106972238482416
106,972,238,482,416 is an even composite number composed of six prime numbers multiplied together.
106972238482416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 106972238482416:
24 × 34 × 193 × 292 × 41 × 349
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 19 × 19 × 29 × 29 × 41 × 349)See below for interesting mathematical facts about the number 106972238482416 from the Numbermatics database.
Names of 106972238482416
- Cardinal: 106972238482416 can be written as One hundred six trillion, nine hundred seventy-two billion, two hundred thirty-eight million, four hundred eighty-two thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.06972238482416 × 1014
Factors of 106972238482416
Divisors of 106972238482416
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 29 36 38 41 48 54 57 58 72 76 81 82 87 108 114 116 123 144 152 162 164 171 174 216 228 232 246 261 304 324 328 342 348 349 361 369 432 456 464 492 513 522 551 648 656 684 696 698 722 738 779 783 841 912 984 1026 1044 1047 1083 1102 1107 1189 1296 1368 1392 1396 1444 1476 1539 1558 1566 1653 1682 1968 2052 2088 2094 2166 2204 2214 2337 2349 2378 2523 2736 2792 2888 2952 3078 3116 3132 3141 3249 3306 3321 3364 3567 4104 4176 4188 4332 4408 4428 4674 4698 4756 4959 5046 5584 5776 5904 6156 6232 6264 6282 6498 6612 6631 6642 6728 6859 7011 7134 7569 8208 8376 8664 8816 8856 9348 9396 9423 9512 9747 9918 10092 10121 10469 10701 12312 12464 12528 12564 12996 13224 13262 13284 13456 13718 14022 14268 14309 14801 14877 15138 15979 16752 17328 17712 18696 18792 18846 19024 19494 19836 19893 20184 20242 20577 20938 21033 21402 22591 22707 24624 25128 25992 26448 26524 26568 27436 28044 28269 28536 28618 29241 29602 29754 30276 30363 31407 31958 32103 34481 37392 37584 37692 38988 39672 39786 40368 40484 41154 41876 42066 42804 42927 44403 44631 45182 45414 47937 50256 51984 53048 53136 54872 56088 56538 57072 57236 58482 59204 59508 59679 60552 60726 61731 62814 63099 63916 64206 67773 68121 68962 75384 77976 79344 79572 80968 82308 83752 84132 85608 85854 88806 89262 90364 90828 91089 94221 95874 96309 103443 106096 109744 112176 113076 114472 116964 118408 119016 119358 121104 121452 123462 125628 125989 126198 127832 128412 128781 133209 135546 136242 137924 143811 150768 155952 159144 161936 164616 167504 168264 171216 171708 177612 178524 179037 180728 181656 182178 185193 188442 191748 192299 192618 198911 203319 206886 226152 228944 233928 236816 238032 238716 242904 246924 251256 251978 252396 255664 256824 257562 266418 271092 271871 272484 273267 275848 281219 282663 287622 293509 303601 310329 318288 329232 336528 343416 355224 357048 358074 361456 363312 364356 370386 376884 377967 383496 384598 385236 386343 397822 399627 406638 413772 414961 429229 431433 452304 467856 477432 485808 493848 502512 503956 504792 513648 515124 532836 537111 542184 543742 544968 546534 551696 555579 562438 565326 575244 576897 587018 596733 607202 609957 620658 655139 686832 710448 714096 716148 728712 740772 753768 755934 766992 769196 770472 772686 795644 799254 813276 815613 819801 827544 829922 843657 847989 858458 862866 880527 910803 930987 954864 987696 1007912 1009584 1030248 1065672 1074222 1084368 1087484 1089936 1093068 1111158 1124876 1130652 1133901 1150488 1153794 1159029 1174036 1193466 1198881 1214404 1219914 1241316 1244883 1287687 1294299 1310278 1432296 1457424 1481544 1507536 1511868 1538392 1540944 1545372 1591288 1598508 1626552 1631226 1639602 1655088 1659844 1687314 1695978 1716916 1725732 1730691 1761054 1790199 1821606 1829871 1861974 1965417 2015824 2060496 2131344 2148444 2174968 2186136 2222316 2249752 2261304 2267802 2300976 2307588 2318058 2348072 2386932 2393791 2397762 2428808 2439828 2446839 2482632 2489766 2530971 2575374 2588598 2620556 2641581 2732409 2792961 2864592 2963088 3023736 3076784 3090744 3182576 3197016 3253104 3262452 3279204 3319688 3374628 3391956 3401703 3433832 3451464 3461382 3522108 3580398 3643212 3653681 3659742 3723948 3734649 3863061 3930834 4296888 4349936 4372272 4444632 4499504 4522608 4535604 4615176 4636116 4696144 4773864 4787582 4795524 4857616 4879656 4893678 4965264 4979532 5061942 5150748 5165549 5177196 5192073 5241112 5283162 5370597 5464818 5576671 5585922 5768419 5896251 6047472 6181488 6394032 6524904 6558408 6639376 6749256 6783912 6803406 6867664 6902928 6922764 7044216 7160796 7181373 7286424 7307362 7319484 7340517 7447896 7469298 7592913 7726122 7861668 7884259 7924743 8155351 8197227 8593776 8889264 9071208 9230352 9272232 9547728 9575164 9591048 9759312 9787356 9959064 10123884 10205109 10301496 10331098 10354392 10384146 10482224 10566324 10741194 10929636 10961043 11153342 11171844 11203947 11536838 11589183 11792502 12033869 12447641 13049808 13116816 13498512 13567824 13606812 13845528 14088432 14321592 14362746 14572848 14614724 14638968 14681034 14895792 14938596 15185826 15452244 15496647 15576219 15723336 15768518 15849486 16111791 16310702 16394454 16730013 17305257 17688753 18142416 18544464 19150328 19182096 19574712 19918128 20247768 20410218 20602992 20662196 20708784 20768292 21132648 21482388 21544119 21859272 21922086 22021551 22306684 22343688 22407894 22778739 23073676 23178366 23585004 23652777 23774229 24067738 24466053 24591681 24895282 27213624 27691056 28643184 28725492 29229448 29277936 29362068 29877192 30371652 30904488 30993294 31152438 31446672 31537036 31698972 32223582 32621404 32788908 32883129 33460026 33611841 34610514 34767549 35377506 36101607 37342923 38300656 39149424 40495536 40820436 41324392 41536584 42265296 42964776 43088238 43718544 43844172 44043102 44613368 44687376 44815788 45557478 46147352 46356732 46489941 47170008 47305554 47548458 48135476 48932106 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946020716 953610741 974743389 1008258921 1034117712 1110719024 1115758584 1135333296 1174370544 1177745172 1183792644 1198407368 1204560936 1245978504 1249558902 1271480988 1277249958 1299657852 1321166862 1344345228 1348208289 1371861066 1419031074 1551176568 1570326896 1578390192 1666078536 1673637876 1695307984 1702999944 1732877136 1761555816 1766617758 1792460304 1797611052 1806841404 1829148088 1868967756 1874338353 1892041432 1907221482 1949486778 2013178231 2016517842 2057791599 2128546611 2231517168 2355490344 2367585288 2396814736 2409121872 2491957008 2499117804 2542961976 2554499916 2599315704 2642333724 2649926637 2688690456 2696416578 2743722132 2838062148 2846217499 2860832223 3102353136 3332157072 3347275752 3405999888 3523111632 3533235516 3595222104 3613682808 3658296176 3737935512 3748676706 3784082864 3814442964 3898973556 4026356462 4033035684 4044624867 4115583198 4257093222 4344226709 4710980688 4735170576 4998235608 5085923952 5108999832 5198631408 5284667448 5299853274 5377380912 5392833156 5487444264 5623015059 5676124296 5692434998 5721664446 6039534693 6173374797 6385639833 6694551504 7066471032 7190444208 7227365616 7475871024 7497353412 7628885928 7797947112 7949779911 8052712924 8066071368 8089249734 8231166396 8514186444 8538652497 8582496669 8688453418 9996471216 10217999664 10569334896 10599706548 10785666312 10974888528 11246030118 11352248592 11384869996 11443328892 12079069386 12133874601 12346749594 12771279666 13032680127 14132942064 14994706824 15257771856 15595894224 15899559822 16105425848 16132142736 16178499468 16462332792 17028372888 17077304994 17164993338 17376906836 18118604079 18520124391 19156919499 21199413096 21571332624 22492060236 22769739992 22886657784 24158138772 24267749202 24693499188 25542559332 25615957491 26065360254 29989413648 31799119644 32210851696 32356998936 32924665584 34056745776 34154609988 34329986676 34753813672 36237208158 37040248782 38313838998 39098040381 42398826192 44984120472 45539479984 45773315568 48316277544 48535498404 49386998376 51085118664 51231914982 52130720508 54355812237 63598239288 64713997872 68309219976 68659973352 69507627344 72474416316 74080497564 76627677996 76847872473 78196080762 82540307471 89968240944 96632555088 97070996808 98773996752 102170237328 102463829964 104261441016 108711624474 117294121143 127196478576 136618439952 137319946704 144948832632 148160995128 153255355992 153695744946 156392161524 163067436711 165080614942 194141993616 204927659928 208522882032 217423248948 230543617419 234588242286 247620922413 289897665264 296321990256 306510711984 307391489892 312784323048 326134873422 330161229884 351882363429 409855319856 434846497896 461087234838 469176484572 495241844826 614782979784 625568646096 652269746844 660322459768 703764726858 742862767239 869692995792 922174469676 938352969144 990483689652 1229565959568 1304539493688 1320644919536 1407529453716 1485725534478 1844348939352 1876705938288 1980967379304 2228588301717 2609078987376 2815058907432 2971451068956 3688697878704 3961934758608 4457176603434 5630117814864 5942902137912 6685764905151 8914353206868 11885804275824 13371529810302 17828706413736 26743059620604 35657412827472 53486119241208 106972238482416
- Sum of all divisors σ(n): 347713153788000
- Sum of proper divisors (its aliquot sum) s(n): 240740915305584
- 106972238482416 is an abundant number, because the sum of its proper divisors (240740915305584) is greater than itself. Its abundance is 133768676823168
Bases of 106972238482416
- Binary: 110000101001010011010100100011010001011111100002
- Hexadecimal: 0x614A6A468BF0
- Base-36: 11X2D8UN00
Squares and roots of 106972238482416
- 106972238482416 squared (1069722384824162) is 11443059805938882566741197056
- 106972238482416 cubed (1069722384824163) is 1224089722529443098725302188196352646967296
-
The
square root of 106972238482416 is 10342738.4421349455 -
The
cube root of 106972238482416 is 47470.4878145929
Scales and comparisons
How big is 106972238482416?- 106,972,238,482,416 seconds is equal to 3,401,386 years, 15 weeks, 3 days, 1 hour, 33 minutes, 36 seconds.
-
To count from 1 to 106,972,238,482,416 would take you about eight million, five hundred three thousand, four hundred sixty-five 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 106972238482416 cubic inches would be around 3955.9 feet tall.
Recreational maths with 106972238482416
- 106972238482416 backwards is 614284832279601
- The number of decimal digits it has is: 15
- The sum of 106972238482416's digits is 63
- More coming soon!
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The information we have on file for 106972238482416 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 106972238482416, math, Factors of 106972238482416, curriculum, school, college, exams, university, Prime factorization of 106972238482416, STEM, science, technology, engineering, physics, economics, calculator, one hundred six trillion, nine hundred seventy-two billion, two hundred thirty-eight million, four hundred eighty-two thousand, four hundred sixteen.