10468748388384
10,468,748,388,384 is an even composite number composed of six prime numbers multiplied together.
10468748388384 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 10468748388384:
25 × 35 × 11 × 132 × 232 × 372
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 13 × 23 × 23 × 37 × 37)See below for interesting mathematical facts about the number 10468748388384 from the Numbermatics database.
Names of 10468748388384
- Cardinal: 10468748388384 can be written as Ten trillion, four hundred sixty-eight billion, seven hundred forty-eight million, three hundred eighty-eight thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.0468748388384 × 1013
Factors of 10468748388384
Divisors of 10468748388384
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 27 32 33 36 37 39 44 46 48 52 54 66 69 72 74 78 81 88 92 96 99 104 108 111 117 132 138 143 144 148 156 162 169 176 184 198 207 208 216 222 234 243 253 264 276 286 288 296 297 299 312 324 333 338 351 352 368 396 407 414 416 429 432 444 468 481 486 506 507 528 529 552 572 592 594 598 621 624 648 666 676 702 736 759 792 814 828 851 858 864 888 891 897 936 962 972 999 1012 1014 1053 1056 1058 1104 1144 1184 1188 1196 1221 1242 1248 1287 1296 1332 1352 1369 1404 1443 1518 1521 1584 1587 1628 1656 1702 1716 1776 1782 1794 1859 1863 1872 1924 1944 1998 2024 2028 2106 2116 2208 2277 2288 2376 2392 2442 2484 2553 2574 2592 2664 2673 2691 2704 2738 2808 2886 2997 3036 3042 3159 3168 3174 3256 3289 3312 3404 3432 3552 3564 3588 3663 3718 3726 3744 3848 3861 3887 3888 3996 4048 4056 4107 4212 4232 4329 4554 4563 4576 4752 4761 4784 4884 4968 5106 5148 5291 5328 5346 5382 5408 5476 5577 5589 5616 5772 5819 5994 6072 6084 6253 6318 6348 6512 6578 6624 6808 6831 6864 6877 7128 7176 7326 7436 7452 7659 7696 7722 7774 7776 7992 8073 8096 8112 8214 8424 8464 8658 8991 9108 9126 9361 9504 9522 9568 9768 9867 9936 10212 10296 10582 10656 10692 10764 10952 10989 11063 11154 11178 11232 11544 11583 11638 11661 11988 12144 12168 12321 12506 12636 12696 12987 13024 13156 13616 13662 13689 13728 13754 14256 14283 14352 14652 14872 14904 15059 15318 15392 15444 15548 15873 15984 16146 16224 16428 16731 16848 16928 17316 17457 17797 17982 18216 18252 18722 18759 19044 19536 19573 19734 19872 20424 20493 20592 20631 21164 21384 21528 21904 21978 22126 22308 22356 22977 23088 23166 23276 23322 23976 24219 24288 24336 24642 25012 25272 25392 25974 26312 27232 27324 27378 27508 28083 28512 28566 28704 29304 29601 29744 29808 30118 30636 30888 31096 31487 31746 31968 32292 32856 32967 33189 33462 33696 34632 34749 34914 34983 35594 35964 36432 36504 36963 37444 37518 38088 38961 39072 39146 39468 40848 40986 41067 41184 41262 42328 42757 42768 42849 43056 43808 43956 44252 44616 44712 45177 45954 46176 46332 46552 46644 47619 47952 48438 48672 49284 50024 50193 50544 50784 51948 52371 52624 53391 54648 54756 55016 56166 56277 57132 58608 58719 59202 59488 59616 60236 61272 61479 61776 61893 62192 62974 63492 64584 65712 65934 66378 66924 68783 68931 69264 69498 69828 69966 71188 71928 72657 72864 73008 73926 74888 75036 75647 76176 77922 78292 78936 81696 81972 82134 82524 84249 84656 85514 85536 85698 86112 87912 88504 88803 89232 89401 89424 90354 91908 92664 93104 93288 94461 95238 95904 96876 98568 98901 99567 100048 100386 101088 103896 104742 104949 105248 106782 109296 109512 110032 110889 112332 112554 114264 116883 117216 117438 118404 120472 121693 122544 122958 123552 123786 124384 125948 126984 128271 128547 129168 131424 131868 132756 133848 135531 137566 137862 138528 138996 139656 139932 142376 142857 143819 143856 145314 146016 147852 149776 150072 150579 151294 152352 155844 156584 157113 157872 160173 163944 164268 165048 168498 168831 169312 171028 171396 175824 176157 177008 177606 178464 178802 178848 180708 183816 185328 185679 186208 186576 188922 190476 193752 195767 197136 197802 199134 200096 200772 206349 206793 207792 209484 209898 213564 215303 218592 219024 220064 221778 224664 225108 226941 228528 231361 233766 234876 236808 240944 243386 245088 245916 247572 251896 252747 253968 254449 256542 257094 258336 263736 265512 266409 267696 268203 271062 275132 275724 277992 279312 279864 283383 284752 285714 287638 287712 290628 295704 298701 299552 300144 301158 302588 311688 313168 314226 314847 315744 320346 327888 328536 330096 332667 336996 337662 342056 342792 346357 351648 352314 354016 355212 357604 361416 365079 367632 370656 371358 373152 377844 380952 384813 387504 391534 394272 395604 398268 401544 406593 409331 412698 413586 415584 418968 419796 427128 428571 430606 431457 438048 443556 449328 450216 451737 453882 457056 462722 467532 469752 471339 473616 480519 481888 486772 491832 495144 503792 505494 506493 507936 508898 513084 514188 527472 528471 531024 532818 535392 536406 542124 550264 551448 555984 557037 558624 559728 566766 569504 571428 575276 581256 587301 591408 597402 600288 602316 605176 619047 623376 626336 628452 629694 640692 645909 655776 657072 660192 665334 673992 675324 680823 684112 685584 692714 694083 704628 710424 715208 722832 724201 730158 735264 742716 755688 758241 761904 763347 769626 775008 783068 791208 796536 799227 803088 804609 813186 818662 825396 827172 837936 839592 850149 854256 857142 861212 862914 887112 896103 898656 900432 903474 907764 925444 935064 939504 942678 944541 947232 961038 973544 983411 983664 990288 1007584 1010988 1012986 1017796 1026168 1028376 1039071 1054944 1056942 1062048 1065636 1072812 1084248 1095237 1100528 1102896 1111968 1114074 1119456 1133532 1142856 1150552 1154439 1162512 1174602 1182816 1194804 1204632 1210352 1219779 1227993 1238094 1246752 1256904 1259388 1281384 1285713 1291818 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88415496 89142768 89311599 89566048 91618956 93010896 93194712 94407456 95142762 95594532 95783454 98038512 99467433 99750816 99947952 100761804 103560743 104284944 104637258 105142752 105850784 106208388 108063384 109158621 109921968 110826144 112219668 112441446 112975356 113904648 115863696 117068666 117098784 117320562 117887328 118285596 119082132 121571307 122158608 122389969 122421456 123662214 124259616 126857016 127459376 127711272 128142729 132623244 133714152 134349072 137428434 138389472 139516344 139792068 141611184 143391798 143675181 144084512 145544828 147057768 149626224 149921928 150633808 151142706 151872864 152199648 156427416 157714128 158776176 159312582 162095076 164882952 166239216 168329502 169142688 169463034 170281696 170856972 173795544 175602999 175980843 176830992 178285536 178623198 183237912 186021792 186389424 190285524 191189064 191566908 196077024 198934866 199895904 201523608 206142651 207121486 208569888 209274516 212416776 215087697 216126768 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582179312 588231072 599687712 604570824 618427953 621364458 625709664 637250328 645263091 648380304 654951726 659531808 673318008 677852136 680142177 683427888 695182176 702411996 703923372 714492792 729427842 732951648 734339814 761142096 762583653 764756256 766267632 768856374 795739464 803804391 806094432 824570604 828485944 837098064 849667104 860350788 862051086 873268968 897757344 899531568 903802848 906856236 932046687 936549328 938564496 946284768 952657056 955875492 972570456 979119752 982427589 989297712 1016778204 1025141832 1053617994 1060985952 1071739188 1094141763 1099427472 1101509721 1118336544 1147134384 1149401448 1164358624 1209141648 1236855906 1242728916 1274500656 1290526182 1293076629 1296760608 1309903452 1346289659 1346636016 1355704272 1360284354 1366855776 1404823992 1407846744 1428985584 1458855684 1468679628 1522284192 1525167306 1532535264 1537712748 1580426991 1591478928 1607608782 1649141208 1656971888 1674196128 1720701576 1724102172 1746537936 1799063136 1813712472 1864093374 1873098656 1877128992 1911750984 1935789273 1945140912 1958239504 1964855178 1978595424 2033556408 2050283664 2107235988 2143478376 2188283526 2198854944 2203019442 2287750959 2294268768 2298802896 2418283296 2473711812 2485457832 2549001312 2581052364 2586153258 2619806904 2692579318 2693272032 2711408544 2720568708 2796140061 2809647984 2815693488 2857971168 2917711368 2937359256 2947282767 3050334612 3075425496 3160853982 3182957856 3215217564 3298282416 3304529163 3313943776 3441403152 3448204344 3493075872 3627424944 3728186748 3823501968 3871578546 3890281824 3916479008 3929710356 4038868977 4067112816 4100567328 4214471976 4286956752 4376567052 4406038884 4575501918 4597605792 4741280973 4947423624 4970915664 5162104728 5172306516 5239613808 5385158636 5441137416 5592280122 5619295968 5631386976 5835422736 5874718512 5894565534 6100669224 6150850992 6321707964 6430435128 6596564832 6609058326 6882806304 6896408688 7254849888 7456373496 7647003936 7743157092 7859420712 8077737954 8134225632 8388420183 8428943952 8573913504 8753134104 8812077768 8841848301 9151003836 9482561946 9894847248 9913587489 9941831328 10324209456 10344613032 10479227616 10770317272 10882274832 11184560244 11670845472 11749437024 11789131068 12116606931 12201338448 12301701984 12643415928 12860870256 13218116652 13792817376 14223842919 14912746992 15486314184 15718841424 16155475908 16776840366 16857887904 17506268208 17624155536 17683696602 18302007672 18965123892 19789694496 19827174978 20648418912 20689226064 21540634544 21764549664 22369120488 23578262136 24233213862 24402676896 25165260549 25286831856 25721740512 26436233304 28447685838 29740762467 29825493984 30972628368 31437682848 32310951816 33553680732 35012536416 35248311072 35367393204 36349820793 36604015344 37930247784 39654349956 41378452128 43081269088 44738240976 47156524272 48466427724 50330521098 50573663712 52872466608 56895371676 59481524934 61945256736 64621903632 67107361464 70734786408 72699641586 73208030688 75860495568 79308699912 89476481952 94313048544 96932855448 100661042196 105744933216 109049462379 113790743352 118963049868 129243807264 134214722928 141469572816 145399283172 151720991136 158617399824 193865710896 201322084392 218098924758 227581486704 237926099736 268429445856 282939145632 290798566344 317234799648 327148387137 387731421792 402644168784 436197849516 455162973408 475852199472 581597132688 654296774274 805288337568 872395699032 951704398944 1163194265376 1308593548548 1744791398064 2617187097096 3489582796128 5234374194192 10468748388384
- Sum of all divisors σ(n): 39182622281712
- Sum of proper divisors (its aliquot sum) s(n): 28713873893328
- 10468748388384 is an abundant number, because the sum of its proper divisors (28713873893328) is greater than itself. Its abundance is 18245125504944
Bases of 10468748388384
- Binary: 100110000101011100100000011101101000001000002
- Hexadecimal: 0x98572076820
- Base-36: 3PL9YHU00
Squares and roots of 10468748388384
- 10468748388384 squared (104687483883842) is 109594692819292597306131456
- 10468748388384 cubed (104687483883843) is 1147319263827408915391505179881647407104
-
The
square root of 10468748388384 is 3235544.5273375547 -
The
cube root of 10468748388384 is 21875.8491845211
Scales and comparisons
How big is 10468748388384?- 10,468,748,388,384 seconds is equal to 332,873 years, 42 weeks, 3 days, 7 hours, 26 minutes, 24 seconds.
-
To count from 1 to 10,468,748,388,384 would take you about eight hundred thirty-two thousand, one hundred eighty-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 10468748388384 cubic inches would be around 1823 feet tall.
Recreational maths with 10468748388384
- 10468748388384 backwards is 48388384786401
- 10468748388384 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10468748388384's digits is 72
- More coming soon!
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"Number 10468748388384 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 10468748388384 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/10468748388384/
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The information we have on file for 10468748388384 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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