107830948878912672
107,830,948,878,912,672 is an even composite number composed of five prime numbers multiplied together.
What does the number 107830948878912672 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
107830948878912672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 107830948878912672:
25 × 34 × 72 × 173 × 5573
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 17 × 17 × 17 × 557 × 557 × 557)See below for interesting mathematical facts about the number 107830948878912672 from the Numbermatics database.
Names of 107830948878912672
- Cardinal: 107830948878912672 can be written as One hundred seven quadrillion, eight hundred thirty trillion, nine hundred forty-eight billion, eight hundred seventy-eight million, nine hundred twelve thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.07830948878912672 × 1017
Factors of 107830948878912672
Divisors of 107830948878912672
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 49 51 54 56 63 68 72 81 84 96 98 102 108 112 119 126 136 144 147 153 162 168 189 196 204 216 224 238 252 272 288 289 294 306 324 336 357 378 392 408 432 441 459 476 504 544 557 567 578 588 612 648 672 714 756 784 816 833 864 867 882 918 952 1008 1071 1114 1134 1156 1176 1224 1296 1323 1377 1428 1512 1568 1632 1666 1671 1734 1764 1836 1904 2016 2023 2142 2228 2268 2312 2352 2448 2499 2592 2601 2646 2754 2856 3024 3213 3332 3342 3468 3528 3672 3808 3899 3969 4046 4284 4456 4536 4624 4704 4896 4913 4998 5013 5202 5292 5508 5712 6048 6069 6426 6664 6684 6936 7056 7344 7497 7798 7803 7938 8092 8568 8912 9072 9248 9469 9639 9826 9996 10026 10404 10584 11016 11424 11697 12138 12852 13328 13368 13872 14112 14161 14688 14739 14994 15039 15596 15606 15876 16184 17136 17824 18144 18207 18938 19278 19652 19992 20052 20808 21168 22032 22491 23394 23409 24276 25704 26656 26736 27293 27744 28322 28407 29478 29988 30078 31192 31212 31752 32368 34272 34391 35091 36414 37876 38556 39304 39984 40104 41616 42336 42483 44064 44217 44982 45117 46788 46818 48552 51408 53472 54586 54621 56644 56814 58956 59976 60156 62384 62424 63504 64736 66283 67473 68782 70182 72828 75752 77112 78608 79968 80208 81879 83232 84966 85221 88434 89964 90234 93576 93636 97104 102816 103173 105273 109172 109242 113288 113628 117912 119952 120312 124768 124848 127008 127449 132566 132651 134946 137564 140364 145656 151504 154224 157216 160416 160973 163758 163863 169932 170442 176868 179928 180468 187152 187272 194208 198849 206346 210546 218344 218484 226576 227256 235824 239904 240624 240737 245637 249696 254898 255663 265132 265302 269892 275128 280728 291312 303008 308448 309519 310249 315819 321946 327516 327726 339864 340884 353736 359856 360936 374304 374544 382347 397698 397953 412692 421092 436688 436968 453152 454512 463981 471648 481248 481474 482919 491274 509796 511326 530264 530604 539784 550256 561456 582624 596547 619038 620498 631638 643892 655032 655452 679728 681768 707472 719712 721872 722211 736911 749088 764694 766989 795396 795906 825384 842184 873376 873936 909024 927962 928557 930747 962948 965838 982548 1019592 1022652 1060528 1061208 1079568 1100512 1122912 1126811 1147041 1193094 1238076 1240996 1263276 1287784 1310064 1310904 1359456 1363536 1391943 1414944 1443744 1444422 1448757 1473822 1529388 1533978 1590792 1591812 1650768 1684368 1747872 1789641 1855924 1857114 1861494 1925896 1931676 1965096 2039184 2045304 2121056 2122416 2159136 2166633 2171743 2210733 2253622 2294082 2386188 2476152 2481992 2526552 2575568 2620128 2621808 2727072 2736541 2783886 2785671 2792241 2888844 2897514 2947644 3058776 3067956 3181584 3183624 3301536 3368736 3380433 3579282 3711848 3714228 3722988 3851792 3863352 3930192 4078368 4090608 4175829 4244832 4333266 4343486 4346271 4421466 4507244 4588164 4772376 4952304 4963984 5053104 5151136 5243616 5274233 5368923 5473082 5567772 5571342 5584482 5777688 5795028 5895288 6117552 6135912 6363168 6367248 6499899 6515229 6760866 7158564 7423696 7428456 7445976 7703584 7726704 7860384 7887677 8181216 8209623 8351658 8376723 8666532 8686972 8692542 8842932 9014488 9176328 9544752 9904608 9927968 10106208 10141299 10548466 10737846 10946164 11135544 11142684 11168964 11555376 11590056 11790576 12235104 12271824 12527487 12734496 12999798 13030458 13038813 13521732 14317128 14847392 14856912 14891952 15202201 15453408 15775354 15822699 16419246 16703316 16753446 17333064 17373944 17385084 17685864 18028976 18352656 19089504 19155787 19499697 19545687 20282598 21096932 21475692 21892328 22271088 22285368 22337928 23110752 23180112 23581152 23663031 24543648 24628869 25054974 25130169 25999596 26060916 26077626 27043464 28634256 29713824 29783904 30404402 30423897 31550708 31645398 32838492 33406632 33506892 34666128 34747888 34770168 35371728 36057952 36705312 36919631 37582461 38311574 38999394 39091374 40565196 42193864 42951384 43784656 44542176 44570736 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2547027326127 2591093542842 2688782886468 2696852462958 2743510810068 2796735887512 2846946585672 2961249763248 3072894727392 3135440925792 3146327873451 3331405983654 3396036434836 3454791390456 3457006568316 3585043848624 3595803283944 3658014413424 3795928780896 3807321124176 3886640314263 3950864649504 4033174329702 4045278694437 4195103831268 4441874644872 4606388520608 4609342091088 4794404378592 4894287803146 5094054652254 5182187085684 5377565772936 5393704925916 5487021620136 5593471775024 5693893171344 5922499526496 5943063760963 6049761494553 6292655746902 6662811967308 6792072869672 6909582780912 6914013136632 7170087697248 7191606567888 7316028826848 7341431704719 7614642248352 7641081978381 7773280628526 8066348659404 8090557388874 8390207662536 8883749289744 9218684182176 9438983620353 9788575606292 10188109304508 10364374171368 10755131545872 10787409851832 10974043240272 11186943550048 11387786342688 11659920942789 11886127521926 12099522989106 12585311493804 13325623934616 13584145739344 13819165561824 13828026273264 14383213135776 14682863409438 15282163956762 15546561257052 16132697318808 16181114777748 16780415325072 17767498579488 17829191282889 18877967240706 19577151212584 20376218609016 20728748342736 21510263091744 21574819703664 21948086480544 22024295114157 22923245935143 23319841885578 23772255043852 24199045978212 25170622987608 26651247869232 27168291478688 27656052546528 28316950861059 29365726818876 30564327913524 31093122514104 32265394637616 32362229555496 33560830650144 35658382565778 37755934481412 39154302425168 40752437218032 41457496685472 41601446326741 43149639407328 44048590228314 45846491870286 46639683771156 47544510087704 48398091956424 50341245975216 53302495738464 53487573848667 56633901722118 58731453637752 61128655827048 62186245028208 64530789275232 64724459110992 66072885342471 68769737805429 71316765131556 75511868962824 78308604850336 81504874436064 83202892653482 88097180456628 91692983740572 93279367542312 95089020175408 96796183912848 100682491950432 106975147697334 113267803444236 117462907275504 122257311654096 124372490056416 124804338980223 129448918221984 132145770684942 137539475610858 142633530263112 151023737925648 160462721546001 166405785306964 176194360913256 183385967481144 186558735084624 190178040350816 193592367825696 198218656027413 213950295394668 226535606888472 234925814551008 244514623308192 249608677960446 264291541369884 275078951221716 285267060526224 302047475851296 320925443092002 332811570613928 352388721826512 366771934962288 373117470169248 374413016940669 396437312054826 427900590789336 453071213776944 481388164638003 499217355920892 528583082739768 550157902443432 570534121052448 641850886184004 665623141227856 704777443653024 733543869924576 748826033881338 792874624109652 855801181578672 906142427553888 962776329276006 998434711841784 1057166165479536 1100315804886864 1123239050822007 1283701772368008 1331246282455712 1497652067762676 1585749248219304 1711602363157344 1925552658552012 1996869423683568 2114332330959072 2200631609773728 2246478101644014 2567403544736016 2995304135525352 3171498496438608 3369717152466021 3851105317104024 3993738847367136 4492956203288028 5134807089472032 5990608271050704 6342996992877216 6739434304932042 7702210634208048 8985912406576056 11981216542101408 13478868609864084 15404421268416096 17971824813152112 26957737219728168 35943649626304224 53915474439456336 107830948878912672
- Sum of all divisors σ(n): 392660547276690000
- Sum of proper divisors (its aliquot sum) s(n): 284829598397777328
- 107830948878912672 is an abundant number, because the sum of its proper divisors (284829598397777328) is greater than itself. Its abundance is 176998649518864656
Bases of 107830948878912672
- Binary: 1011111110001011110101101001110111011100010001100101000002
- Hexadecimal: 0x17F17AD3BB88CA0
- Base-36: THQVQ1TWQ00
Squares and roots of 107830948878912672
- 107830948878912672 squared (1078309488789126722) is 11627513536126678034433597002179584
- 107830948878912672 cubed (1078309488789126723) is 1253805817702940931297018529522723356722479997288448
-
The
square root of 107830948878912672 is 328376230.6850370557 -
The
cube root of 107830948878912672 is 475971.7118262305
Scales and comparisons
How big is 107830948878912672?- 107,830,948,878,912,672 seconds is equal to 3,428,690,631 years, 16 weeks, 6 days, 5 hours, 31 minutes, 12 seconds.
-
To count from 1 to 107,830,948,878,912,672 would take you about ten billion, two hundred eighty-six million, seventy-one thousand, eight hundred ninety-three 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 107830948878912672 cubic inches would be around 39664.3 feet tall.
Recreational maths with 107830948878912672
- 107830948878912672 backwards is 276219878849038701
- The number of decimal digits it has is: 18
- The sum of 107830948878912672's digits is 90
- More coming soon!
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"Number 107830948878912672 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 107830948878912672 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/107830948878912672/
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Numbermatics. 2024. "Number 107830948878912672 - Facts about the integer". https://numbermatics.com/n/107830948878912672/
The information we have on file for 107830948878912672 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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