145742104200
145,742,104,200 is an even composite number composed of seven prime numbers multiplied together.
145742104200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 145742104200:
23 × 3 × 52 × 7 × 113 × 292 × 31
(2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 11 × 11 × 29 × 29 × 31)See below for interesting mathematical facts about the number 145742104200 from the Numbermatics database.
Names of 145742104200
- Cardinal: 145742104200 can be written as One hundred forty-five billion, seven hundred forty-two million, one hundred four thousand, two hundred.
Scientific notation
- Scientific notation: 1.457421042 × 1011
Factors of 145742104200
Divisors of 145742104200
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 25 28 29 30 31 33 35 40 42 44 50 55 56 58 60 62 66 70 75 77 84 87 88 93 100 105 110 116 120 121 124 132 140 145 150 154 155 165 168 174 175 186 200 203 210 217 220 231 232 242 248 264 275 280 290 300 308 310 319 330 341 348 350 363 372 385 406 420 434 435 440 462 465 484 525 550 580 600 605 609 616 620 638 651 660 682 696 700 725 726 744 770 775 812 825 840 841 847 868 870 899 924 930 957 968 1015 1023 1050 1085 1100 1155 1160 1210 1218 1240 1276 1302 1320 1331 1364 1400 1450 1452 1540 1550 1595 1624 1650 1682 1694 1705 1736 1740 1798 1815 1848 1860 1914 1925 2030 2046 2100 2170 2175 2200 2233 2310 2325 2387 2420 2436 2523 2541 2552 2604 2662 2697 2728 2900 2904 3025 3045 3080 3100 3190 3255 3300 3364 3388 3410 3480 3509 3596 3630 3720 3751 3828 3850 3993 4060 4092 4200 4205 4235 4340 4350 4466 4495 4620 4650 4774 4785 4840 4872 5046 5075 5082 5115 5208 5324 5394 5425 5775 5800 5887 6050 6090 6200 6293 6380 6510 6600 6655 6699 6728 6776 6820 7018 7161 7192 7260 7502 7656 7700 7975 7986 8120 8184 8410 8470 8525 8680 8700 8932 8990 9075 9240 9251 9300 9317 9548 9570 9889 10092 10150 10164 10230 10527 10648 10788 10850 11165 11253 11550 11774 11935 12100 12180 12586 12615 12705 12760 13020 13310 13398 13485 13640 14036 14322 14520 15004 15225 15400 15950 15972 16275 16820 16940 17050 17400 17545 17661 17864 17980 18150 18502 18600 18634 18755 18879 19096 19140 19778 19965 20184 20300 20328 20460 21025 21054 21175 21576 21700 22330 22475 22506 23100 23548 23870 23925 24200 24360 24563 25172 25230 25410 25575 26040 26071 26257 26620 26796 26970 27753 27951 28072 28644 29435 29667 30008 30450 31465 31900 31944 32550 33275 33495 33640 33880 34100 35090 35322 35805 35960 36300 37004 37268 37510 37758 38280 38599 39556 39930 40600 40920 41261 42050 42108 42350 43400 44660 44950 45012 46200 46255 46585 47096 47740 47850 49126 49445 50344 50460 50820 51150 52142 52514 52635 53240 53592 53940 55506 55825 55902 56265 57288 58870 59334 59675 60900 62930 63075 63525 63800 64757 65100 66550 66990 67425 68200 69223 70180 70644 71610 72600 73689 74008 74536 75020 75516 77198 78213 78771 79112 79860 82522 84100 84216 84700 87725 88305 89320 89900 90024 92510 93170 93775 94395 95480 95700 98252 98890 99825 100920 101640 101761 102300 104284 105028 105270 107880 108779 111012 111650 111804 112530 115797 117740 118668 119350 121800 122815 123783 125860 126150 127050 129514 130200 130355 131285 133100 133980 134850 138446 138765 139755 140360 141288 143220 147175 147378 148335 150040 151032 154396 156426 157325 157542 159720 165044 167475 168200 169400 175450 176610 179025 179800 182497 185020 186340 187550 188790 191400 192995 194271 196504 197780 199650 203522 204600 206305 207669 208568 210056 210540 217558 222024 223300 223608 225060 231275 231594 232925 235480 237336 238700 245630 247225 247566 251720 252300 254100 259028 260710 262570 263175 266200 267960 269700 270193 276892 277530 279510 281325 286440 286781 288827 294350 294756 296670 305283 308792 312852 314650 315084 323785 326337 330088 334950 346115 350900 353220 358050 364994 368445 370040 372680 375100 377580 385990 388542 391065 393855 395560 399300 407044 412610 415338 421080 435116 441525 446600 450120 462550 463188 465850 471975 477400 491260 494450 495132 504600 508200 508805 518056 521420 525140 526350 539400 540386 543895 547491 553784 555060 559020 562650 573562 577654 578985 588700 589512 593340 610566 614075 618915 625704 629300 630168 647570 651775 652674 656425 669900 692230 693825 698775 701800 706440 712327 716100 729988 736890 741675 750200 755160 761453 771980 777084 782130 787710 798600 810579 814088 825220 830676 860343 866481 870232 883050 912485 925100 926376 931700 943950 964975 971355 982520 988900 990264 1017610 1031525 1038345 1042840 1050280 1052700 1080772 1087790 1094982 1110120 1118040 1119371 1125300 1147124 1155308 1157970 1177400 1186680 1196569 1221132 1228150 1237830 1258600 1295140 1303550 1305348 1312850 1339800 1350965 1384460 1387650 1397550 1424654 1432200 1433905 1444135 1459976 1473780 1483350 1522906 1526415 1543960 1554168 1564260 1575420 1618925 1621158 1631685 1650440 1661352 1720686 1730575 1732962 1766100 1824970 1842225 1850200 1863400 1887900 1929950 1942710 1955325 1969275 1977800 2007467 2035220 2063050 2076690 2105400 2136981 2161544 2175580 2189964 2238742 2250600 2284359 2294248 2310616 2315940 2393138 2442264 2456300 2475660 2544025 2590280 2607100 2610696 2625700 2701930 2719475 2737455 2768920 2775300 2795100 2849308 2867810 2888270 2894925 2947560 2966700 3045812 3052830 3094575 3128520 3150840 3154591 3237850 3242316 3263370 3358113 3441372 3461150 3465924 3532200 3561635 3589707 3649940 3684450 3775800 3807265 3859900 3885420 3910650 3938550 4014934 4052895 4070440 4126100 4153380 4273962 4301715 4332405 4351160 4379928 4477484 4562425 4568718 4631880 4786276 4856775 4912600 4951320 5088050 5191725 5214200 5251400 5403860 5438950 5474910 5550600 5590200 5596855 5698616 5735620 5776540 5789850 5933400 5982845 6022401 6091624 6105660 6189150 6309182 6475700 6484632 6526740 6716226 6754825 6882744 6922300 6931848 7123270 7169525 7179414 7220675 7299880 7368900 7614530 7632075 7719800 7770840 7821300 7835597 7877100 8029868 8105790 8158425 8252200 8306760 8375983 8547924 8603430 8664810 8954968 9124850 9137436 9463773 9572552 9713550 10037335 10176100 10383450 10684905 10807720 10877900 10949820 11193710 11421795 11471240 11553080 11579700 11965690 12044802 12211320 12378300 12618364 12951400 13053480 13432452 13509650 13687275 13844600 14246540 14339050 14358828 14441350 14737800 15229060 15264150 15642600 15671194 15754200 15772955 16059736 16211580 16316850 16751966 16790565 17095848 17206860 17329620 17808175 17948535 18249700 18274872 18927546 19036325 19427100 20074670 20264475 20352200 20766900 21369810 21508575 21662025 21755800 21899640 22082137 22387420 22843590 23159400 23506791 23931380 24089604 24756600 25127949 25236728 26864904 27019300 27374550 27984275 28493080 28678100 28717656 28882700 29914225 30112005 30458120 30528300 31342388 31545910 32423160 32633700 33503932 33581130 34413720 34659240 34700501 35616350 35897070 36499400 37855092 38072650 38854200 39177985 40149340 40528950 41533800 41879915 42739620 43017150 43324050 44164274 44774840 45687180 47013582 47318865 47862760 48179208 50186675 50255898 53424525 54038600 54749100 55968550 57108975 57356200 57765400 59828450 60224010 61056600 62684776 63091820 65267400 66246411 67007864 67162260 69401002 71232700 71794140 75710184 76145300 78355970 78864775 80298680 81057900 83759830 83952825 85479240 86034300 86648100 88328548 89742675 91374360 94027164 94637730 100373350 100511796 104101503 106849050 109498200 110410685 111937100 114217950 117533955 119656900 120448020 125639745 126183640 132492822 134324520 138802004 142465400 143588280 150560025 152290600 156711940 157729550 162115800 167519660 167905650 172068600 173296200 173502505 176657096 179485350 188054328 189275460 195889925 200746700 201023592 208203006 209399575 213698100 220821370 223874200 228435900 235067910 236594325 239313800 240896040 242903507 251279490 264985644 277604008 301120050 313423880 315459100 331232055 335039320 335811300 347005010 358970700 378550920 391779850 401493400 416406012 418799150 427396200 441642740 456871800 470135820 473188650 485807014 502558980 520507515 529971288 552053425 587669775 602240100 628198725 630918200 662464110 671622600 694010020 717941400 728710521 783559700 832812024 837598300 867512525 883285480 940271640 946377300 971614028 1005117960 1041015030 1104106850 1175339550 1204480200 1214517535 1256397450 1324928220 1388020040 1457421042 1567119400 1656160275 1675196600 1735025050 1892754600 1943228056 2082030060 2208213700 2350679100 2429035070 2512794900 2602537575 2649856440 2914842084 3312320550 3470050100 3643552605 4164060120 4416427400 4701358200 4858070140 5025589800 5205075150 5829684168 6072587675 6624641100 6940100200 7287105210 9716140280 10410150300 12145175350 13249282200 14574210420 18217763025 20820300600 24290350700 29148420840 36435526050 48580701400 72871052100 145742104200
- Sum of all divisors σ(n): 607172567040
- Sum of proper divisors (its aliquot sum) s(n): 461430462840
- 145742104200 is an abundant number, because the sum of its proper divisors (461430462840) is greater than itself. Its abundance is 315688358640
Bases of 145742104200
- Binary: 100001111011101110100000000110100010002
- Hexadecimal: 0x21EEE80688
- Base-36: 1UYB33BC
Squares and roots of 145742104200
- 145742104200 squared (1457421042002) is 21240760936643657640000
- 145742104200 cubed (1457421042003) is 3095673193715609550038006088000000
-
The
square root of 145742104200 is 381761.8422524701 -
The
cube root of 145742104200 is 5262.5351766897
Scales and comparisons
How big is 145742104200?- 145,742,104,200 seconds is equal to 4,634 years, 7 weeks, 4 days, 21 hours, 50 minutes.
-
To count from 1 to 145,742,104,200 would take you about nine thousand, two hundred sixty-eight 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 145742104200 cubic inches would be around 438.5 feet tall.
Recreational maths with 145742104200
- 145742104200 backwards is 002401247541
- 145742104200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 145742104200's digits is 30
- More coming soon!
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The information we have on file for 145742104200 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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