381348801320960
381,348,801,320,960 is an even composite number composed of seven prime numbers multiplied together.
381348801320960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 381348801320960:
211 × 5 × 11 × 292 × 312 × 59 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 29 × 29 × 31 × 31 × 59 × 71)See below for interesting mathematical facts about the number 381348801320960 from the Numbermatics database.
Names of 381348801320960
- Cardinal: 381348801320960 can be written as Three hundred eighty-one trillion, three hundred forty-eight billion, eight hundred one million, three hundred twenty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 3.8134880132096 × 1014
Factors of 381348801320960
Divisors of 381348801320960
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 29 31 32 40 44 55 58 59 62 64 71 80 88 110 116 118 124 128 142 145 155 160 176 220 232 236 248 256 284 290 295 310 319 320 341 352 355 440 464 472 496 512 568 580 590 620 638 640 649 682 704 710 781 841 880 899 928 944 961 992 1024 1136 1160 1180 1240 1276 1280 1298 1364 1408 1420 1562 1595 1682 1705 1711 1760 1798 1829 1856 1888 1922 1984 2048 2059 2201 2272 2320 2360 2480 2552 2560 2596 2728 2816 2840 3124 3190 3245 3364 3410 3422 3520 3596 3658 3712 3776 3844 3905 3968 4118 4189 4205 4402 4495 4544 4640 4720 4805 4960 5104 5120 5192 5456 5632 5680 6248 6380 6490 6728 6820 6844 7040 7192 7316 7424 7552 7688 7810 7936 8236 8378 8410 8555 8804 8990 9088 9145 9251 9280 9440 9610 9889 9920 10208 10240 10295 10384 10571 10912 11005 11264 11360 12496 12760 12980 13456 13640 13688 14080 14384 14632 14848 15104 15376 15620 15872 16472 16756 16820 17110 17608 17980 18176 18290 18502 18560 18821 18880 19220 19778 19840 20119 20416 20590 20768 20945 21142 21824 22010 22528 22649 22720 24211 24992 25520 25960 26071 26912 27280 27376 27869 28160 28768 29264 29696 30208 30752 31240 31744 32944 33512 33640 34220 35216 35960 36352 36580 37004 37120 37642 37760 38440 39556 39680 40238 40832 41180 41536 41890 42284 43648 44020 45298 45440 46079 46255 48422 49445 49619 49984 51040 51920 52142 52855 53041 53824 54560 54752 55738 56320 56699 57536 58528 59392 59711 60416 61504 62480 63488 63829 65888 67024 67280 68231 68440 70432 71920 72704 73160 74008 74240 75284 75520 76880 79112 79360 80476 81664 82360 83072 83780 84568 87296 88040 90596 90880 92158 92510 94105 96844 98890 99238 99968 100595 102080 103840 104284 105710 106082 107648 109120 109504 111476 112640 113245 113398 115072 117056 119422 120832 121055 121481 123008 124960 127658 129859 130355 131776 134048 134560 136462 136880 139345 140864 143840 145408 146320 148016 148480 150568 151040 153760 158224 158720 160952 163328 164720 166144 167560 169136 174592 176080 181192 181760 184316 185020 188210 193688 197780 198476 199936 201190 204160 207680 208568 211420 212164 215296 218240 219008 222952 226490 226796 230144 230395 234112 238844 242110 242962 246016 248095 249920 255316 259718 260710 263552 265205 268096 269120 272924 273760 278690 281728 283495 286781 287680 292640 296032 296960 298555 301136 302080 306559 307520 316448 317440 319145 321904 326656 329440 332288 335120 338272 341155 349184 352160 362384 363520 368632 370040 376420 387376 395560 396952 399872 402380 408320 415360 417136 422840 424328 430592 436480 438016 445904 452980 453592 460288 460790 468224 477688 484220 485924 492032 496190 499840 510632 519436 521420 527104 530410 536192 538240 545809 545848 547520 557380 563456 566990 573562 575360 583451 585280 592064 597110 602272 604160 607405 613118 615040 623689 632896 638290 643808 649295 653312 656821 658880 664576 670240 676544 682310 698368 702119 704320 724768 727040 737264 740080 750541 752840 774752 791120 793904 799744 804760 808201 816640 830720 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354255352 355608440 359484928 361739620 365682944 367079680 373408640 381470872 384276992 387524390 392395520 393776384 399160960 407229020 413798912 414250210 420365440 420933376 427613120 435313780 436845676 442819190 449356160 450937472 457103680 459058168 466972964 471848960 473866496 476838590 480346240 482036608 492220480 506546944 508098560 515280512 517248640 524522449 526166720 541442528 543139840 546057095 558908416 563671840 568973504 573822710 578783392 580597760 583716205 587327488 592333120 597453824 602545760 611440640 620039024 621982720 627832832 631204981 633183680 638657536 644100640 651566432 653608960 662800336 664878080 672584704 676803160 684180992 696502048 698635520 698685440 708510704 711216880 718969856 723479240 731365888 734159360 746817280 762941744 768553984 775048780 784791040 787552768 798321920 814458040 827597824 828500420 840730880 841866752 855226240 870627560 873691352 885638380 898712320 901874944 914207360 918116336 933945928 947732992 953677180 960692480 964073216 984440960 1013093888 1030561024 1034497280 1049044898 1052333440 1082885056 1092114190 1117816832 1127343680 1137947008 1147645420 1157566784 1167432410 1184666240 1194907648 1201325609 1205091520 1240078048 1243965440 1262409962 1266367360 1277315072 1284175651 1288201280 1303132864 1325600672 1329756160 1345169408 1353606320 1368361984 1393004096 1397271040 1417021408 1422433760 1437939712 1446958480 1462731776 1468318720 1493634560 1525883488 1537107968 1550097560 1569582080 1575105536 1596643840 1628916080 1655195648 1657000840 1681461760 1683733504 1710452480 1741255120 1747382704 1771276760 1797424640 1803749888 1828414720 1836232672 1867891856 1895465984 1907354360 1921384960 1928146432 1968881920 2026187776 2061122048 2068994560 2098089796 2104666880 2165770112 2184228380 2254687360 2275894016 2295290840 2315133568 2334864820 2369332480 2402651218 2410183040 2480156096 2524819924 2532734720 2568351302 2576402560 2606265728 2622612245 2651201344 2707212640 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8663080448 8736913520 9018749440 9103576064 9181163360 9260534272 9339459280 9477329920 9610604872 9640732160 9920624384 10099279696 10130938880 10273405208 10305610240 10425062912 10490448980 10604805376 10828850560 11144032768 11336171264 11379470080 11575667840 12013256090 12207067904 12400780480 12624099620 12841756510 13031328640 13256006720 13542215956 13683619840 13930040960 13979061632 14170214080 14627317760 14689861376 14943134848 15258834880 15751055360 16784718368 16837335040 16927769945 17326160896 17473827040 18037498880 18207152128 18362326720 18521068544 18678918560 18954659840 19221209744 19281464320 19841248768 20198559392 20261877760 20546810416 20611220480 20850125824 20980897960 21209610752 21657701120 22288065536 22672342528 22758940160 23151335680 24026512180 24414135808 24801560960 25248199240 25683513020 26062657280 26512013440 27084431912 27860081920 27958123264 28340428160 29379722752 29886269696 30517669760 33569436736 33855539890 34652321792 34947654080 36074997760 36724653440 37042137088 37241093879 37357837120 38442419488 38562928640 39682497536 40397118784 41093620832 41222440960 41700251648 41961795920 42419221504 43315402240 44576131072 45344685056 45517880320 46302671360 48053024360 48828271616 49603121920 50496398480 51367026040 52125314560 53024026880 54168863824 55720163840 55916246528 56680856320 58759445504 59772539392 61035339520 67138873472 67711079780 69895308160 73449306880 74482187758 74715674240 76884838976 79364995072 80794237568 82187241664 83923591840 84838443008 86630804480 90689370112 91035760640 92605342720 96106048720 97656543232 99206243840 100992796960 102734052080 104250629120 106048053760 108337727648 111440327680 111832493056 113361712640 117518891008 119545078784 122070679040 134277746944 135422159560 139790616320 146898613760 148964375516 149431348480 153769677952 161588475136 164374483328 167847183680 173261608960 185210685440 186205469395 192212097440 198412487680 201985593920 205468104160 208501258240 212096107520 216675455296 222880655360 223664986112 226723425280 239090157568 244141358080 268555493888 270844319120 279581232640 293797227520 297928751032 298862696960 307539355904 323176950272 328748966656 335694367360 372410938790 384424194880 396824975360 403971187840 410936208320 424192215040 433350910592 453446850560 488282716160 537110987776 541688638240 559162465280 587594455040 595857502064 597725393920 615078711808 646353900544 657497933312 671388734720 744821877580 768848389760 807942375680 821872416640 866701821184 1074221975552 1083377276480 1118324930560 1191715004128 1195450787840 1230157423616 1292707801088 1314995866624 1342777469440 1489643755160 1537696779520 1615884751360 1643744833280 1733403642368 2166754552960 2383430008256 2460314847232 2629991733248 2685554938880 2979287510320 3075393559040 3231769502720 3287489666560 3466807284736 4333509105920 4766860016512 5371109877760 5958575020640 6150787118080 6463539005440 6574979333120 6933614569472 8667018211840 9533720033024 11917150041280 12301574236160 13149958666240 17334036423680 19067440066048 23834300082560 34668072847360 38134880132096 47668600165120 76269760264192 95337200330240 190674400660480 381348801320960
- Sum of all divisors σ(n): 1101634562246400
- Sum of proper divisors (its aliquot sum) s(n): 720285760925440
- 381348801320960 is an abundant number, because the sum of its proper divisors (720285760925440) is greater than itself. Its abundance is 338936959604480
Bases of 381348801320960
- Binary: 10101101011010101101011111101011010011000000000002
- Hexadecimal: 0x15AD5AFD69800
- Base-36: 3R6D7Y677K
Squares and roots of 381348801320960
- 381348801320960 squared (3813488013209602) is 145426908268933023440935321600
- 381348801320960 cubed (3813488013209603) is 55458377148170814516502322414312002420736000
-
The
square root of 381348801320960 is 19528154.0684458959 -
The
cube root of 381348801320960 is 72517.1613006693
Scales and comparisons
How big is 381348801320960?- 381,348,801,320,960 seconds is equal to 12,125,712 years, 15 weeks, 1 day, 13 hours, 9 minutes, 20 seconds.
-
To count from 1 to 381,348,801,320,960 would take you about thirty million, three hundred fourteen thousand, two hundred eighty 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 381348801320960 cubic inches would be around 6043.1 feet tall.
Recreational maths with 381348801320960
- 381348801320960 backwards is 069023108843183
- The number of decimal digits it has is: 15
- The sum of 381348801320960's digits is 56
- More coming soon!
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Numbermatics. (2024). Number 381348801320960 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/381348801320960/
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The information we have on file for 381348801320960 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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