127968497664000
127,968,497,664,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 127968497664000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2048 divisors.
127968497664000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 127968497664000:
215 × 3 × 53 × 7 × 293 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 29 × 29 × 29 × 61)See below for interesting mathematical facts about the number 127968497664000 from the Numbermatics database.
Names of 127968497664000
- Cardinal: 127968497664000 can be written as One hundred twenty-seven trillion, nine hundred sixty-eight billion, four hundred ninety-seven million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.27968497664 × 1014
Factors of 127968497664000
Divisors of 127968497664000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 50 56 58 60 61 64 70 75 80 84 87 96 100 105 112 116 120 122 125 128 140 145 150 160 168 174 175 183 192 200 203 210 224 232 240 244 250 256 280 290 300 305 320 336 348 350 366 375 384 400 406 420 427 435 448 464 480 488 500 512 525 560 580 600 609 610 640 672 696 700 725 732 750 768 800 812 840 841 854 870 875 896 915 928 960 976 1000 1015 1024 1050 1120 1160 1200 1218 1220 1280 1281 1344 1392 1400 1450 1464 1500 1525 1536 1600 1624 1680 1682 1708 1740 1750 1769 1792 1830 1856 1920 1952 2000 2030 2048 2100 2135 2175 2240 2320 2400 2436 2440 2523 2560 2562 2625 2688 2784 2800 2900 2928 3000 3045 3050 3072 3200 3248 3360 3364 3416 3480 3500 3538 3584 3625 3660 3712 3840 3904 4000 4060 4096 4200 4205 4270 4350 4480 4575 4640 4800 4872 4880 5046 5075 5120 5124 5250 5307 5376 5568 5600 5800 5856 5887 6000 6090 6100 6144 6400 6405 6496 6720 6728 6832 6960 7000 7076 7168 7250 7320 7424 7625 7680 7808 8000 8120 8192 8400 8410 8540 8700 8845 8960 9150 9280 9600 9744 9760 10092 10150 10240 10248 10500 10614 10675 10752 10875 11136 11200 11600 11712 11774 12000 12180 12200 12288 12383 12615 12800 12810 12992 13440 13456 13664 13920 14000 14152 14336 14500 14640 14848 15225 15250 15360 15616 16000 16240 16384 16800 16820 17080 17400 17661 17690 17920 18300 18560 19200 19488 19520 20184 20300 20480 20496 21000 21025 21228 21350 21504 21750 22272 22400 22875 23200 23424 23548 24000 24360 24389 24400 24576 24766 25230 25375 25600 25620 25984 26535 26880 26912 27328 27840 28000 28304 28672 29000 29280 29435 29696 30450 30500 30720 31232 32000 32025 32480 32768 33600 33640 34160 34800 35322 35380 35840 36600 37120 37149 38400 38976 39040 40368 40600 40960 40992 42000 42050 42456 42700 43008 43500 44225 44544 44800 45750 46400 46848 47096 48000 48720 48778 48800 49152 49532 50460 50750 51200 51240 51301 51968 53070 53375 53760 53824 54656 55680 56000 56608 57344 58000 58560 58870 59392 60900 61000 61440 61915 62464 63075 64000 64050 64960 67200 67280 68320 69600 70644 70760 71680 73167 73200 74240 74298 76125 76800 77952 78080 80736 81200 81920 81984 84000 84100 84912 85400 86016 87000 88305 88450 89088 89600 91500 92800 93696 94192 96000 97440 97556 97600 98304 99064 100920 101500 102400 102480 102602 103936 105125 106140 106750 107520 107648 109312 111360 112000 113216 114688 116000 117120 117740 118784 121800 121945 122000 122880 123830 124928 126150 128000 128100 129920 132675 134400 134560 136640 139200 141288 141520 143360 146334 146400 147175 148480 148596 152250 153600 153903 155904 156160 160125 161472 162400 163840 163968 168000 168200 169824 170723 170800 172032 174000 176610 176900 178176 179200 183000 185600 185745 187392 188384 192000 194880 195112 195200 198128 201840 203000 204800 204960 205204 207872 210250 212280 213500 215040 215296 218624 221125 222720 224000 226432 229376 232000 234240 235480 237568 243600 243890 244000 245760 247660 249856 252300 256000 256200 256505 259840 265350 268800 269120 273280 278400 282576 283040 286720 292668 292800 294350 296960 297192 304500 307200 307806 309575 311808 312320 315375 320250 322944 324800 327936 336000 336400 339648 341446 341600 344064 348000 353220 353800 356352 358400 359107 365835 366000 371200 371490 374784 376768 384000 389760 390224 390400 396256 403680 406000 409600 409920 410408 415744 420500 424560 427000 430080 430592 437248 441525 442250 445440 448000 452864 464000 468480 470960 475136 487200 487780 488000 491520 495320 499712 504600 512000 512169 512400 513010 519680 530700 537600 538240 546560 556800 565152 566080 573440 585336 585600 588700 593920 594384 609000 609725 614400 615612 619150 623616 624640 630750 640500 645888 649600 655872 663375 672000 672800 679296 682892 683200 688128 696000 706440 707600 712704 716800 718214 731670 732000 735875 742400 742980 749568 753536 768000 769515 779520 780448 780800 792512 807360 812000 819200 819840 820816 831488 841000 849120 853615 854000 860160 861184 874496 883050 884500 890880 896000 905728 928000 928725 936960 941920 950272 974400 975560 976000 990640 999424 1009200 1024000 1024338 1024800 1026020 1039360 1061400 1075200 1076480 1077321 1093120 1113600 1130304 1132160 1146880 1170672 1171200 1177400 1187840 1188768 1218000 1219450 1228800 1231224 1238300 1247232 1249280 1261500 1281000 1282525 1291776 1299200 1311744 1326750 1344000 1345600 1358592 1365784 1366400 1392000 1412880 1415200 1425408 1433600 1436428 1463340 1464000 1471750 1484800 1485960 1487729 1499136 1507072 1536000 1539030 1547875 1559040 1560896 1561600 1585024 1614720 1624000 1639680 1641632 1662976 1682000 1698240 1707230 1708000 1720320 1722368 1748992 1766100 1769000 1781760 1792000 1795535 1811456 1829175 1856000 1857450 1873920 1883840 1948800 1951120 1952000 1981280 1998848 2018400 2048000 2048676 2049600 2052040 2078720 2122800 2150400 2152960 2154642 2186240 2207625 2227200 2260608 2264320 2341344 2342400 2354800 2375680 2377536 2436000 2438900 2457600 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7617172480 7810577250 7879833600 7998031104 8194704000 8331282400 8391376896 8405155840 8618568000 8741017600 8825413632 8926374000 9042432000 9140606976 9193139200 9365376000 9510144000 9521465600 9849792000 9989734400 9997538880 10144153600 10334208000 10414103000 10489221120 10506444800 10664041472 10868736000 10926272000 11031767040 11425758720 11491424000 11767218176 11901832000 11987681280 12056576000 12187475968 12487168000 12496923600 12607733760 12680192000 13111526400 13133056000 13330051840 13789708800 13985628160 14282198400 14467891200 14709022720 14984601600 15216230400 15234344960 15621154500 15759667200 15996062208 16389408000 16662564800 16782753792 17237136000 17482035200 17650827264 17852748000 18084864000 18281213952 18386278400 18730752000 19020288000 19042931200 19699584000 19979468800 19995077760 20828206000 20978442240 21012889600 21328082944 21737472000 21852544000 22063534080 22851517440 22982848000 23803664000 24113152000 24374951936 24974336000 24993847200 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124969236000 126077337600 127968497664 131115264000 133300518400 137897088000 139856281600 142821984000 146249711616 147090227200 149846016000 152162304000 152343449600 157596672000 159960622080 166625648000 170624663552 174820352000 176508272640 182812139520 183862784000 190429312000 199950777600 209784422400 210128896000 213280829440 220635340800 228515174400 243749519360 249938472000 255936995328 262230528000 266601036800 275794176000 285643968000 294180454400 299692032000 304686899200 315193344000 319921244160 333251296000 341249327104 349640704000 365624279040 367725568000 380858624000 399901555200 419568844800 426561658880 441270681600 457030348800 499876944000 511873990656 524461056000 533202073600 551588352000 571287936000 609373798400 630386688000 639842488320 666502592000 699281408000 731248558080 735451136000 761717248000 799803110400 853123317760 882541363200 914060697600 999753888000 1023747981312 1048922112000 1066404147200 1103176704000 1142575872000 1218747596800 1279684976640 1333005184000 1470902272000 1523434496000 1599606220800 1706246635520 1828121395200 1999507776000 2097844224000 2132808294400 2206353408000 2285151744000 2559369953280 2666010368000 3046868992000 3199212441600 3656242790400 3999015552000 4265616588800 4412706816000 4570303488000 5118739906560 5332020736000 6093737984000 6398424883200 7998031104000 8531233177600 9140606976000 10664041472000 12796849766400 15996062208000 18281213952000 21328082944000 25593699532800 31992124416000 42656165888000 63984248832000 127968497664000
- Sum of all divisors σ(n): 512357285606400
- Sum of proper divisors (its aliquot sum) s(n): 384388787942400
- 127968497664000 is an abundant number, because the sum of its proper divisors (384388787942400) is greater than itself. Its abundance is 256420290278400
Bases of 127968497664000
- Binary: 111010001100010111111001101100010000000000000002
- Hexadecimal: 0x7462FCD88000
- Base-36: 19CZWZGKQO
Squares and roots of 127968497664000
- 127968497664000 squared (1279684976640002) is 16375936394381173456896000000
- 127968497664000 cubed (1279684976640003) is 2095603978230179778244374580690944000000000
-
The
square root of 127968497664000 is 11312316.1936006721 -
The
cube root of 127968497664000 is 50392.7072340457
Scales and comparisons
How big is 127968497664000?- 127,968,497,664,000 seconds is equal to 4,069,002 years, 20 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 127,968,497,664,000 would take you about ten million, one hundred seventy-two thousand, five hundred 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 127968497664000 cubic inches would be around 4199.4 feet tall.
Recreational maths with 127968497664000
- 127968497664000 backwards is 000466794869721
- The number of decimal digits it has is: 15
- The sum of 127968497664000's digits is 69
- More coming soon!
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Cite this page
MLA style:
"Number 127968497664000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 127968497664000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/127968497664000/
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The information we have on file for 127968497664000 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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