6401131415840448
6,401,131,415,840,448 is an even composite number composed of four prime numbers multiplied together.
What does the number 6401131415840448 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 630 divisors.
6401131415840448 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred thirty divisors.
Prime factorization of 6401131415840448:
26 × 35 × 74 × 130932
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 13093 × 13093)See below for interesting mathematical facts about the number 6401131415840448 from the Numbermatics database.
Names of 6401131415840448
- Cardinal: 6401131415840448 can be written as Six quadrillion, four hundred one trillion, one hundred thirty-one billion, four hundred fifteen million, eight hundred forty thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 6.401131415840448 × 1015
Factors of 6401131415840448
Divisors of 6401131415840448
- Number of divisors d(n): 630
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 144 147 162 168 189 192 196 216 224 243 252 288 294 324 336 343 378 392 432 441 448 486 504 567 576 588 648 672 686 756 784 864 882 972 1008 1029 1134 1176 1296 1323 1344 1372 1512 1568 1701 1728 1764 1944 2016 2058 2268 2352 2401 2592 2646 2744 3024 3087 3136 3402 3528 3888 3969 4032 4116 4536 4704 4802 5184 5292 5488 6048 6174 6804 7056 7203 7776 7938 8232 9072 9261 9408 9604 10584 10976 11907 12096 12348 13093 13608 14112 14406 15552 15876 16464 18144 18522 19208 21168 21609 21952 23814 24696 26186 27216 27783 28224 28812 31752 32928 36288 37044 38416 39279 42336 43218 47628 49392 52372 54432 55566 57624 63504 64827 65856 74088 76832 78558 83349 84672 86436 91651 95256 98784 104744 108864 111132 115248 117837 127008 129654 148176 153664 157116 166698 172872 183302 190512 194481 197568 209488 222264 230496 235674 254016 259308 274953 296352 314232 333396 345744 353511 366604 381024 388962 418976 444528 460992 471348 518616 549906 583443 592704 628464 641557 666792 691488 707022 733208 762048 777924 824859 837952 889056 942696 1037232 1060533 1099812 1166886 1256928 1283114 1333584 1382976 1414044 1466416 1555848 1649718 1778112 1885392 1924671 2074464 2121066 2199624 2333772 2474577 2513856 2566228 2667168 2828088 2932832 3111696 3181599 3299436 3770784 3849342 4148928 4242132 4399248 4490899 4667544 4949154 5132456 5334336 5656176 5774013 5865664 6223392 6363198 6598872 7423731 7541568 7698684 8484264 8798496 8981798 9335088 9898308 10264912 11312352 11548026 12446784 12726396 13197744 13472697 14847462 15397368 16968528 17322039 17596992 17963596 18670176 19796616 20529824 22271193 22624704 23096052 25452792 26395488 26945394 29694924 30794736 31436293 33937056 34644078 35927192 37340352 39593232 40418091 41059648 44542386 46192104 50905584 51966117 52790976 53890788 59389848 61589472 62872586 67874112 69288156 71854384 79186464 80836182 89084772 92384208 94308879 101811168 103932234 107781576 118779696 121254273 123178944 125745172 138576312 143708768 155898351 158372928 161672364 171426649 178169544 184768416 188617758 203622336 207864468 215563152 237559392 242508546 251490344 277152624 282926637 287417536 311796702 323344728 342853298 356339088 363762819 369536832 377235516 415728936 431126304 475118784 485017092 502980688 514279947 554305248 565853274 623593404 646689456 685706596 712678176 727525638 754471032 831457872 848779911 862252608 970034184 1005961376 1028559894 1091288457 1108610496 1131706548 1199986543 1247186808 1293378912 1371413192 1425356352 1455051276 1508942064 1542839841 1662915744 1697559822 1940068368 2011922752 2057119788 2182576914 2263413096 2399973086 2494373616 2546339733 2586757824 2742826384 2910102552 3017884128 3085679682 3325831488 3395119644 3599959629 3880136736 4114239576 4365153828 4526826192 4628519523 4799946172 4988747232 5092679466 5485652768 5820205104 6035768256 6171359364 6790239288 7199919258 7639019199 7760273472 8228479152 8399905801 8730307656 9053652384 9257039046 9599892344 9977494464 10185358932 10799878887 10971305536 11640410208 12342718728 13580478576 13885558569 14399838516 15278038398 16456958304 16799811602 17460615312 18107304768 18514078092 19199784688 20370717864 21599757774 23280820416 24685437456 25199717403 27160957152 27771117138 28799677032 30556076796 32399636661 32913916608 33599623204 34921230624 37028156184 38399569376 40741435728 41656675707 43199515548 49370874912 50399434806 54321914304 55542234276 57599354064 58799340607 61112153592 64799273322 67199246408 69842461248 74056312368 75599152209 76799138752 81482871456 83313351414 86399031096 97198909983 98741749824 100798869612 111084468552 115198708128 117598681214 122224307184 129598546644 134398492816 148112624736 151198304418 162965742912 166626702828 172798062192 176398021821 194397819966 201597739224 222168937104 226797456627 230397416256 235197362428 244448614368 259197093288 268796985632 291596729949 296225249472 302396608836 333253405656 345596124384 352796043642 388795639932 403195478448 411595384249 444337874208 453594913254 470394724856 488897228736 518394186576 529194065463 537593971264 583193459898 604793217672 666506811312 680392369881 691192248768 705592087284 777591279864 806390956896 823190768498 888675748416 907189826508 940789449712 1036788373152 1058388130926 1166386919796 1209586435344 1234786152747 1333013622624 1360784739762 1411184174568 1555182559728 1587582196389 1612781913792 1646381536996 1814379653016 1881578899424 2041177109643 2073576746304 2116776261852 2332773839592 2419172870688 2469572305494 2666027245248 2721569479524 2822368349136 3110365119456 3175164392778 3292763073992 3628759306032 3704358458241 3763157798848 4082354219286 4233552523704 4665547679184 4762746589167 4838345741376 4939144610988 5443138959048 5644736698272 6220730238912 6350328785556 6585526147984 7257518612064 7408716916482 8164708438572 8467105047408 9331095358368 9525493178334 9878289221976 10886277918096 11113075374723 11289473396544 12700657571112 13171052295968 14288239767501 14515037224128 14817433832964 16329416877144 16934210094816 18662190716736 19050986356668 19756578443952 21772555836192 22226150749446 25401315142224 26342104591936 28576479535002 29634867665928 32658833754288 33339226124169 33868420189632 38101972713336 39513156887904 43545111672384 44452301498892 50802630284448 57152959070004 59269735331856 65317667508576 66678452248338 76203945426672 79026313775808 88904602997784 100017678372507 101605260568896 114305918140008 118539470663712 130635335017152 133356904496676 152407890853344 177809205995568 200035356745014 228611836280016 237078941327424 266713808993352 304815781706688 355618411991136 400070713490028 457223672560032 533427617986704 711236823982272 800141426980056 914447345120064 1066855235973408 1600282853960112 2133710471946816 3200565707920224 6401131415840448
- Sum of all divisors σ(n): 22198811346770604
- Sum of proper divisors (its aliquot sum) s(n): 15797679930930156
- 6401131415840448 is an abundant number, because the sum of its proper divisors (15797679930930156) is greater than itself. Its abundance is 9396548515089708
Bases of 6401131415840448
- Binary: 101101011110111001011100011000011001110100110110000002
- Hexadecimal: 0x16BDCB8C33A6C0
- Base-36: 1R10F6COC00
Squares and roots of 6401131415840448
- 6401131415840448 squared (64011314158404482) is 40974483402859538416654192840704
- 6401131415840448 cubed (64011314158404483) is 262283052957877214818211006327298648180743995392
-
The
square root of 6401131415840448 is 80007071.0365055673 -
The
cube root of 6401131415840448 is 185674.4934647147
Scales and comparisons
How big is 6401131415840448?- 6,401,131,415,840,448 seconds is equal to 203,536,179 years, 1 week, 1 day, 19 hours, 40 minutes, 48 seconds.
-
To count from 1 to 6,401,131,415,840,448 would take you about six hundred ten million, six hundred eight thousand, five hundred thirty-seven 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 6401131415840448 cubic inches would be around 15472.9 feet tall.
Recreational maths with 6401131415840448
- 6401131415840448 backwards is 8440485141311046
- 6401131415840448 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 6401131415840448's digits is 54
- More coming soon!
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