279569264 281223520 282257430 295284696 297042343 301074592 303969540 319891754 322579920 324234176 329300335 337468224 342741165 344498812 347393760 349461580 365590576 366934659 369105870 376343240 393712928 395160402 405292720 419353896 421835280 430106560 430623515 451611888 456988220 479837631 486351264 489246212 492141160 516748218 524192370 526880536 548385864 559138528 562447040 564514860 590569392 594084686 602149184 607939080 611557765 639783508 645159840 658600670 685482330 688997624 694787520 698923160 731181152 733869318 738211740 752686480 787425856 790320804 799729385 810585440 838707792 843670560 856180871 861247030 891127029 903223776 913976440 959675262 972702528 978492424 984282320 987901005 1033496436 1048384740 1053761072 1096771728 1118277056 1119621139 1129029720 1181138784 1188169372 1215878160 1223115530 1279567016 1290319680 1291870545 1317201340 1370964660 1377995248 1397846320 1462362304 1467738636 1476423480 1485211715 1505372960 1580641608 1599458770 1621170880 1677415584 1687341120 1712361742 1722494060 1782254058 1806447552 1827952880 1834673295 1919350524 1956984848 1968564640 1975802010 2066992872 2079296401 2096769480 2107522144 2193543456 2239242278 2258059440 2362277568 2376338744 2399188155 2431756320 2446231060 2559134032 2568542613 2583741090 2634402680 2741929320 2755990496 2795692640 2935477272 2952846960 2970423430 3010745920 3161283216 3198917540 3354831168 3358863417 3424723484 3444988120 3564508116 3655905760 3669346590 3838701048 3913969696 3937129280 3951604020 4133985744 4158592802 4193538960 4215044288 4280904355 4387086912 4455635145 4478484556 4516118880 4752677488 4798376310 4863512640 4892462120 5118268064 5137085226 5167482180 5268805360 5483858640 5511980992 5591385280 5598105695 5870954544 5905693920 5940846860 6237889203 6322566432 6397835080 6717726834 6849446968 6889976240 7129016232 7311811520 7338693180 7677402096 7827939392 7903208040 8267971488 8317185604 8387077920 8561808710 8911270290 8956969112 9032237760 9505354976 9596752620 9784924240 10236536128 10274170452 10334964360 10396482005 10537610720 10967717280 11196211390 11741909088 11811387840 11881693720 12475778406 12645132864 12795670160 12842713065 13435453668 13698893936 13779952480 14258032464 14555074807 14677386360 15354804192 15806416080 16535942976 16634371208 16774155840 16794317085 17123617420 17822540580 17913938224 19010709952 19193505240 19569848480 20548340904 20669928720 20792964010 21075221440 21935434560 22392422780 23483818176 23763387440 24951556812 25591340320 25685426130 26870907336 27397787872 27559904960 28516064928 29110149614 29354772720 30709608384 31189446015 31612832160 33268742416 33588634170 34247234840 35645081160 35827876448 38387010480 39139696960 41096681808 41339857440 41585928020 43665224421 44784845560 47526774880 49903113624 51182680640 51370852260 53741814672 54795575744 57032129856 58220299228 58709545440 62378892030 63225664320 66537484832 67177268340 68494469680 71290162320 71655752896 72775374035 76774020960 82193363616 82679714880 83171856040 87330448842 89569691120 95053549760 99806227248 102741704520 107483629344 116440598456 117419090880 124757784060 133074969664 134354536680 136988939360 142580324640 145550748070 153548041920 164386727232 166343712080 174660897684 179139382240 199612454496 205483409040 214967258688 218326122105 232881196912 249515568120 268709073360 273977878720 285160649280 291101496140 332687424160 349321795368 358278764480 399224908992 410966818080 436652244210 465762393824 499031136240 537418146720 582202992280 665374848320 698643590736 821933636160 873304488420 931524787648 998062272480 1074836293440 1164405984560 1397287181472 1746608976840 1996124544960 2328811969120 2794574362944 3493217953680 4657623938240 6986435907360 13972871814720
- Sum of all divisors σ(n): 59169833814528
- Sum of proper divisors (its aliquot sum) s(n): 45196961999808
- 13972871814720 is an abundant number, because the sum of its proper divisors (45196961999808) is greater than itself. Its abundance is 31224090185088
Bases of 13972871814720
- Binary: 110010110101010100000000111110011110010000002
- Hexadecimal: 0xCB5500F9E40
- Base-36: 4YB1R3Y2O
Squares and roots of 13972871814720
- 13972871814720 squared (139728718147202) is 195241146750596586008678400
- 13972871814720 cubed (139728718147203) is 2728079516505022349985718716676866048000
-
The
square root of 13972871814720 is 3738030.4726847801 -
The
cube root of 13972871814720 is 24085.8452458579
Scales and comparisons
How big is 13972871814720?- 13,972,871,814,720 seconds is equal to 444,294 years, 5 weeks, 2 days, 9 hours, 52 minutes.
-
To count from 1 to 13,972,871,814,720 would take you about one million, one hundred ten thousand, seven hundred thirty-five 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 13972871814720 cubic inches would be around 2007.2 feet tall.
Recreational maths with 13972871814720
- 13972871814720 backwards is 02741817827931
- 13972871814720 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13972871814720's digits is 60
- More coming soon!
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The information we have on file for 13972871814720 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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