1448368735968
1,448,368,735,968 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1448368735968 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
1448368735968 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 1448368735968:
25 × 32 × 73 × 11 × 19 × 312 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 11 × 19 × 31 × 31 × 73)See below for interesting mathematical facts about the number 1448368735968 from the Numbermatics database.
Names of 1448368735968
- Cardinal: 1448368735968 can be written as One trillion, four hundred forty-eight billion, three hundred sixty-eight million, seven hundred thirty-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.448368735968 × 1012
Factors of 1448368735968
Divisors of 1448368735968
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 28 31 32 33 36 38 42 44 48 49 56 57 62 63 66 72 73 76 77 84 88 93 96 98 99 112 114 124 126 132 133 144 146 147 152 154 168 171 176 186 196 198 209 217 219 224 228 231 248 252 264 266 279 288 292 294 304 308 336 341 342 343 352 372 392 396 399 418 434 438 441 456 462 496 504 511 528 532 539 558 584 588 589 608 616 627 651 657 672 682 684 686 693 744 784 792 798 803 836 868 876 882 912 924 931 961 992 1008 1022 1023 1029 1056 1064 1078 1116 1168 1176 1178 1197 1232 1254 1302 1314 1364 1368 1372 1386 1387 1463 1488 1519 1533 1568 1584 1596 1606 1617 1672 1736 1752 1764 1767 1824 1848 1862 1881 1922 1953 2016 2044 2046 2058 2128 2156 2232 2263 2336 2352 2356 2387 2394 2409 2464 2508 2604 2628 2728 2736 2744 2772 2774 2793 2883 2926 2976 3038 3066 3069 3087 3168 3192 3212 3234 3344 3472 3504 3528 3534 3577 3696 3724 3762 3773 3844 3906 4088 4092 4116 4123 4161 4256 4312 4389 4464 4526 4557 4599 4704 4712 4774 4788 4818 4851 5016 5208 5256 5301 5456 5472 5488 5544 5548 5586 5621 5766 5852 6076 6132 6138 6174 6384 6424 6468 6479 6517 6688 6727 6789 6944 7008 7056 7068 7154 7161 7227 7392 7448 7524 7546 7688 7812 8176 8184 8232 8246 8322 8379 8624 8649 8778 8928 9052 9114 9198 9424 9548 9576 9636 9702 9709 10032 10241 10416 10512 10571 10602 10633 10731 10912 10976 11088 11096 11172 11242 11319 11532 11704 12152 12264 12276 12348 12369 12483 12768 12848 12936 12958 13034 13167 13454 13578 13671 14112 14136 14308 14322 14454 14896 15048 15092 15257 15376 15624 15841 16352 16368 16464 16492 16644 16709 16758 16863 17248 17298 17556 18104 18228 18259 18396 18848 19096 19152 19272 19404 19418 19437 19551 20064 20181 20367 20482 20832 21024 21142 21204 21266 21462 21483 22176 22192 22344 22484 22638 23064 23408 24304 24528 24552 24696 24738 24893 24966 25039 25696 25872 25916 26068 26334 26908 27156 27342 28272 28616 28644 28861 28908 29127 29792 30096 30184 30514 30723 30752 31248 31682 31713 31899 32193 32736 32928 32984 33288 33418 33516 33726 33957 34596 35112 36208 36456 36518 36792 37107 38192 38304 38544 38808 38836 38874 39102 39347 40362 40734 40964 42284 42408 42532 42924 42966 42997 44384 44688 44968 45276 45353 45771 46128 46816 47089 47523 48608 49056 49104 49392 49476 49786 49932 50078 50127 50589 51744 51832 52136 52668 53816 54312 54684 54777 56544 57232 57288 57722 57816 58254 58311 58653 60192 60368 60543 61028 61446 62496 63364 63426 63798 64386 65968 66576 66836 67032 67452 67914 67963 69192 70153 70224 71687 72416 72912 73036 73584 73997 74214 74679 75117 76384 77088 77616 77672 77748 78204 78694 80724 81468 81928 84568 84816 85064 85848 85932 85994 86583 87381 89376 89936 90552 90706 91542 92169 92256 94178 95046 95139 95697 98208 98784 98952 99572 99864 100156 100254 101178 103664 104272 105336 106799 107632 108624 109368 109554 110887 114464 114576 115444 115632 116508 116622 116963 117306 118041 120736 121086 122056 122892 126728 126852 127596 127813 128772 128991 131936 133152 133672 134064 134904 135828 135926 136059 137313 138384 140306 140448 141267 142569 143374 145824 146072 147168 147994 148428 149358 150234 150381 155232 155344 155496 156408 157388 161448 162936 163856 164331 169136 169632 170128 171696 171864 171988 173166 174251 174762 179872 181104 181412 183084 184338 188356 190092 190278 191394 197904 199144 199728 200312 200508 200849 202027 202356 203889 207328 208544 210459 210672 213598 215061 215264 217248 218736 219108 221774 221991 224037 225351 229152 230888 231264 233016 233244 233926 234612 236082 242172 244112 245784 253456 253704 255192 255626 257544 257982 259749 267344 268128 269808 271656 271852 272118 274626 275429 276768 280612 282534 285138 286748 292144 295988 296856 298716 300468 300762 300979 310688 310992 312816 314776 317471 320397 322896 325872 327712 328662 329623 332661 338272 340256 343392 343728 343976 346332 348502 349524 350889 354123 362208 362824 366168 368676 376712 380184 380556 382788 383439 386973 395808 398288 399456 400624 401016 401698 404054 404712 407778 408177 420918 421344 423801 427196 430122 437472 438216 443548 443982 448074 450702 461776 466032 466488 467852 469224 472164 472967 475741 484344 488224 491071 491568 506912 507408 510384 511252 515088 515964 517979 519498 522753 534688 539616 543312 543704 544236 549252 550858 561224 565068 570276 573496 584288 591976 593712 597432 600936 601524 601958 602547 606081 611667 621984 625632 629552 631377 634942 640794 645183 645792 651744 657324 659246 665322 665973 687456 687952 692664 697004 699048 701778 708246 725648 732336 737352 747593 753424 760368 761112 765576 766878 771683 773946 776209 796576 801248 802032 803396 808108 809424 815556 816354 826287 841836 847602 854392 860244 876432 887096 887964 894691 896148 901404 902937 923552 932064 932976 935704 938448 944328 945934 951482 952413 961191 968688 982142 983136 988869 997983 1014816 1020768 1022504 1030176 1031928 1035958 1038996 1045506 1052667 1086624 1087408 1088472 1098504 1101716 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137782414 139052298 141428448 144374874 149177952 149285584 150308088 151249868 151693416 153689382 157465616 158916912 160005384 162227681 164999856 167460832 167946282 172856992 174040944 175645008 175943724 176975652 177148818 185403064 188393436 191938608 192499832 194464116 195937329 200410784 202257888 202455792 204919176 205267678 206673621 208578447 213340512 215306784 216562311 222244704 223548192 223928376 225462132 226874802 234591632 235967536 236198424 238375368 247499784 251191248 257671008 259285488 261061416 261249772 263915586 264687269 265463478 273225568 275564828 278104596 288749748 298571168 300616176 302499736 303386832 307378764 307901517 314931232 317833824 320010768 324455362 329999712 335892564 340312203 348081888 351290016 351887448 353951304 354297636 370806128 376786872 383877216 384999664 388928232 391874658 404911584 409838352 410535356 413347242 417156894 433124622 447856752 450924264 453749604 457187101 469183264 471935072 472396848 476750736 486683043 494999568 502382496 518570976 522122832 522499544 527831172 529374538 530926956 551129656 556209192 577499496 587811987 601232352 604999472 606773664 614757528 615803034 620020863 640021536 648910724 671785128 680624406 703774896 707902608 708595272 718436873 741612256 753573744 769999328 777856464 783749316 794061807 819676704 821070712 826694484 834313788 866249244 895713504 901848528 907499208 914374202 923704551 944793696 953501472 973366086 989999136 1044245664 1044999088 1055662344 1058749076 1061853912 1102259312 1112418384 1154998992 1175623974 1209998944 1229515056 1231606068 1240041726 1297821448 1343570256 1361248812 1371561303 1407549792 1415805216 1417190544 1436873746 1460049129 1507147488 1555712928 1567498632 1588123614 1642141424 1653388968 1668627576 1732498488 1803697056 1814998416 1828748404 1847409102 1946732172 2089998176 2111324688 2117498152 2123707824 2155310619 2204518624 2224836768 2309997984 2351247948 2382185421 2459030112 2463212136 2480083452 2595642896 2687140512 2722497624 2743122606 2834381088 2873747492 2920098258 3134997264 3176247228 3284282848 3306777936 3337255152 3464996976 3629996832 3657496808 3694818204 3893464344 4114683909 4222649376 4234996304 4247415648 4310621238 4702495896 4764370842 4926424272 4960166904 5029058111 5191285792 5444995248 5486245212 5747494984 5840196516 6269994528 6352494456 6465931857 6613555872 6674510304 6929993952 7314993616 7389636408 7786928688 8229367818 8469992608 8621242476 9404991792 9528741684 9852848544 9920333808 10058116222 10889990496 10972490424 11494989968 11680393032 12704988912 12931863714 14629987232 14779272816 15087174333 15573857376 16458735636 17242484952 18809983584 19057483368 19840667616 20116232444 21944980848 22989979936 23360786064 25409977824 25863727428 29558545632 30174348666 32917471272 34484969904 38114966736 40232464888 43889961696 45261522999 46721572128 51727454856 60348697332 65834942544 68969939808 76229933472 80464929776 90523045998 103454909712 120697394664 131669885088 160929859552 181046091996 206909819424 241394789328 362092183992 482789578656 724184367984 1448368735968
- Sum of all divisors σ(n): 5777448768000
- Sum of proper divisors (its aliquot sum) s(n): 4329080032032
- 1448368735968 is an abundant number, because the sum of its proper divisors (4329080032032) is greater than itself. Its abundance is 2880711296064
Bases of 1448368735968
- Binary: 101010001001110011000000100000110111000002
- Hexadecimal: 0x151398106E0
- Base-36: IHDDCL40
Squares and roots of 1448368735968
- 1448368735968 squared (14483687359682) is 2097771995329542096897024
- 1448368735968 cubed (14483687359683) is 3038347373224518086490986825940959232
-
The
square root of 1448368735968 is 1203481.9217453995 -
The
cube root of 1448368735968 is 11314.2658884451
Scales and comparisons
How big is 1448368735968?- 1,448,368,735,968 seconds is equal to 46,053 years, 33 weeks, 4 days, 52 minutes, 48 seconds.
-
To count from 1 to 1,448,368,735,968 would take you about one hundred fifteen thousand, one hundred thirty-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 1448368735968 cubic inches would be around 942.9 feet tall.
Recreational maths with 1448368735968
- 1448368735968 backwards is 8695378638441
- 1448368735968 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1448368735968's digits is 72
- More coming soon!
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"Number 1448368735968 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 1448368735968 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/1448368735968/
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The information we have on file for 1448368735968 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!
Keywords: Divisors of 1448368735968, math, Factors of 1448368735968, curriculum, school, college, exams, university, Prime factorization of 1448368735968, STEM, science, technology, engineering, physics, economics, calculator, one trillion, four hundred forty-eight billion, three hundred sixty-eight million, seven hundred thirty-five thousand, nine hundred sixty-eight.