146969867968000
146,969,867,968,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 146969867968000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
146969867968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 146969867968000:
29 × 53 × 7 × 112 × 331 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 11 × 331 × 8191)See below for interesting mathematical facts about the number 146969867968000 from the Numbermatics database.
Names of 146969867968000
- Cardinal: 146969867968000 can be written as One hundred forty-six trillion, nine hundred sixty-nine billion, eight hundred sixty-seven million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.46969867968 × 1014
Factors of 146969867968000
Divisors of 146969867968000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 64 70 77 80 88 100 110 112 121 125 128 140 154 160 175 176 200 220 224 242 250 256 275 280 308 320 331 350 352 385 400 440 448 484 500 512 550 560 605 616 640 662 700 704 770 800 847 875 880 896 968 1000 1100 1120 1210 1232 1280 1324 1375 1400 1408 1540 1600 1655 1694 1750 1760 1792 1925 1936 2000 2200 2240 2317 2420 2464 2560 2648 2750 2800 2816 3025 3080 3200 3310 3388 3500 3520 3584 3641 3850 3872 4000 4235 4400 4480 4634 4840 4928 5296 5500 5600 5632 6050 6160 6400 6620 6776 7000 7040 7282 7700 7744 8000 8191 8275 8470 8800 8960 9268 9625 9680 9856 10592 11000 11200 11585 12100 12320 12800 13240 13552 14000 14080 14564 15125 15400 15488 16000 16382 16550 16940 17600 17920 18205 18536 19250 19360 19712 21175 21184 22000 22400 23170 24200 24640 25487 26480 27104 28000 28160 29128 30250 30800 30976 32000 32764 33100 33880 35200 36410 37072 38500 38720 39424 40051 40955 41375 42350 42368 44000 44800 46340 48400 49280 50974 52960 54208 56000 57337 57925 58256 60500 61600 61952 64000 65528 66200 67760 70400 72820 74144 77000 77440 80102 81910 82750 84700 84736 88000 89600 90101 91025 92680 96800 98560 101948 105875 105920 108416 112000 114674 115850 116512 121000 123200 127435 131056 132400 135520 140800 145640 148288 154000 154880 160204 163820 165500 169400 169472 176000 180202 182050 185360 193600 197120 200255 203896 204775 211750 211840 216832 224000 229348 231700 233024 242000 246400 254870 262112 264800 271040 280357 286685 289625 291280 296576 308000 309760 320408 327640 331000 338800 352000 360404 364100 370720 387200 400510 407792 409550 423500 423680 433664 448000 450505 455125 458696 463400 466048 484000 492800 509740 524224 529600 542080 560714 573370 579250 582560 593152 616000 630707 637175 640816 655280 662000 677600 704000 720808 728200 741440 774400 801020 815584 819100 847000 847360 901010 910250 917392 926800 932096 968000 985600 991111 1001275 1019480 1023875 1048448 1059200 1084160 1121428 1146740 1158500 1165120 1186304 1232000 1261414 1274350 1281632 1310560 1324000 1355200 1401785 1433425 1441616 1456400 1482880 1548800 1602040 1631168 1638200 1694000 1802020 1820500 1834784 1853600 1864192 1936000 1982222 2002550 2038960 2047750 2096896 2118400 2168320 2242856 2252525 2293480 2317000 2330240 2464000 2522828 2548700 2563264 2621120 2648000 2710400 2711221 2803570 2866850 2883232 2912800 2965760 3153535 3185875 3204080 3262336 3276400 3388000 3604040 3641000 3669568 3707200 3872000 3964444 4005100 4077920 4095500 4193792 4236800 4485712 4505050 4586960 4634000 4660480 4928000 4955555 5006375 5045656 5097400 5126528 5242240 5296000 5420800 5422442 5607140 5733700 5766464 5825600 5931520 6307070 6371750 6408160 6524672 6552800 6776000 6937777 7008925 7167125 7208080 7282000 7339136 7414400 7744000 7928888 8010200 8155840 8191000 8971424 9010100 9173920 9268000 9320960 9911110 10012750 10091312 10194800 10253056 10484480 10592000 10841600 10844884 11214280 11262625 11467400 11532928 11651200 12614140 12743500 12816320 13049344 13105600 13552000 13556105 13875554 14017850 14334250 14416160 14564000 14678272 14828800 15767675 15857776 16020400 16311680 16382000 17942848 18020200 18347840 18536000 18978547 19822220 20025500 20182624 20389600 20506112 20968960 21184000 21689768 22428560 22525250 22934800 23065856 23302400 24777775 25228280 25487000 25632640 26211200 27104000 27112210 27751108 28035700 28668500 28832320 29128000 29356544 29657600 29823431 31535350 31715552 32040800 32623360 32764000 34688885 35044625 35885696 36040400 36695680 37072000 37957094 39644440 40051000 40365248 40779200 43379536 44857120 45050500 45869600 46131712 46604800 49555550 50456560 50974000 51265280 52422400 54208000 54224420 55502216 56071400 57337000 57664640 58256000 59646862 63070700 63431104 64081600 65246720 65528000 67780525 69377770 70089250 71771392 72080800 73391360 74144000 75914188 78838375 79288880 80102000 80730496 81558400 86759072 89714240 90101000 91739200 94892735 99111100 100913120 101948000 102530560 104844800 108448840 111004432 112142800 114674000 115329280 116512000 119293724 123888875 126141400 126862208 128163200 131056000 135561050 138755540 140178500 143542784 144161600 146782720 148288000 149117155 151828376 157676750 158577760 160204000 161460992 163116800 173444425 173518144 179428480 180202000 183478400 189785470 198222200 201826240 203896000 208764017 216897680 222008864 224285600 229348000 230658560 233024000 238587448 247777750 252282800 253724416 256326400 262112000 271122100 277511080 280357000 288323200 298234310 303656752 315353500 317155520 320408000 322921984 326233600 328057741 338902625 346888850 347036288 358856960 360404000 366956800 379570940 396444400 403652480 407792000 417528034 433795360 444017728 448571200 458696000 474463675 477174896 495555500 504565600 507448832 512652800 524224000 542244200 555022160 560714000 576646400 596468620 607313504 630707000 634311040 640816000 656115482 677805250 693777700 694072576 717713920 720808000 733913600 745585775 759141880 792888800 807304960 815584000 835056068 867222125 867590720 888035456 897142400 917392000 948927350 954349792 991111000 1009131200 1043820085 1084488400 1110044320 1121428000 1153292800 1192937240 1214627008 1261414000 1268622080 1281632000 1312230964 1355610500 1387555400 1388145152 1441616000 1491171550 1518283760 1585777600 1614609920 1631168000 1640288705 1670112136 1734444250 1735181440 1776070912 1794284800 1834784000 1897854700 1908699584 1982222000 2018262400 2087640170 2168976800 2220088640 2242856000 2296404187 2372318375 2385874480 2429254016 2522828000 2537244160 2563264000 2624461928 2711221000 2775110800 2883232000 2982343100 3036567520 3171555200 3280577410 3340224272 3468888500 3470362880 3552141824 3588569600 3669568000 3727928875 3795709400 3817399168 3964444000 4036524800 4175280340 4337953600 4440177280 4485712000 4592808374 4744636750 4771748960 4858508032 5045656000 5219100425 5248923856 5422442000 5550221600 5766464000 5964686200 6073135040 6343110400 6561154820 6680448544 6937777000 6940725760 7455857750 7591418800 7634798336 7928888000 8073049600 8201443525 8350560680 8675907200 8880354560 8971424000 9185616748 9489273500 9543497920 9717016064 10091312000 10438200850 10497847712 10844884000 11100443200 11482020935 11929372400 12146270080 12686220800 13122309640 13360897088 13875554000 14911715500 15182837600 15269596672 15857776000 16402887050 16701121360 17351814400 17760709120 17942848000 18371233496 18978547000 19086995840 20182624000 20876401700 20995695424 21689768000 22200886400 22964041870 23858744800 24292540160 26095502125 26244619280 26721794176 27751108000 29823431000 30365675200 31715552000 32805774100 33402242720 34703628800 36742466992 37957094000 38173991680 40365248000 41007217625 41752803400 41991390848 43379536000 44401772800 45928083740 47717489600 48585080320 52191004250 52489238560 53443588352 55502216000 57410104675 59646862000 60731350400 63431104000 65611548200 66804485440 73484933984 75914188000 76347983360 82014435250 83505606800 83982781696 86759072000 88803545600 91856167480 95434979200 104382008500 104978477120 106887176704 111004432000 114820209350 119293724000 121462700800 131223096400 133608970880 146969867968 151828376000 164028870500 167011213600 167965563392 173518144000 183712334960 190869958400 208764017000 209956954240 222008864000 229640418700 238587448000 242925401600 262446192800 267217941760 287050523375 293939735936 303656752000 328057741000 334022427200 367424669920 381739916800 417528034000 419913908480 444017728000 459280837400 477174896000 524892385600 534435883520 574101046750 587879471872 607313504000 656115482000 668044854400 734849339840 835056068000 839827816960 918561674800 954349792000 1049784771200 1148202093500 1175758943744 1214627008000 1312230964000 1336089708800 1469698679680 1670112136000 1837123349600 1908699584000 2099569542400 2296404187000 2624461928000 2672179417600 2939397359360 3340224272000 3674246699200 4199139084800 4592808374000 5248923856000 5878794718720 6680448544000 7348493398400 9185616748000 10497847712000 13360897088000 14696986796800 18371233496000 20995695424000 29393973593600 36742466992000 73484933984000 146969867968000
- Sum of all divisors σ(n): 461816969822208
- Sum of proper divisors (its aliquot sum) s(n): 314847101854208
- 146969867968000 is an abundant number, because the sum of its proper divisors (314847101854208) is greater than itself. Its abundance is 167877233886208
Bases of 146969867968000
- Binary: 1000010110101011000101101100010111011110000000002
- Hexadecimal: 0x85AB16C5DE00
- Base-36: 1G3H0WQL8G
Squares and roots of 146969867968000
- 146969867968000 squared (1469698679680002) is 21600142090531352449024000000
- 146969867968000 cubed (1469698679680003) is 3174570031135432372397530730463232000000000
-
The
square root of 146969867968000 is 12123112.9652412297 -
The
cube root of 146969867968000 is 52772.7146058915
Scales and comparisons
How big is 146969867968000?- 146,969,867,968,000 seconds is equal to 4,673,187 years, 10 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 146,969,867,968,000 would take you about eleven million, six hundred eighty-two thousand, nine hundred sixty-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 146969867968000 cubic inches would be around 4397.7 feet tall.
Recreational maths with 146969867968000
- 146969867968000 backwards is 000869768969641
- The number of decimal digits it has is: 15
- The sum of 146969867968000's digits is 79
- More coming soon!
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The information we have on file for 146969867968000 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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