40484738921984
40,484,738,921,984 is an even composite number composed of seven prime numbers multiplied together.
40484738921984 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 40484738921984:
29 × 7 × 19 × 31 × 47 × 53 × 7699
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 19 × 31 × 47 × 53 × 7699)See below for interesting mathematical facts about the number 40484738921984 from the Numbermatics database.
Names of 40484738921984
- Cardinal: 40484738921984 can be written as Forty trillion, four hundred eighty-four billion, seven hundred thirty-eight million, nine hundred twenty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 4.0484738921984 × 1013
Factors of 40484738921984
Divisors of 40484738921984
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 31 32 38 47 53 56 62 64 76 94 106 112 124 128 133 152 188 212 217 224 248 256 266 304 329 371 376 424 434 448 496 512 532 589 608 658 742 752 848 868 893 896 992 1007 1064 1178 1216 1316 1457 1484 1504 1643 1696 1736 1786 1792 1984 2014 2128 2356 2432 2491 2632 2914 2968 3008 3286 3392 3472 3572 3584 3968 4028 4123 4256 4712 4864 4982 5264 5828 5936 6016 6251 6572 6784 6944 7049 7144 7699 7936 8056 8246 8512 9424 9728 9964 10199 10528 11501 11656 11872 12032 12502 13144 13568 13888 14098 14288 15398 15872 16112 16492 17024 17437 18848 19928 20398 21056 23002 23312 23744 24064 25004 26288 27136 27683 27776 28196 28576 30796 31217 32224 32984 34048 34874 37696 39856 40796 42112 46004 46624 47329 47488 50008 52576 53893 55366 55552 56392 57152 61592 62434 64448 65968 68096 69748 75392 77221 79712 81592 84224 92008 93248 94658 94976 100016 105152 107786 110732 111104 112784 114304 123184 124868 128896 131936 139496 146281 150784 154442 159424 163184 168448 184016 186496 189316 189952 193781 200032 210304 215572 218519 221464 225568 228608 238669 246368 249736 257792 263872 278992 292562 301568 308884 318848 326368 331303 361853 368032 372992 378632 387562 400064 408047 420608 431144 437038 442928 451136 457216 477338 492736 499472 515584 527744 540547 557984 585124 617768 637696 652736 662606 723706 736064 745984 757264 775124 800128 816094 841216 862288 874076 885856 902272 954676 985472 998944 1023967 1055488 1081094 1115968 1170248 1235536 1275392 1305472 1325212 1447412 1467199 1472128 1514528 1550248 1600256 1632188 1670683 1724576 1748152 1771712 1804544 1909352 1970944 1997888 2047934 2110976 2162188 2231936 2340496 2471072 2532971 2610944 2650424 2856329 2894824 2934398 2944256 3029056 3100496 3200512 3264376 3341366 3449152 3496304 3543424 3609088 3818704 3941888 3995776 4095868 4324376 4463872 4534711 4680992 4942144 5065942 5221888 5300848 5712658 5789648 5868796 5888512 6058112 6200992 6528752 6682732 6875207 6898304 6992608 7086848 7637408 7752893 7991552 8191736 8648752 8927744 9069422 9361984 9884288 10131884 10270393 10601696 11217443 11425316 11579296 11737592 12116224 12401984 12649457 13057504 13365464 13750414 13796608 13985216 14173696 15274816 15505786 15983104 16383472 17297504 18138844 18723968 19178209 19768576 20263768 20540786 21203392 22434886 22850632 23158592 23475184 24232448 24803968 25298914 26115008 26730928 27500828 27593216 27970432 30549632 31011572 31742977 32766944 34595008 36277688 37447936 38356418 39537152 40527536 41081572 42406784 44869772 45701264 46317184 46950368 48126449 49607936 50597828 52230016 53461856 54270251 55001656 55940864 61099264 62023144 63485954 65533888 69190016 72555376 74895872 76712836 78522101 81055072 82163144 84813568 88546199 89739544 91402528 92634368 93900736 96252898 99215872 101195656 104460032 106923712 108540502 110003312 111881728 122198528 124046288 126971908 131067776 134247463 138380032 145110752 153425672 157044202 162110144 164326288 169627136 177092398 179479088 182805056 185268736 187801472 192505796 202391312 208920064 213131417 213847424 217081004 220006624 240339683 248092576 253943816 262135552 268494926 276760064 290221504 306851344 314088404 324220288 328652576 354184796 358958176 364385971 365610112 375602944 385011592 404782624 426262834 427694848 434162008 440013248 480679366 496185152 507887632 524271104 536989852 580443008 594524479 613702688 628176808 648440576 657305152 708369592 717916352 728771942 731220224 751205888 770023184 809565248 852525668 855389696 868324016 880026496 961358732 992370304 1015775264 1073979704 1160886016 1189048958 1227405376 1256353616 1296881152 1314610304 1416739184 1435832704 1457543884 1462440448 1491919919 1540046368 1619130496 1682377781 1705051336 1736648032 1760052992 1922717464 1984740608 2031550528 2147959408 2321772032 2378097916 2454810752 2512707232 2550701797 2629220608 2833478368 2871665408 2915087768 2983839838 3080092736 3238260992 3364755562 3410102672 3473296064 3520105984 3845434928 3969481216 4063101056 4161671353 4295918816 4756195832 4909621504 5025414464 5101403594 5258441216 5666956736 5743330816 5830175536 5967679676 6160185472 6476521984 6729511124 6820205344 6946592128 7690869856 8126202112 8323342706 8591837632 9512391664 9819243008 10050828928 10202807188 11295965101 11333913472 11660351072 11935359352 12320370944 13459022248 13640410688 13893184256 15381739712 16252404224 16646685412 17183675264 19024783328 20101657856 20405614376 22591930202 22667826944 23320702144 23870718704 24640741888 26918044496 27280821376 27786368512 30763479424 33293370824 34367350528 38049566656 40203315712 40811228752 45183860404 45335653888 46641404288 47741437408 53836088992 54561642752 61526958848 66586741648 68734701056 76099133312 79071755707 81622457504 90367720808 93282808576 95482874816 107672177984 109123285504 123053917696 133173483296 152198266624 158143511414 163244915008 180735441616 186565617152 190965749632 215344355968 266346966592 304396533248 316287022828 326489830016 361470883232 381931499264 430688711936 532693933184 632574045656 652979660032 722941766464 763862998528 861377423872 1065387866368 1265148091312 1305959320064 1445883532928 2130775732736 2530296182624 2891767065856 5060592365248 5783534131712 10121184730496 20242369460992 40484738921984
- Sum of all divisors σ(n): 104537309184000
- Sum of proper divisors (its aliquot sum) s(n): 64052570262016
- 40484738921984 is an abundant number, because the sum of its proper divisors (64052570262016) is greater than itself. Its abundance is 23567831340032
Bases of 40484738921984
- Binary: 10010011010010000101100111101101110110000000002
- Hexadecimal: 0x24D2167B7600
- Base-36: ECMFK9OU8
Squares and roots of 40484738921984
- 40484738921984 squared (404847389219842) is 1639014085581206210438496256
- 40484738921984 cubed (404847389219843) is 66355057344209473834078212763067460091904
-
The
square root of 40484738921984 is 6362761.8941764591 -
The
cube root of 40484738921984 is 34337.1132597859
Scales and comparisons
How big is 40484738921984?- 40,484,738,921,984 seconds is equal to 1,287,289 years, 24 weeks, 3 days, 3 hours, 39 minutes, 44 seconds.
-
To count from 1 to 40,484,738,921,984 would take you about three million, two hundred eighteen thousand, two hundred twenty-three 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 40484738921984 cubic inches would be around 2861.4 feet tall.
Recreational maths with 40484738921984
- 40484738921984 backwards is 48912983748404
- The number of decimal digits it has is: 14
- The sum of 40484738921984's digits is 71
- More coming soon!
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