137948345480407680
137,948,345,480,407,680 is an even composite number composed of five prime numbers multiplied together.
What does the number 137948345480407680 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2400 divisors.
137948345480407680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 137948345480407680:
27 × 34 × 5 × 175 × 374
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 17 × 17 × 17 × 17 × 17 × 37 × 37 × 37 × 37)See below for interesting mathematical facts about the number 137948345480407680 from the Numbermatics database.
Names of 137948345480407680
- Cardinal: 137948345480407680 can be written as One hundred thirty-seven quadrillion, nine hundred forty-eight trillion, three hundred forty-five billion, four hundred eighty million, four hundred seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3794834548040768 × 1017
Factors of 137948345480407680
Divisors of 137948345480407680
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 37 40 45 48 51 54 60 64 68 72 74 80 81 85 90 96 102 108 111 120 128 135 136 144 148 153 160 162 170 180 185 192 204 216 222 240 255 270 272 288 289 296 306 320 324 333 340 360 370 384 405 408 432 444 459 480 510 540 544 555 576 578 592 612 629 640 648 666 680 720 740 765 810 816 864 867 888 918 960 999 1020 1080 1088 1110 1152 1156 1184 1224 1258 1296 1332 1360 1369 1377 1440 1445 1480 1530 1620 1632 1665 1728 1734 1776 1836 1887 1920 1998 2040 2160 2176 2220 2295 2312 2368 2448 2516 2592 2601 2664 2720 2738 2754 2880 2890 2960 2997 3060 3145 3240 3264 3330 3456 3468 3552 3672 3774 3996 4080 4107 4320 4335 4440 4590 4624 4736 4896 4913 4995 5032 5184 5202 5328 5440 5476 5508 5661 5760 5780 5920 5994 6120 6290 6480 6528 6660 6845 6885 6936 7104 7344 7548 7803 7992 8160 8214 8640 8670 8880 9180 9248 9435 9792 9826 9990 10064 10368 10404 10656 10693 10880 10952 11016 11322 11560 11840 11988 12240 12321 12580 12960 13005 13320 13690 13770 13872 14208 14688 14739 14985 15096 15606 15984 16320 16428 16983 17280 17340 17760 18360 18496 18870 19584 19652 19980 20128 20535 20808 21312 21386 21904 22032 22644 23120 23273 23409 23680 23976 24480 24565 24642 25160 25920 26010 26640 27380 27540 27744 28305 29376 29478 29970 30192 31212 31968 32079 32640 32856 33966 34680 35520 36720 36963 36992 37740 39015 39304 39960 40256 41070 41616 42624 42772 43808 44064 44217 45288 46240 46546 46818 47952 48960 49130 49284 50320 50653 50949 51840 52020 53280 53465 54760 55080 55488 56610 58752 58956 59940 60384 61605 62424 63936 64158 65712 67932 69360 69819 71040 73440 73695 73926 75480 78030 78608 79920 80512 82140 83232 83521 84915 85544 87616 88128 88434 90576 92480 93092 93636 95904 96237 97920 98260 98568 100640 101306 101898 104040 106560 106930 109520 110160 110889 110976 113220 116365 117045 117912 119880 120768 123210 124848 127872 128316 131424 132651 135864 138720 139638 146880 147390 147852 150960 151959 156060 157216 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4679705050560 4695954026430 4873638773376 4972186616220 5009017628192 5038288731936 5178241196712 5303665723968 5322081229954 5482843620048 5598098591040 5615646060672 5635144831716 5753601329680 5825521346301 5892961915520 5927398508160 5966623939464 6092048466720 6261272035240 6297860914920 6450404258880 6472801495890 6629582154960 6717718309248 6853554525060 6904321595616 7019557575840 7043931039645 7310458160064 7458279924330 7513526442288 7767361795068 7955498585952 7983121844931 8122731288960 8397147886560 8452717247574 8630401994520 8839442873280 9138072700080 9205762127488 9359410101120 9391908052860 9709202243835 9944373232440 10018035256384 10076577463872 10356482393424 10607331447936 10644162459908 10965687240096 11196197182080 11270289663432 11507202659360 11651042692602 11933247878928 12184096933440 12522544070480 12595721829840 12679075871361 12900808517760 12945602991780 13259164309920 13305203074885 13707109050120 13808643191232 14039115151680 14087862079290 14620916320128 14916559848660 15027052884576 15534723590136 15910997171904 15966243689862 16794295773120 16905434495148 17260803989040 17678885746560 18276145400160 18783816105720 19418404487670 19888746464880 20036070512768 20153154927744 20712964786848 21131793118935 21288324919816 21931374480192 22540579326864 23014405318720 23302085385204 23866495757856 23949365534793 24368193866880 25045088140960 25191443659680 25358151742722 25891205983560 26518328619840 26610406149770 27414218100240 27617286382464 28078230303360 28175724158580 29127606731505 29833119697320 30054105769152 31069447180272 31821994343808 31932487379724 33588591546240 33810868990296 34521607978080 36552290800320 37567632211440 38836808975340 39777492929760 39915609224655 41425929573696 42263586237870 42576649839632 43862748960384 45081158653728 46028810637440 46604170770408 47732991515712 47898731069586 50090176281920 50382887319360 50716303485444 51782411967120 53036657239680 53220812299540 54828436200480 56351448317160 58255213463010 59666239394640 60108211538304 62138894360544 63395379356805 63864974759448 67621737980592 69043215956160 71848096604379 73104581600640 75135264422880 77673617950680 79554985859520 79831218449310 82851859147392 84527172475740 85153299679264 90162317307456 93208341540816 95465983031424 95797462139172 100180352563840 100765774638720 101432606970888 103564823934240 106441624599080 109656872400960 112702896634320 116510426926020 119332478789280 119746827673965 124277788721088 126790758713610 127729949518896 135243475961184 138086431912320 143696193208758 150270528845760 155347235901360 159109971719040 159662436898620 169054344951480 170306599358528 180324634614912 186416683081632 191594924278344 202865213941776 207129647868480 212883249198160 215544289813137 219313744801920 225405793268640 233020853852040 238664957578560 239493655347930 248555577442176 253581517427220 255459899037792 270486951922368 287392386417516 300541057691520 310694471802720 319324873797240 338108689902960 340613198717056 359240483021895 372833366163264 383189848556688 405730427883552 414259295736960 425766498396320 431088579626274 450811586537280 466041707704080 477329915157120 478987310695860 507163034854440 510919798075584 540973903844736 574784772835032 621388943605440 638649747594480 676217379805920 718480966043790 745666732326528 766379697113376 811460855767104 851532996792640 862177159252548 901623173074560 932083415408160 957974621391720 1014326069708880 1021839596151168 1077721449065685 1149569545670064 1242777887210880 1277299495188960 1352434759611840 1436961932087580 1532759394226752 1622921711534208 1703065993585280 1724354318505096 1864166830816320 1915949242783440 2028652139417760 2155442898131370 2299139091340128 2554598990377920 2704869519223680 2873923864175160 3065518788453504 3448708637010192 3728333661632640 3831898485566880 4057304278835520 4310885796262740 4598278182680256 5109197980755840 5747847728350320 6897417274020384 7663796971133760 8114608557671040 8621771592525480 9196556365360512 11495695456700640 13794834548040768 15327593942267520 17243543185050960 22991390913401280 27589669096081536 34487086370101920 45982781826802560 68974172740203840 137948345480407680
- Sum of all divisors σ(n): 537967998518490540
- Sum of proper divisors (its aliquot sum) s(n): 400019653038082860
- 137948345480407680 is an abundant number, because the sum of its proper divisors (400019653038082860) is greater than itself. Its abundance is 262071307557675180
Bases of 137948345480407680
- Binary: 1111010100001011101001010000100011011011001101010100000002
- Hexadecimal: 0x1EA174A11B66A80
- Base-36: 11QALV1MAW00
Squares and roots of 137948345480407680
- 137948345480407680 squared (1379483454804076802) is 19029746020781913993370739002982400
- 137948345480407680 cubed (1379483454804076803) is 2625121978479236778150905504403144248436287864832000
-
The
square root of 137948345480407680 is 371413981.2667364841 -
The
cube root of 137948345480407680 is 516700.4407553303
Scales and comparisons
How big is 137948345480407680?- 137,948,345,480,407,680 seconds is equal to 4,386,330,684 years, 1 week, 3 days, 4 hours, 48 minutes.
-
To count from 1 to 137,948,345,480,407,680 would take you about thirteen billion, one hundred fifty-eight million, nine hundred ninety-two thousand and fifty-two 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 137948345480407680 cubic inches would be around 43058.4 feet tall.
Recreational maths with 137948345480407680
- 137948345480407680 backwards is 086704084543849731
- 137948345480407680 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137948345480407680's digits is 81
- More coming soon!
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"Number 137948345480407680 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 137948345480407680 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/137948345480407680/
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The information we have on file for 137948345480407680 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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