10130940864000
10,130,940,864,000 is an even composite number composed of six prime numbers multiplied together.
10130940864000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 10130940864000:
29 × 34 × 53 × 112 × 31 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 31 × 521)See below for interesting mathematical facts about the number 10130940864000 from the Numbermatics database.
Names of 10130940864000
- Cardinal: 10130940864000 can be written as Ten trillion, one hundred thirty billion, nine hundred forty million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.0130940864 × 1013
Factors of 10130940864000
Divisors of 10130940864000
- Number of divisors d(n): 2400
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 31 32 33 36 40 44 45 48 50 54 55 60 62 64 66 72 75 80 81 88 90 93 96 99 100 108 110 120 121 124 125 128 132 135 144 150 155 160 162 165 176 180 186 192 198 200 216 220 225 240 242 248 250 256 264 270 275 279 288 297 300 310 320 324 330 341 352 360 363 372 375 384 396 400 405 432 440 450 465 480 484 495 496 500 512 521 528 540 550 558 576 594 600 605 620 640 648 660 675 682 704 720 726 744 750 768 775 792 800 810 825 837 864 880 891 900 930 960 968 990 992 1000 1023 1042 1056 1080 1089 1100 1116 1125 1152 1188 1200 1210 1240 1280 1296 1320 1350 1364 1375 1395 1408 1440 1452 1485 1488 1500 1536 1550 1563 1584 1600 1620 1650 1674 1705 1728 1760 1782 1800 1815 1860 1920 1936 1980 1984 2000 2025 2046 2084 2112 2160 2178 2200 2232 2250 2304 2325 2376 2400 2420 2475 2480 2511 2560 2592 2605 2640 2700 2728 2750 2790 2816 2880 2904 2970 2976 3000 3025 3069 3100 3126 3168 3200 3240 3267 3300 3348 3375 3410 3456 3520 3564 3600 3630 3720 3751 3840 3872 3875 3960 3968 4000 4050 4092 4125 4168 4185 4224 4320 4356 4400 4455 4464 4500 4608 4650 4689 4752 4800 4840 4950 4960 5022 5115 5184 5210 5280 5400 5445 5456 5500 5580 5632 5731 5760 5808 5940 5952 6000 6050 6138 6200 6252 6336 6400 6480 6534 6600 6696 6750 6820 6912 6975 7040 7128 7200 7260 7425 7440 7502 7680 7744 7750 7815 7920 7936 8000 8100 8184 8250 8336 8370 8448 8525 8640 8712 8800 8910 8928 9000 9075 9207 9300 9378 9504 9600 9680 9801 9900 9920 10044 10125 10230 10368 10420 10560 10800 10890 10912 11000 11160 11253 11462 11520 11616 11625 11880 11904 12000 12100 12276 12375 12400 12504 12555 12672 12800 12960 13025 13068 13200 13392 13500 13640 13824 13950 14067 14080 14256 14400 14520 14850 14880 15004 15125 15345 15488 15500 15630 15840 15872 16000 16151 16200 16335 16368 16500 16672 16740 16896 17050 17193 17280 17424 17600 17820 17856 18000 18150 18414 18600 18755 18756 19008 19200 19360 19602 19800 19840 20088 20250 20460 20736 20840 20925 21120 21600 21780 21824 22000 22275 22320 22506 22924 23040 23232 23250 23445 23760 23808 24000 24200 24552 24750 24800 25008 25110 25344 25575 25920 26050 26136 26400 26784 27000 27225 27280 27621 27900 28134 28160 28512 28655 28800 29040 29700 29760 30008 30250 30690 30976 31000 31260 31680 32000 32302 32400 32670 32736 33000 33344 33480 33759 34100 34386 34560 34848 34875 35200 35640 35712 36000 36300 36828 37125 37200 37510 37512 38016 38400 38720 39075 39204 39600 39680 40176 40500 40920 41472 41680 41850 42201 42240 42625 43200 43560 43648 44000 44550 44640 45012 45375 45848 46035 46464 46500 46890 47520 47616 48000 48400 48453 49005 49104 49500 49600 50016 50220 50688 51150 51579 51840 52100 52272 52800 53568 54000 54450 54560 55242 55800 56265 56268 57024 57310 57600 58080 59400 59520 60016 60500 61380 61952 62000 62520 62775 63041 63360 64000 64604 64800 65125 65340 65472 66000 66688 66960 67518 68200 68772 69120 69696 69750 70335 70400 71280 71424 72000 72600 73656 74250 74400 75020 75024 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1125360 1134738 1140480 1146200 1150875 1161600 1162872 1172250 1178496 1188000 1190400 1200320 1200384 1211325 1215324 1225125 1227600 1237896 1250400 1254528 1255500 1260820 1267200 1285632 1289475 1292080 1296000 1306800 1308231 1309440 1333760 1339200 1350360 1350432 1364000 1375440 1381050 1393920 1406625 1406700 1421288 1425600 1432750 1440384 1452000 1453590 1467136 1473120 1488000 1500400 1500480 1512984 1519155 1534500 1547370 1548800 1550496 1563000 1568160 1571328 1576025 1584000 1598949 1607040 1615100 1620432 1633500 1636800 1650528 1667200 1672704 1674000 1687950 1688040 1702107 1719300 1728000 1742400 1744308 1758375 1767744 1776610 1782000 1785600 1800480 1800576 1833920 1841400 1856844 1875500 1875600 1891230 1900800 1920512 1936000 1938120 1954271 1960200 1964160 1984000 2000640 2008800 2017312 2018875 2025540 2046000 2063160 2067328 2084000 2090880 2110050 2112000 2131932 2142720 2149125 2160576 2178000 2180385 2182400 2200704 2209680 2232000 2250600 2250720 2269476 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719527050 720192000 726232320 732851625 742737600 750440064 756492000 767495520 775248000 777807360 781708400 791479755 799474500 806924800 810216000 817011360 818661888 825264000 837267840 844245072 851053500 852772800 871478784 872154000 879421950 883872000 900288000 907790400 920994624 928422000 930297600 938050080 959369400 972259200 977135500 990316800 1000586752 1008656000 1021264200 1023327360 1033664000 1046584800 1055306340 1065966000 1080288000 1089348480 1100352000 1116357120 1125660096 1134738000 1137030400 1151243280 1162872000 1172562600 1188380160 1199211750 1210387200 1215324000 1227992832 1237896000 1250733440 1266367608 1276580250 1279159200 1296345600 1307218176 1308231000 1319132925 1350432000 1361685600 1364436480 1395446400 1407075120 1421288000 1439054100 1452464640 1465703250 1485475200 1500880128 1512984000 1534991040 1550496000 1563416800 1582959510 1598949000 1620432000 1634022720 1650528000 1674535680 1688490144 1702107000 1705545600 1744308000 1758843900 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5232924000 5276531700 5446742400 5581785600 5628300480 5685152000 5756216400 5862813000 5941900800 6051936000 6139964160 6253667200 6331838040 6395796000 6481728000 6536090880 6595664625 6753960576 6808428000 6822182400 6977232000 7035375600 7195270500 7262323200 7367956992 7427376000 7504400640 7674955200 7817084000 7914797550 8170113600 8372678400 8442450720 8527728000 8794219500 9005280768 9077904000 9209946240 9302976000 9380500800 9593694000 9722592000 9903168000 10130940864 10212642000 10233273600 10465848000 10553063400 10893484800 11256600960 11370304000 11512432800 11725626000 12103872000 12279928320 12507334400 12663676080 12791592000 13072181760 13191329250 13507921152 13616856000 13954464000 14070751200 14390541000 14854752000 15008801280 15349910400 15634168000 15829595100 16340227200 16745356800 16884901440 17055456000 17588439000 18155808000 18419892480 18761001600 19187388000 19445184000 19786993875 20261881728 20425284000 20466547200 20931696000 21106126800 21786969600 22513201920 23024865600 23451252000 25014668800 25327352160 25583184000 26382658500 27015842304 27233712000 27908928000 28141502400 28781082000 29709504000 30699820800 31268336000 31659190200 32680454400 33769802880 34110912000 35176878000 36311616000 36839784960 37522003200 38374776000 39573987750 40523763456 40850568000 41863392000 42212253600 45026403840 46049731200 46902504000 50654704320 51166368000 52765317000 54467424000 56283004800 57562164000 61399641600 62536672000 63318380400 65360908800 67539605760 70353756000 75044006400 76749552000 79147975500 81047526912 81701136000 83726784000 84424507200 92099462400 93805008000 101309408640 102332736000 105530634000 108934848000 112566009600 115124328000 125073344000 126636760800 135079211520 140707512000 153499104000 158295951000 163402272000 168849014400 184198924800 187610016000 202618817280 211061268000 225132019200 230248656000 253273521600 281415024000 306998208000 316591902000 326804544000 337698028800 375220032000 405237634560 422122536000 460497312000 506547043200 562830048000 633183804000 675396057600 844245072000 920994624000 1013094086400 1125660096000 1266367608000 1688490144000 2026188172800 2532735216000 3376980288000 5065470432000 10130940864000
- Sum of all divisors σ(n): 42900042721536
- Sum of proper divisors (its aliquot sum) s(n): 32769101857536
- 10130940864000 is an abundant number, because the sum of its proper divisors (32769101857536) is greater than itself. Its abundance is 22638160993536
Bases of 10130940864000
- Binary: 100100110110110010110010000110100110000000002
- Hexadecimal: 0x936CB21A600
- Base-36: 3LA38M800
Squares and roots of 10130940864000
- 10130940864000 squared (101309408640002) is 102635962789865066496000000
- 10130940864000 cubed (101309408640003) is 1039798869543827447210403692544000000000
-
The
square root of 10130940864000 is 3182913.8951595909 -
The
cube root of 10130940864000 is 21637.9739414223
Scales and comparisons
How big is 10130940864000?- 10,130,940,864,000 seconds is equal to 322,132 years, 30 weeks, 2 days.
-
To count from 1 to 10,130,940,864,000 would take you about eight hundred five thousand, three hundred thirty-one 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 10130940864000 cubic inches would be around 1803.2 feet tall.
Recreational maths with 10130940864000
- 10130940864000 backwards is 00046804903101
- 10130940864000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10130940864000's digits is 36
- More coming soon!
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