72800468313664
72,800,468,313,664 is an even composite number composed of seven prime numbers multiplied together.
What does the number 72800468313664 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
72800468313664 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 72800468313664:
26 × 72 × 132 × 19 × 23 × 61 × 5153
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 19 × 23 × 61 × 5153)See below for interesting mathematical facts about the number 72800468313664 from the Numbermatics database.
Names of 72800468313664
- Cardinal: 72800468313664 can be written as Seventy-two trillion, eight hundred billion, four hundred sixty-eight million, three hundred thirteen thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 7.2800468313664 × 1013
Factors of 72800468313664
Divisors of 72800468313664
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 4 7 8 13 14 16 19 23 26 28 32 38 46 49 52 56 61 64 76 91 92 98 104 112 122 133 152 161 169 182 184 196 208 224 244 247 266 299 304 322 338 364 368 392 416 427 437 448 488 494 532 598 608 637 644 676 728 736 784 793 832 854 874 931 976 988 1064 1127 1159 1183 1196 1216 1274 1288 1352 1403 1456 1472 1568 1586 1708 1729 1748 1862 1952 1976 2093 2128 2254 2318 2366 2392 2548 2576 2704 2806 2912 2989 3059 3136 3172 3211 3416 3458 3496 3724 3887 3904 3952 4186 4256 4508 4636 4732 4784 5096 5152 5153 5408 5551 5612 5681 5824 5978 6118 6344 6422 6832 6916 6992 7448 7774 7904 8113 8281 8372 8512 9016 9272 9464 9568 9821 10192 10304 10306 10309 10816 11102 11224 11362 11956 12103 12236 12688 12844 13664 13832 13984 14651 14896 15067 15548 15808 16226 16562 16744 18032 18239 18544 18928 19136 19642 20384 20612 20618 21413 22204 22448 22477 22724 23912 24206 24472 25376 25688 26657 27209 27328 27664 27968 29302 29792 30134 31096 32452 33124 33488 36064 36071 36478 37088 37856 38857 39284 39767 40768 41224 41236 42826 44408 44896 44954 45448 47824 48412 48944 50752 51376 53314 54418 55328 56791 58604 59584 60268 62192 64904 66248 66976 66989 68747 72128 72142 72163 72956 73853 74176 75712 77714 78568 79534 82448 82472 85652 88816 89792 89908 90896 95648 96824 97888 97907 102752 105469 106628 108836 110656 113582 117208 118519 120536 124384 127673 129808 132496 133952 133978 137494 144284 144326 145912 147706 155428 157136 157339 159068 164896 164944 171304 177632 179816 181792 186599 190463 191296 193648 195776 195814 195871 205504 210938 213256 217672 227164 234416 237038 237107 241072 248768 252497 255346 259616 264992 267956 274988 278369 288568 288652 291824 295412 310856 314272 314333 314678 318136 329792 329888 342608 346541 355264 359632 363584 373198 380926 387296 391628 391742 421876 426512 435344 454328 468832 468923 474076 474214 482144 504994 505141 510692 516971 519232 529984 535912 549976 556738 577136 577304 583648 590824 621712 628544 628666 629356 636272 659776 685216 685349 693082 719264 738283 746396 761852 774592 783256 783484 829633 843752 853024 870688 870857 893711 908656 937664 937846 948152 948428 964288 1009988 1010282 1021384 1033942 1071824 1099952 1113476 1154272 1154608 1167296 1181648 1243424 1257332 1258712 1272544 1272791 1306193 1370432 1370698 1371097 1386164 1438528 1476566 1492792 1523704 1540747 1566512 1566968 1659266 1659749 1687504 1706048 1741376 1741714 1787422 1817312 1875692 1896304 1896856 2019976 2020564 2042768 2067884 2143648 2199904 2200331 2226952 2251861 2308544 2309216 2363296 2425787 2486848 2514664 2517424 2545088 2545582 2612386 2741396 2742194 2772328 2953132 2985584 3047408 3081494 3133024 3133936 3282461 3318532 3319498 3375008 3483428 3574844 3618797 3634624 3751384 3792608 3793712 4039952 4041128 4085536 4086329 4135768 4287296 4399808 4400662 4453904 4503722 4505033 4618432 4726592 4797443 4851574 5029328 5034848 5091164 5224772 5482792 5484388 5544656 5807431 5906264 5971168 5972327 6094816 6095999 6162988 6266048 6267872 6564922 6637064 6638996 6750016 6966856 7149688 7229659 7237594 7502768 7585216 7587424 8079904 8082256 8171072 8172658 8271536 8801324 8907808 8909537 9007444 9010066 9594886 9597679 9703148 10058656 10069696 10182328 10449544 10785229 10965584 10968776 11089312 11614862 11618243 11812528 11942336 11944654 12189632 12191998 12325976 12535744 13129844 13274128 13277992 13933712 14299376 14459318 14475188 15005536 15174848 15402317 15763027 16159808 16164512 16345316 16543072 16546283 16980509 17602648 17815616 17819074 18014888 18020132 19189772 19195358 19406296 20029711 20117312 20364656 20899088 21570458 21931168 21937552 22178624 23229724 23236486 23625056 23889308 24383996 24651952 26259688 26548256 26555984 27867424 28598752 28604303 28918636 28950376 29274193 30011072 30804634 31526054 31535231 32329024 32690632 33086144 33092566 33961018 35205296 35638148 36029776 36040264 38379544 38390716 38812592 40059422 40729312 41798176 41806289 42671993 43140916 43862336 43875104 46459448 46472972 47250112 47778616 48767992 49303904 50607613 52519376 53096512 53111968 53122277 55734848 57197504 57208606 57837272 57900752 58548386 61609268 62366759 63052108 63070462 65381264 66185132 67922036 70410592 71276296 72059552 72080528 75496603 76759088 76781432 77625184 77640251 80118844 81458624 83596352 83612578 85343986 86281832 87750208 92918896 92945944 93985567 95557232 97535984 98607808 101215226 105038752 106223936 106244554 110341189 114417212 115674544 115801504 115823981 117096772 123218536 124733518 126104216 126140924 130762528 132370264 135844072 137363521 140207977 140821184 142552592 144119104 144161056 150993206 153518176 153562864 155250368 155280502 160237688 167225156 170687972 172563664 185837792 185891888 187971134 191114464 195071968 200230121 202430452 204919351 210077504 212489108 220682378 220746617 228834424 231349088 231603008 231647962 234193544 246437072 249467036 252208432 252281848 261525056 264740528 271688144 274727042 280415954 285105184 288322112 292644023 301986412 307036352 307125728 310561004 320475376 334450312 341375944 345127328 354253291 371675584 371783776 371855939 375942268 380564509 382228928 390143936 400460242 404860904 409838702 424978216 441364756 441493234 457668848 462698176 463295924 468387088 492874144 498934072 504416864 504563696 529481056 543376288 543481757 549454084 560831908 570210368 585288046 603972824 614251456 621122008 640950752 657898969 668900624 682751888 690254656 708506582 743567552 743711878 751884536 761129018 800920484 809721808 810767867 819677404 849956432 882729512 882986468 915337696 926591848 936774176 961544647 981455839 985748288 997868144 1008833728 1009127392 1009323263 1058962112 1086752576 1086963514 1098908168 1121663816 1170576092 1207945648 1221812371 1242244016 1281901504 1315797938 1337801248 1365503776 1417013164 1434435457 1487423756 1503769072 1522258036 1601840968 1619443616 1621535734 1639354808 1699912864 1765459024 1765972936 1785725773 1830675392 1853183696 1873548352 1923089294 1962911678 1995736288 2018254784 2018646526 2173927028 2197816336 2243327632 2341152184 2415891296 2443624742 2484488032 2602991573 2631595876 2663951563 2675602496 2731007552 2834026328 2868870914 2974847512 3007538144 3044516072 3203681936 3238887232 3243071468 3278709616 3399825728 3530918048 3531945872 3571451546 3706367392 3804372299 3846178588 3925823356 3991472576 4037293052 4347854056 4395632672 4486655264 4605292783 4682304368 4831782592 4887249484 4968976064 5205983146 5263191752 5327903126 5668052656 5737741828 5949695024 6015076288 6089032144 6407363872 6486142936 6557419232 6730812529 7061836096 7063891744 7065262841 7142903092 7412734784 7608744598 7692357176 7851646712 8074586104 8552686597 8695708112 8791265344 8973310528 9210585566 9364608736 9774498968 10411966292 10526383504 10655806252 11336105312 11475483656 11899390048 12178064288 12500080411 12814727744 12972285872 13114838464 13461625058 14127783488 14130525682 14285806184 15217489196 15384714352 15703293424 16149172208 17105373194 17391416224 18421171132 18647660941 18729217472 19548997936 20823932584 21052767008 21311612504 22672210624 22950967312 23214435049 23798780096 24356128576 25000160822 25944571744 26923250116 28261051364 28571612368 30434978392 30769428704 31406586848 32298344416 34210746388 34782832448 36842342264 37295321882 39097995872 41647865168 42105534016 42623225008 45901934624 46428870098 49456839887 50000321644 51889143488 53846500232 56522102728 57143224736 59868806179 60869956784 61538857408 62813173696 64596688832 68421492776 73684684528 74590643764 78195991744 83295730336 85246450016 87500562877 91803869248 92857740196 98913679774 100000643288 107693000464 113044205456 114286449472 119737612358 121739913568 136842985552 147369369056 149181287528 162501045343 166591460672 170492900032 175001125754 185715480392 197827359548 200001286576 215386000928 226088410912 239475224716 243479827136 273685971104 294738738112 298362575056 325002090686 350002251508 371430960784 395654719096 400002573152 430772001856 452176821824 478950449432 547371942208 596725150112 650004181372 700004503016 742861921568 791309438192 800005146304 957900898864 1137507317401 1193450300224 1300008362744 1400009006032 1485723843136 1582618876384 1915801797728 2275014634802 2600016725488 2800018012064 3165237752768 3831603595456 4550029269604 5200033450976 5600036024128 9100058539208 10400066901952 18200117078416 36400234156832 72800468313664
- Sum of all divisors σ(n): 203192188260480
- Sum of proper divisors (its aliquot sum) s(n): 130391719946816
- 72800468313664 is an abundant number, because the sum of its proper divisors (130391719946816) is greater than itself. Its abundance is 57591251633152
Bases of 72800468313664
- Binary: 100001000110110001011100000110110100110010000002
- Hexadecimal: 0x42362E0DA640
- Base-36: PT02N6JB4
Squares and roots of 72800468313664
- 72800468313664 squared (728004683136642) is 5299908186688796087889104896
- 72800468313664 cubed (728004683136643) is 385835798010366127024450504641539526098944
-
The
square root of 72800468313664 is 8532319.0466404853 -
The
cube root of 72800468313664 is 41755.2791084517
Scales and comparisons
How big is 72800468313664?- 72,800,468,313,664 seconds is equal to 2,314,829 years, 36 weeks, 4 days, 21 hours, 21 minutes, 4 seconds.
-
To count from 1 to 72,800,468,313,664 would take you about five million, seven hundred eighty-seven thousand and seventy-four 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 72800468313664 cubic inches would be around 3479.6 feet tall.
Recreational maths with 72800468313664
- 72800468313664 backwards is 46631386400827
- The number of decimal digits it has is: 14
- The sum of 72800468313664's digits is 58
- More coming soon!
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The information we have on file for 72800468313664 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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