146828541112000
146,828,541,112,000 is an even composite number composed of seven prime numbers multiplied together.
146828541112000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 146828541112000:
26 × 53 × 11 × 31 × 79 × 137 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 31 × 79 × 137 × 4973)See below for interesting mathematical facts about the number 146828541112000 from the Numbermatics database.
Names of 146828541112000
- Cardinal: 146828541112000 can be written as One hundred forty-six trillion, eight hundred twenty-eight billion, five hundred forty-one million, one hundred twelve thousand.
Scientific notation
- Scientific notation: 1.46828541112 × 1014
Factors of 146828541112000
Divisors of 146828541112000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 62 64 79 80 88 100 110 124 125 137 155 158 160 176 200 220 248 250 274 275 310 316 320 341 352 395 400 440 496 500 548 550 620 632 682 685 704 775 790 800 869 880 992 1000 1096 1100 1240 1264 1364 1370 1375 1507 1550 1580 1600 1705 1738 1760 1975 1984 2000 2192 2200 2449 2480 2528 2728 2740 2750 3014 3100 3160 3410 3425 3476 3520 3875 3950 4000 4247 4345 4384 4400 4898 4960 4973 5056 5456 5480 5500 6028 6200 6320 6820 6850 6952 7535 7750 7900 8000 8494 8525 8690 8768 8800 9796 9875 9920 9946 10823 10912 10960 11000 12056 12245 12400 12640 13640 13700 13904 15070 15500 15800 16988 17050 17125 17380 17600 19592 19750 19892 21235 21646 21725 21824 21920 22000 24112 24490 24800 24865 25280 26939 27280 27400 27808 30140 31000 31600 33976 34100 34250 34760 37675 39184 39500 39784 42470 42625 43292 43450 43840 44000 46717 48224 48980 49600 49730 53878 54115 54560 54703 54800 55616 60280 61225 62000 63200 67952 68200 68500 69520 75350 78368 79000 79568 84940 85250 86584 86900 88000 93434 96448 97960 99460 106175 107756 108230 108625 109120 109406 109600 119053 120560 122450 124000 124325 126400 134695 135904 136400 137000 139040 150700 154163 156736 158000 159136 169880 170500 173168 173800 186868 188375 195920 198920 212350 215512 216460 217250 218812 219200 233585 238106 241120 244900 248000 248650 269390 270575 271808 272800 273515 274000 278080 301400 306125 308326 316000 318272 335513 339760 341000 346336 347600 373736 376750 391840 392867 397840 424700 431024 432920 434500 437624 467170 476212 482240 489800 497300 530875 538780 541150 545600 547030 548000 595265 602800 612250 616652 621625 632000 671026 673475 679520 681301 682000 692672 695200 747472 753500 770815 783680 785734 795680 849400 862048 865840 869000 875248 934340 952424 979600 994600 1061750 1077560 1082300 1094060 1096000 1167925 1190530 1205600 1224500 1233304 1243250 1342052 1346950 1352875 1359040 1362602 1364000 1367575 1390400 1494944 1507000 1541630 1571468 1591360 1677565 1695793 1698800 1724096 1731680 1738000 1750496 1868680 1904848 1959200 1964335 1989200 2123500 2155120 2164600 2188120 2335850 2381060 2411200 2449000 2466608 2486500 2684104 2693900 2705750 2725204 2728000 2735150 2976325 2989888 3014000 3083260 3142936 3355130 3367375 3391586 3397600 3406505 3463360 3476000 3500992 3690643 3737360 3809696 3854075 3918400 3928670 3978400 4247000 4310240 4321537 4329200 4376240 4671700 4762120 4898000 4933216 4973000 5368208 5387800 5411500 5450408 5470300 5839625 5952650 6028000 6166520 6285872 6710260 6734750 6783172 6795200 6813010 6837875 6952000 7381286 7474720 7494311 7619392 7708150 7857340 7956800 8387825 8478965 8494000 8620480 8643074 8658400 8752480 9343400 9524240 9796000 9821675 9866432 9946000 10736416 10775600 10823000 10900816 10940600 11679250 11905300 12056000 12178877 12333040 12571744 13420520 13469500 13566344 13626020 13675750 14762572 14881625 14949440 14988622 15416300 15714680 16775650 16957930 16988000 17032525 17286148 17316800 17504960 18453215 18686800 19048480 19270375 19592000 19643350 19892000 21120331 21472832 21551200 21607685 21646000 21801632 21881200 23358500 23810600 24357754 24666080 25143488 26841040 26939000 27132688 27252040 27351500 29525144 29763250 29977244 30832600 31429360 33551300 33915860 33976000 34065050 34572296 36906430 37373600 37471555 38096960 38540750 39286700 39784000 41939125 42240662 42394825 43102400 43215370 43292000 43603264 43762400 46717000 47621200 48715508 49108375 49332160 53682080 53822779 53878000 54265376 54504080 54703000 59050288 59526500 59954488 60894385 61665200 62858720 67102600 67831720 68130100 69144592 73812860 74747200 74943110 77081500 78573400 83878250 84481324 84789650 85162625 86430740 86584000 87524800 92266075 93434000 95242400 97431016 98216750 105601655 107364160 107645558 107756000 108038425 108530752 109008160 109406000 118100576 119053000 119908976 121788770 123330400 125717440 133967647 134205200 135663440 136260200 138289184 147625720 149886220 154163000 157146800 167756500 168962648 169579300 170325250 172861480 184532150 186868000 187357775 190484800 194862032 196433500 211203310 211974125 215291116 215512000 216076850 218016320 218812000 232323641 236201152 238106000 239817952 243577540 246660800 267935294 268410400 269113895 271326880 272520400 276578368 295251440 299772440 304471925 308326000 314293600 335513000 337925296 339158600 340650500 345722960 369064300 373736000 374715550 389724064 392867000 422406620 423948250 430582232 432153700 437624000 461330375 464647282 476212000 479635904 487155080 528008275 535870588 536820800 538227790 540192125 542653760 545040800 590502880 592050569 599544880 608943850 616652000 628587200 669838235 671026000 675850592 678317200 681301000 691445920 738128600 749431100 779448128 785734000 844813240 847896500 861164464 864307400 922660750 929294564 936788875 952424000 974310160 1056016550 1071741176 1076455580 1080384250 1090081600 1161618205 1181005760 1184101138 1199089760 1217887700 1233304000 1339676470 1342052000 1345569475 1351701184 1356634400 1362602000 1382891840 1476257200 1498862200 1522359625 1571468000 1668506149 1689626480 1695793000 1722328928 1728614800 1845321500 1858589128 1873577750 1948620320 2112033100 2143482352 2152911160 2160768500 2323236410 2368202276 2398179520 2435775400 2640041375 2679352940 2684104000 2691138950 2713268800 2725204000 2952514400 2960252845 2997724400 3044719250 3142936000 3337012298 3349191175 3379252960 3391586000 3444657856 3457229600 3690643000 3717178256 3747155500 3897240640 4224066200 4286964704 4305822320 4321537000 4646472820 4736404552 4871550800 5280082750 5358705880 5382277900 5450408000 5808091025 5905028800 5920505690 5995448800 6089438500 6674024596 6698382350 6727847375 6758505920 6783172000 6914459200 7381286000 7434356512 7494311000 8342530745 8448132400 8573929408 8611644640 8643074000 9292945640 9472809104 9743101600 10560165500 10717411760 10764555800 11616182050 11841011380 11990897600 12178877000 13348049192 13396764700 13455694750 13566344000 14762572000 14801264225 14868713024 14988622000 16685061490 16745955875 16896264800 17223289280 17286148000 18353567639 18585891280 18945618208 19486203200 21120331000 21434823520 21529111600 23232364100 23682022760 24357754000 26696098384 26793529400 26911389500 29040455125 29525144000 29602528450 29977244000 33370122980 33491911750 33792529600 34572296000 36707135278 37171782560 37891236416 41712653725 42240662000 42869647040 43058223200 46464728200 47364045520 48715508000 53392196768 53587058800 53822779000 58080910250 59205056900 59954488000 66740245960 66983823500 73414270556 74006321125 74343565120 83425307450 84481324000 86116446400 91767838195 92929456400 94728091040 97431016000 106784393536 107174117600 107645558000 116161820500 118410113800 133480491920 133967647000 146828541112 148012642250 166850614900 168962648000 183535676390 185858912800 189456182080 208563268625 214348235200 215291116000 232323641000 236820227600 266960983840 267935294000 293657082224 296025284500 333701229800 367071352780 371717825600 417126537250 430582232000 458839190975 464647282000 473640455200 533921967680 535870588000 587314164448 592050569000 667402459600 734142705560 834253074500 917678381950 929294564000 947280910400 1071741176000 1174628328896 1184101138000 1334804919200 1468285411120 1668506149000 1835356763900 1858589128000 2294195954875 2368202276000 2669609838400 2936570822240 3337012298000 3670713527800 4588391909750 4736404552000 5873141644480 6674024596000 7341427055600 9176783819500 13348049192000 14682854111200 18353567639000 29365708222400 36707135278000 73414270556000 146828541112000
- Sum of all divisors σ(n): 417767256391680
- Sum of proper divisors (its aliquot sum) s(n): 270938715279680
- 146828541112000 is an abundant number, because the sum of its proper divisors (270938715279680) is greater than itself. Its abundance is 124110174167680
Bases of 146828541112000
- Binary: 1000010110001010001011110000100100101110110000002
- Hexadecimal: 0x858A2F092EC0
- Base-36: 1G1O3MDL8G
Squares and roots of 146828541112000
- 146828541112000 squared (1468285411120002) is 21558620485078274196544000000
- 146828541112000 cubed (1468285411120003) is 3165420794211320765405269472316928000000000
-
The
square root of 146828541112000 is 12117282.7445760299 -
The
cube root of 146828541112000 is 52755.7936913487
Scales and comparisons
How big is 146828541112000?- 146,828,541,112,000 seconds is equal to 4,668,693 years, 22 weeks, 5 days, 26 minutes, 40 seconds.
-
To count from 1 to 146,828,541,112,000 would take you about eleven million, six hundred seventy-one thousand, seven hundred thirty-three 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 146828541112000 cubic inches would be around 4396.3 feet tall.
Recreational maths with 146828541112000
- 146828541112000 backwards is 000211145828641
- The number of decimal digits it has is: 15
- The sum of 146828541112000's digits is 43
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 146828541112000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
APA style:
Numbermatics. (2024). Number 146828541112000 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/146828541112000/
Chicago style:
Numbermatics. 2024. "Number 146828541112000 - Facts about the integer". https://numbermatics.com/n/146828541112000/
The information we have on file for 146828541112000 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!
Keywords: Divisors of 146828541112000, math, Factors of 146828541112000, curriculum, school, college, exams, university, Prime factorization of 146828541112000, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-six trillion, eight hundred twenty-eight billion, five hundred forty-one million, one hundred twelve thousand.