3438901970944
3,438,901,970,944 is an even composite number composed of seven prime numbers multiplied together.
3438901970944 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 3438901970944:
211 × 11 × 17 × 19 × 37 × 53 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 17 × 19 × 37 × 53 × 241)See below for interesting mathematical facts about the number 3438901970944 from the Numbermatics database.
Names of 3438901970944
- Cardinal: 3438901970944 can be written as Three trillion, four hundred thirty-eight billion, nine hundred one million, nine hundred seventy thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 3.438901970944 × 1012
Factors of 3438901970944
Divisors of 3438901970944
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 8 11 16 17 19 22 32 34 37 38 44 53 64 68 74 76 88 106 128 136 148 152 176 187 209 212 241 256 272 296 304 323 352 374 407 418 424 482 512 544 583 592 608 629 646 703 704 748 814 836 848 901 964 1007 1024 1088 1166 1184 1216 1258 1292 1406 1408 1496 1628 1672 1696 1802 1928 1961 2014 2048 2176 2332 2368 2432 2516 2584 2651 2812 2816 2992 3256 3344 3392 3553 3604 3856 3922 4028 4097 4352 4579 4664 4736 4864 5032 5168 5302 5624 5632 5984 6512 6688 6784 6919 7106 7208 7712 7733 7844 8056 8194 8704 8917 9158 9328 9472 9728 9911 10064 10336 10604 11077 11248 11264 11951 11968 12773 13024 13376 13568 13838 14212 14416 15424 15466 15688 16112 16388 17119 17408 17834 18316 18656 18944 19456 19822 20128 20672 21208 21571 22154 22496 22528 23902 23936 25546 26048 26752 27136 27676 28424 28832 30848 30932 31376 32224 32776 33337 34238 34816 35668 36632 37259 37312 37888 38912 39644 40256 41344 42416 43142 44308 44992 45067 47804 47872 50369 51092 52096 53504 54272 55352 56848 57664 61696 61864 62752 64448 65552 66674 68476 71336 73264 74518 74624 75776 77843 79288 80512 82688 84832 86284 88616 89984 90134 95608 95744 98087 100738 102184 104192 107008 108544 110704 113696 115328 123392 123728 125504 128896 131104 131461 133348 136952 140503 142672 146528 149036 149248 151589 155686 158576 161024 165376 169423 169664 172568 177232 179968 180268 188309 191216 191488 196174 201476 204368 208384 214016 217141 221408 227392 230656 242687 246784 247456 251008 257792 262208 262922 266696 273904 281006 285344 293056 298072 298496 303178 311372 317152 322048 330752 338846 339328 345136 354464 359936 360536 366707 376618 382432 382976 392348 402952 408736 409849 416768 428032 434282 442816 454784 461312 472601 485374 493568 494912 502016 515584 524416 525844 533392 547808 562012 570688 586112 596144 596992 606356 622744 633403 634304 644096 661504 677692 678656 690272 708928 719872 721072 733414 753236 764864 784696 805904 817472 819698 833536 856273 868564 885632 909568 922624 945202 970748 989824 1004032 1031168 1048832 1051688 1066784 1095616 1124024 1141376 1172224 1192288 1193984 1212712 1245488 1266806 1268608 1288192 1355384 1357312 1380544 1417856 1439744 1442144 1466828 1506472 1529728 1569392 1611808 1634944 1639396 1667479 1712546 1737128 1771264 1819136 1845248 1863653 1890404 1941496 1979648 2008064 2062336 2097664 2103376 2133568 2191232 2248048 2282752 2344448 2384576 2388551 2425424 2490976 2533612 2537216 2669557 2710768 2714624 2761088 2835712 2880191 2884288 2933656 3012944 3059456 3138784 3223616 3269888 3278792 3334958 3425092 3474256 3542528 3638272 3727306 3780808 3882992 3959296 4016128 4125679 4195328 4206752 4267136 4382464 4496096 4565504 4688896 4769152 4777102 4850848 4981952 5067224 5074432 5198611 5339114 5421536 5429248 5522176 5671424 5760382 5768576 5867312 6025888 6118912 6277568 6447232 6539776 6557584 6669916 6850184 6948512 6967433 7085056 7276544 7454612 7561616 7765984 7918592 8034217 8251358 8390656 8413504 8534272 8764928 8979419 8992192 9131008 9377792 9538304 9554204 9701696 9963904 10134448 10148864 10397222 10678228 10843072 11044352 11342848 11520764 11537152 11734624 12051776 12237824 12555136 12894464 13079552 13115168 13339832 13700368 13897024 13934866 14170112 14909224 15123232 15531968 15837184 16068434 16502716 16827008 17068544 17529856 17958838 17984384 18262016 19076608 19108408 19403392 19927808 20268896 20297728 20794444 21356456 21686144 22088704 22685696 23041528 23074304 23469248 24103552 24475648 25110272 25788928 26159104 26230336 26679664 27400736 27794048 27869732 29818448 30246464 31063936 31682101 32136868 33005432 33654016 34137088 35059712 35917676 35968768 38153216 38216816 38806784 39855616 40537792 41588888 42712912 43372288 44177408 45382469 46083056 46148608 46938496 48207104 50220544 51577856 52460672 53359328 54801472 55588096 55739464 59636896 60492928 62127872 63364202 64273736 66010864 67308032 68274176 71835352 71937536 76306432 76433632 77613568 79711232 81075584 83177776 85425824 86744576 88376387 90764938 92166112 92297216 93876992 96414208 98773609 100441088 103155712 104921344 106718656 109602944 111176192 111478928 119273792 120985856 124255744 126728404 128547472 132021728 134616064 143670704 143875072 152650123 152867264 155227136 159422464 162151168 166355552 170851648 173489152 176752774 181529876 184332224 187753984 192828416 197547218 200882176 209842688 213437312 219205888 222352384 222957856 238547584 241971712 248511488 253456808 257094944 264043456 269232128 287341408 287750144 305300246 305734528 310454272 324302336 332711104 341703296 346978304 353505548 363059752 368664448 375507968 385656832 395094436 419685376 426874624 438411776 444704768 445915712 477095168 483943424 497022976 506913616 514189888 528086912 574682816 610600492 611469056 648604672 665422208 683406592 707011096 726119504 737328896 751015936 790188872 839370752 853749248 876823552 891831424 954190336 967886848 1013827232 1028379776 1056173824 1149365632 1221200984 1222938112 1297209344 1330844416 1366813184 1414022192 1452239008 1474657792 1580377744 1679151353 1707498496 1753647104 1783662848 1908380672 2027654464 2056759552 2112347648 2298731264 2442401968 2445876224 2661688832 2733626368 2828044384 2904478016 2949315584 3160755488 3358302706 3414996992 3567325696 3816761344 4055308928 4113519104 4224695296 4597462528 4884803936 4891752448 5323377664 5467252736 5656088768 5808956032 5898631168 6321510976 6716605412 7134651392 8110617856 8227038208 8449390592 9194925056 9769607872 10646755328 11312177536 11617912064 12643021952 13433210824 14269302784 16221235712 16454076416 18389850112 19539215744 22624355072 23235824128 25286043904 26866421648 32442471424 39078431488 45248710144 46471648256 50572087808 53732843296 64884942848 78156862976 90497420288 92943296512 101144175616 107465686592 156313725952 180994840576 202288351232 214931373184 312627451904 429862746368 859725492736 1719450985472 3438901970944
- Sum of all divisors σ(n): 8784769593600
- Sum of proper divisors (its aliquot sum) s(n): 5345867622656
- 3438901970944 is an abundant number, because the sum of its proper divisors (5345867622656) is greater than itself. Its abundance is 1906965651712
Bases of 3438901970944
- Binary: 1100100000101011101000011111001000000000002
- Hexadecimal: 0x320AE87C800
- Base-36: 17VT5FZ0G
Squares and roots of 3438901970944
- 3438901970944 squared (34389019709442) is 11826046765762527820251136
- 3438901970944 cubed (34389019709443) is 40668615531256673620121263747454992384
-
The
square root of 3438901970944 is 1854427.6666788597 -
The
cube root of 3438901970944 is 15094.0783045191
Scales and comparisons
How big is 3438901970944?- 3,438,901,970,944 seconds is equal to 109,346 years, 23 weeks, 1 day, 3 hours, 29 minutes, 4 seconds.
-
To count from 1 to 3,438,901,970,944 would take you about two hundred seventy-three thousand, three hundred sixty-six 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 3438901970944 cubic inches would be around 1257.8 feet tall.
Recreational maths with 3438901970944
- 3438901970944 backwards is 4490791098343
- The number of decimal digits it has is: 13
- The sum of 3438901970944's digits is 61
- More coming soon!
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