136964442703132800
136,964,442,703,132,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 136964442703132800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 648 divisors.
136964442703132800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 136964442703132800:
27 × 32 × 52 × 72 × 3115372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 311537 × 311537)See below for interesting mathematical facts about the number 136964442703132800 from the Numbermatics database.
Names of 136964442703132800
- Cardinal: 136964442703132800 can be written as One hundred thirty-six quadrillion, nine hundred sixty-four trillion, four hundred forty-two billion, seven hundred three million, one hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.369644427031328 × 1017
Factors of 136964442703132800
Divisors of 136964442703132800
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 252 280 288 294 300 315 320 336 350 360 384 392 400 420 441 448 450 480 490 504 525 560 576 588 600 630 640 672 700 720 735 784 800 840 882 896 900 960 980 1008 1050 1120 1152 1176 1200 1225 1260 1344 1400 1440 1470 1568 1575 1600 1680 1764 1800 1920 1960 2016 2100 2205 2240 2352 2400 2450 2520 2688 2800 2880 2940 3136 3150 3200 3360 3528 3600 3675 3920 4032 4200 4410 4480 4704 4800 4900 5040 5600 5760 5880 6272 6300 6720 7056 7200 7350 7840 8064 8400 8820 9408 9600 9800 10080 11025 11200 11760 12600 13440 14112 14400 14700 15680 16800 17640 18816 19600 20160 22050 22400 23520 25200 28224 28800 29400 31360 33600 35280 39200 40320 44100 47040 50400 56448 58800 67200 70560 78400 88200 94080 100800 117600 141120 156800 176400 201600 235200 282240 311537 352800 470400 623074 705600 934611 1246148 1411200 1557685 1869222 2180759 2492296 2803833 3115370 3738444 4361518 4673055 4984592 5607666 6230740 6542277 7476888 7788425 8723036 9346110 9969184 10903795 11215332 12461480 13084554 14019165 14953776 15265313 15576850 17446072 18692220 19626831 19938368 21807590 22430664 23365275 24922960 26169108 28038330 29907552 30530626 31153700 32711385 34892144 37384440 39253662 39876736 43615180 44861328 45795939 46730550 49845920 52338216 54518975 56076660 59815104 61061252 62307400 65422770 69784288 70095825 74768880 76326565 78507324 87230360 89722656 91591878 93461100 98134155 99691840 104676432 109037950 112153320 119630208 122122504 124614800 130845540 137387817 139568576 140191650 149537760 152653130 157014648 163556925 174460720 179445312 183183756 186922200 196268310 199383680 209352864 218075900 224306640 228979695 244245008 249229600 261691080 274775634 279137152 280383300 299075520 305306260 314029296 327113850 348921440 358890624 366367512 373844400 381632825 392536620 418705728 436151800 448613280 457959390 488490016 490670775 498459200 523382160 549551268 560766600 598151040 610612520 628058592 654227700 686939085 697842880 732735024 747688800 763265650 785073240 837411456 872303600 897226560 915918780 976980032 981341550 996918400 1046764320 1099102536 1121533200 1144898475 1221225040 1256117184 1308455400 1373878170 1395685760 1465470048 1495377600 1526531300 1570146480 1744607200 1794453120 1831837560 1953960064 1962683100 2093528640 2198205072 2243066400 2289796950 2442450080 2512234368 2616910800 2747756340 2930940096 2990755200 3053062600 3140292960 3434695425 3489214400 3663675120 3925366200 4187057280 4396410144 4486132800 4579593900 4884900160 5233821600 5495512680 5861880192 6106125200 6280585920 6869390850 6978428800 7327350240 7850732400 8792820288 8972265600 9159187800 9769800320 10467643200 10991025360 12212250400 12561171840 13738781700 14654700480 15701464800 17585640576 18318375600 20935286400 21982050720 24424500800 27477563400 29309400960 31402929600 36636751200 43964101440 48849001600 54955126800 62805859200 73273502400 87928202880 97055302369 109910253600 146547004800 194110604738 219820507200 291165907107 388221209476 439641014400 485276511845 582331814214 679387116583 776442418952 873497721321 970553023690 1164663628428 1358774233166 1455829535535 1552884837904 1746995442642 1941106047380 2038161349749 2329327256856 2426382559225 2717548466332 2911659071070 3105769675808 3396935582915 3493990885284 3882212094760 4076322699498 4367488606605 4658654513712 4755709816081 4852765118450 5435096932664 5823318142140 6114484049247 6211539351616 6793871165830 6987981770568 7279147677675 7764424189520 8152645398996 8734977213210 9317309027424 9511419632162 9705530236900 10190806748745 10870193865328 11646636284280 12228968098494 12423078703232 13587742331660 13975963541136 14267129448243 14558295355350 15528848379040 16305290797992 16984677914575 17469954426420 18634618054848 19022839264324 19411060473800 20381613497490 21740387730656 21837443033025 23293272568560 23778549080405 24457936196988 27175484663320 27951927082272 28534258896486 29116590710700 30572420246235 31057696758080 32610581595984 33969355829150 34939908852840 37269236109696 38045678528648 38822120947600 40763226994980 42801388344729 43480775461312 43674886066050 46586545137120 47557098160810 48915872393976 50954033743725 54350969326640 55903854164544 57068517792972 58233181421400 61144840492470 62115393516160 65221163191968 67938711658300 69879817705680 71335647241215 76091357057296 77644241895200 81526453989960 85602776689458 86961550922624 87349772132100 93173090274240 95114196321620 97831744787952 101908067487450 108701938653280 111807708329088 114137035585944 116466362842800 118892745402025 122289680984940 130442326383936 135877423316600 139759635411360 142671294482430 152182714114592 152862101231175 155288483790400 163052907979920 171205553378916 174699544264200 186346180548480 190228392643240 195663489575904 203816134974900 214006941723645 217403877306560 228274071171888 232932725685600 237785490804050 244579361969880 260884652767872 271754846633200 279519270822720 285342588964860 304365428229184 305724202462350 310576967580800 326105815959840 342411106757832 349399088528400 356678236206075 380456785286480 391326979151808 407632269949800 428013883447290 434807754613120 456548142343776 465865451371200 475570981608100 489158723939760 543509693266400 559038541645440 570685177929720 608730856458368 611448404924700 652211631919680 684822213515664 698798177056800 713356472412150 760913570572960 782653958303616 815264539899600 856027766894580 913096284687552 931730902742400 951141963216200 978317447879520 1070034708618225 1087019386532800 1141370355859440 1222896809849400 1304423263839360 1369644427031328 1397596354113600 1426712944824300 1521827141145920 1630529079799200 1712055533789160 1826192569375104 1902283926432400 1956634895759040 2140069417236450 2174038773065600 2282740711718880 2445793619698800 2739288854062656 2795192708227200 2853425889648600 3043654282291840 3261058159598400 3424111067578320 3804567852864800 3913269791518080 4280138834472900 4565481423437760 4891587239397600 5478577708125312 5706851779297200 6522116319196800 6848222135156640 7609135705729600 8560277668945800 9130962846875520 9783174478795200 11413703558594400 13696444270313280 15218271411459200 17120555337891600 19566348957590400 22827407117188800 27392888540626560 34241110675783200 45654814234377600 68482221351566400 136964442703132800
- Sum of all divisors σ(n): 568513449299712735
- Sum of proper divisors (its aliquot sum) s(n): 431549006596579935
- 136964442703132800 is an abundant number, because the sum of its proper divisors (431549006596579935) is greater than itself. Its abundance is 294584563893447135
Bases of 136964442703132800
- Binary: 1111001101001100001101111010110100010110111111000100000002
- Hexadecimal: 0x1E6986F5A2DF880
- Base-36: 11GLUCCKBVK0
Squares and roots of 136964442703132800
- 136964442703132800 squared (1369644427031328002) is 18759258564979747702190934435840000
- 136964442703132800 cubed (1369644427031328003) is 2569351394876421886049555457598488265768599552000000
-
The
square root of 136964442703132800 is 370087074.4880626063 -
The
cube root of 136964442703132800 is 515469.0704848391
Scales and comparisons
How big is 136964442703132800?- 136,964,442,703,132,800 seconds is equal to 4,355,045,619 years, 6 weeks, 2 days, 8 hours.
-
To count from 1 to 136,964,442,703,132,800 would take you about thirteen billion, sixty-five million, one hundred thirty-six thousand, eight hundred fifty-seven 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 136964442703132800 cubic inches would be around 42955.8 feet tall.
Recreational maths with 136964442703132800
- 136964442703132800 backwards is 008231307244469631
- 136964442703132800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 136964442703132800's digits is 63
- More coming soon!
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The information we have on file for 136964442703132800 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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