146125378152000
146,125,378,152,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 146125378152000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
146125378152000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 146125378152000:
26 × 32 × 53 × 132 × 2293
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 229 × 229 × 229)See below for interesting mathematical facts about the number 146125378152000 from the Numbermatics database.
Names of 146125378152000
- Cardinal: 146125378152000 can be written as One hundred forty-six trillion, one hundred twenty-five billion, three hundred seventy-eight million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.46125378152 × 1014
Factors of 146125378152000
Divisors of 146125378152000
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 130 144 150 156 160 169 180 192 195 200 208 225 229 234 240 250 260 288 300 312 320 325 338 360 375 390 400 416 450 458 468 480 500 507 520 576 585 600 624 650 676 687 720 750 780 800 832 845 900 916 936 960 975 1000 1014 1040 1125 1145 1170 1200 1248 1300 1352 1374 1440 1500 1521 1560 1600 1625 1690 1800 1832 1872 1950 2000 2028 2061 2080 2250 2290 2340 2400 2496 2535 2600 2704 2748 2880 2925 2977 3000 3042 3120 3250 3380 3435 3600 3664 3744 3900 4000 4056 4122 4160 4225 4500 4580 4680 4800 4875 5070 5200 5408 5496 5725 5850 5954 6000 6084 6240 6500 6760 6870 7200 7328 7488 7605 7800 8000 8112 8244 8450 8931 9000 9160 9360 9750 10140 10305 10400 10816 10992 11450 11700 11908 12000 12168 12480 12675 13000 13520 13740 14400 14625 14656 14885 15210 15600 16224 16488 16900 17175 17862 18000 18320 18720 19500 20280 20610 20800 21125 21984 22900 23400 23816 24000 24336 25350 26000 26793 27040 27480 28625 29250 29770 30420 31200 32448 32976 33800 34350 35724 36000 36640 37440 38025 38701 39000 40560 41220 42250 43968 44655 45800 46800 47632 48672 50700 51525 52000 52441 53586 54080 54960 57250 58500 59540 60840 62400 63375 65952 67600 68700 71448 72000 73280 74425 76050 77402 78000 81120 82440 84500 85875 89310 91600 93600 95264 97344 101400 103050 104000 104882 107172 109920 114500 116103 117000 119080 121680 126750 131904 133965 135200 137400 142896 148850 152100 154804 156000 157323 162240 164880 169000 171750 178620 183200 187200 190125 190528 193505 202800 206100 209764 214344 219840 223275 229000 232206 234000 238160 243360 253500 257625 262205 267930 270400 274800 285792 297700 304200 309608 312000 314646 329760 338000 343500 348309 357240 366400 372125 380250 387010 405600 412200 419528 428688 446550 458000 464412 468000 471969 476320 486720 507000 515250 524410 535860 549600 571584 580515 595400 608400 619216 629292 659520 669825 676000 681733 687000 696618 714480 744250 760500 774020 786615 811200 824400 839056 857376 893100 916000 928824 936000 943938 952640 967525 1014000 1030500 1048820 1071720 1099200 1116375 1161030 1190800 1216800 1238432 1258584 1311025 1339650 1352000 1363466 1374000 1393236 1428960 1488500 1521000 1548040 1573230 1648800 1678112 1714752 1741545 1786200 1832000 1857648 1887876 1935050 2028000 2045199 2061000 2097640 2143440 2232750 2322060 2359845 2381600 2433600 2476864 2517168 2622050 2679300 2726932 2748000 2786472 2857920 2902575 2977000 3042000 3096080 3146460 3297600 3349125 3356224 3408665 3483090 3572400 3715296 3775752 3870100 3933075 4056000 4090398 4122000 4195280 4286880 4465500 4644120 4719690 4763200 4837625 5034336 5244100 5358600 5453864 5496000 5572944 5805150 5954000 6084000 6135597 6192160 6292920 6555125 6698250 6817330 6966180 7144800 7430592 7551504 7740200 7866150 8180796 8244000 8390560 8573760 8707725 8862529 8931000 9288240 9439380 9675250 10068672 10225995 10488200 10717200 10907728 11145888 11610300 11799225 11908000 12008989 12168000 12271194 12384320 12585840 13110250 13396500 13634660 13932360 14289600 14512875 15103008 15480400 15732300 16361592 16488000 16781120 17043325 17415450 17725058 17862000 18576480 18878760 19350500 19665375 20451990 20976400 21434400 21815456 22291776 23220600 23598450 23816000 24017978 24542388 25171680 26220500 26587587 26793000 27269320 27864720 29025750 30206016 30677985 30960800 31464600 32723184 34086650 34830900 35450116 35724000 36026967 37152960 37757520 38701000 39330750 40903980 41952800 42868800 43538625 43630912 44312645 46441200 47196900 48035956 49084776 50343360 51129975 52441000 53175174 53586000 54538640 55729440 58051500 58996125 60044945 61355970 61921600 62929200 65446368 68173300 69661800 70900232 71448000 72053934 75515040 77402000 78661500 79762761 81807960 83905600 85216625 87077250 88625290 92882400 94393800 96071912 98169552 102259950 104882000 106350348 107172000 108080901 109077280 111458880 116103000 117992250 120089890 122711940 125858400 130892736 132937935 136346600 139323600 141800464 144107868 151030080 153389925 154804000 156116857 157323000 159525522 163615920 170433250 174154500 177250580 180134835 185764800 188787600 192143824 196339104 204519900 209764000 212700696 214344000 216161802 218154560 221563225 232206000 235984500 240179780 245423880 251716800 255649875 265875870 272693200 278647200 283600928 288215736 300224725 306779850 309608000 312233714 314646000 319051044 327231840 340866500 348309000 354501160 360269670 377575200 384287648 392678208 398813805 409039800 419528000 425401392 432323604 443126450 464412000 468350571 471969000 480359560 490847760 511299750 531751740 540404505 545386400 557294400 567201856 576431472 600449450 613559700 624467428 629292000 638102088 654463680 664689675 681733000 696618000 709002320 720539340 755150400 766949625 768575296 780584285 797627610 818079600 850802784 864647208 886252900 900674175 928824000 936701142 943938000 960719120 981695520 1022599500 1063503480 1080809010 1090772800 1107816125 1152862944 1200898900 1227119400 1248934856 1258584000 1276204176 1329379350 1363466000 1393236000 1405051713 1418004640 1441078680 1501123625 1533899250 1561168570 1595255220 1636159200 1701605568 1729294416 1772505800 1801348350 1873402284 1887876000 1921438240 1963391040 1994069025 2029519141 2045199000 2127006960 2161618020 2215632250 2305725888 2341752855 2401797800 2454238800 2497869712 2552408352 2658758700 2702022525 2726932000 2786472000 2810103426 2836009280 2882157360 3002247250 3067798500 3122337140 3190510440 3272318400 3323448375 3458588832 3545011600 3602696700 3746804568 3775752000 3842876480 3902921425 3988138050 4059038282 4090398000 4254013920 4323236040 4431264500 4503370875 4683505710 4803595600 4908477600 4995739424 5104816704 5317517400 5404045050 5453864000 5620206852 5764314720 6004494500 6088557423 6135597000 6244674280 6381020880 6646896750 6917177664 7025258565 7090023200 7205393400 7493609136 7805842850 7976276100 8118076564 8180796000 8508027840 8646472080 8862529000 9006741750 9367011420 9607191200 9816955200 9970345125 9991478848 10147595705 10635034800 10808090100 11240413704 11528629440 11708764275 12008989000 12177114846 12271194000 12489348560 12762041760 13293793500 13510112625 14050517130 14180046400 14410786800 14987218272 15611685700 15952552200 16236153128 16361592000 17292944160 17725058000 18013483500 18265672269 18734022840 19214382400 19514607125 19940690250 20295191410 21270069600 21616180200 22480827408 23417528550 24017978000 24354229692 24542388000 24978697120 25524083520 26587587000 27020225250 28101034260 28821573600 29974436544 30442787115 31223371400 31905104400 32472306256 34585888320 35126292825 35450116000 36026967000 36531344538 37468045680 39029214250 39881380500 40590382820 42540139200 43232360400 44961654816 46835057100 48035956000 48708459384 49084776000 49957394240 50737978525 53175174000 54040450500 56202068520 57643147200 58543821375 60885574230 62446742800 63810208800 64944612512 70252585650 70900232000 72053934000 73062689076 74936091360 78058428500 79762761000 81180765640 86464720800 89923309632 91328361345 93670114200 96071912000 97416918768 101475957050 106350348000 108080901000 112404137040 117087642750 121771148460 124893485600 127620417600 129889225024 140505171300 144107868000 146125378152 149872182720 152213935575 156116857000 159525522000 162361531280 172929441600 175631464125 182656722690 187340228400 194833837536 202951914100 212700696000 216161802000 224808274080 234175285500 243542296920 249786971200 253689892625 281010342600 288215736000 292250756304 304427871150 312233714000 319051044000 324723062560 351262928250 365313445380 374680456800 389667675072 405903828200 432323604000 449616548160 456641806725 468350571000 487084593840 507379785250 562020685200 584501512608 608855742300 624467428000 638102088000 649446125120 702525856500 730626890760 749360913600 761069677875 811807656400 864647208000 913283613450 936701142000 974169187680 1014759570500 1124041370400 1169003025216 1217711484600 1248934856000 1405051713000 1461253781520 1522139355750 1623615312800 1826567226900 1873402284000 1948338375360 2029519141000 2248082740800 2283209033625 2435422969200 2810103426000 2922507563040 3044278711500 3247230625600 3653134453800 3746804568000 4059038282000 4566418067250 4870845938400 5620206852000 5845015126080 6088557423000 7306268907600 8118076564000 9132836134500 9741691876800 11240413704000 12177114846000 14612537815200 16236153128000 18265672269000 24354229692000 29225075630400 36531344538000 48708459384000 73062689076000 146125378152000
- Sum of all divisors σ(n): 568499181241680
- Sum of proper divisors (its aliquot sum) s(n): 422373803089680
- 146125378152000 is an abundant number, because the sum of its proper divisors (422373803089680) is greater than itself. Its abundance is 276248424937680
Bases of 146125378152000
- Binary: 1000010011100110011101110100000111100110010000002
- Hexadecimal: 0x84E67741E640
- Base-36: 1FSP2LB0W0
Squares and roots of 146125378152000
- 146125378152000 squared (1461253781520002) is 21352626140064998935104000000
- 146125378152000 cubed (1461253781520003) is 3120160569255278087251549307447808000000000
-
The
square root of 146125378152000 is 12088233.0450732129 -
The
cube root of 146125378152000 is 52671.4429346343
Scales and comparisons
How big is 146125378152000?- 146,125,378,152,000 seconds is equal to 4,646,335 years, 1 week, 3 days, 20 hours.
-
To count from 1 to 146,125,378,152,000 would take you about eleven million, six hundred fifteen thousand, eight hundred thirty-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 146125378152000 cubic inches would be around 4389.3 feet tall.
Recreational maths with 146125378152000
- 146125378152000 backwards is 000251873521641
- 146125378152000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 146125378152000's digits is 45
- More coming soon!
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The information we have on file for 146125378152000 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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