146813349568200

Names of 146813349568200

• Cardinal: 146813349568200 can be written as One hundred forty-six trillion, eight hundred thirteen billion, three hundred forty-nine million, five hundred sixty-eight thousand, two hundred.

Scientific notation

• Scientific notation: 1.468133495682 × 10¹⁴

Factors of 146813349568200

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 141149

Divisors of 146813349568200

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 31 35 40 42 50 53 56 60 62 70 75 84 93 100 105 106 120 124 140 150 151 155 159 168 175 186 200 210 212 217 248 265 280 300 302 310 318 350 371 372 420 424 434 453 465 525 530 600 604 620 636 651 700 742 744 755 775 795 840 868 906 930 1050 1057 1060 1085 1113 1208 1240 1272 1302 1325 1400 1484 1510 1550 1590 1643 1736 1812 1855 1860 2100 2114 2120 2170 2226 2265 2325 2604 2650 2968 3020 3100 3171 3180 3255 3286 3624 3710 3720 3775 3975 4200 4228 4340 4452 4530 4650 4681 4929 5208 5285 5300 5425 5565 6040 6200 6342 6360 6510 6572 7420 7550 7950 8003 8215 8456 8680 8904 9060 9275 9300 9362 9858 10570 10600 10850 11130 11325 11501 12684 13020 13144 14043 14840 15100 15855 15900 16006 16275 16430 18120 18550 18600 18724 19716 21140 21700 22260 22650 23002 23405 24009 24645 25368 26040 26425 27825 28086 30200 31710 31800 32012 32550 32767 32860 34503 37100 37448 39432 40015 41075 42280 43400 44520 45300 46004 46810 48018 49290 52850 55650 56021 56172 57505 63420 64024 65100 65534 65720 69006 70215 74200 79275 80030 82150 90600 92008 93620 96036 98301 98580 105700 111300 112042 112344 115010 117025 120045 123225 126840 130200 131068 138012 140430 140897 158550 160060 163835 164300 168063 172515 187240 192072 196602 197160 200075 211400 222600 224084 230020 234050 240090 246450 248093 262136 276024 280105 280860 281794 287525 317100 320120 327670 328600 336126 345030 351075 393204 400150 422691 448168 460040 468100 480180 491505 492900 496186 560210 561720 563588 575050 600225 634200 655340 672252 690060 702150 704485 744279 786408 800300 819175 840315 845382 862575 936200 960360 983010 985800 986279 992372 1120420 1127176 1150100 1200450 1240465 1310680 1344504 1380120 1400525 1404300 1408970 1488558 1600600 1638350 1680630 1690764 1725150 1736651 1966020 1972558 1984744 2113455 2240840 2300200 2400900 2457525 2480930 2801050 2808600 2817940 2958837 2977116 3276700 3361260 3381528 3450300 3473302 3522425 3721395 3932040 3945116 4201575 4226910 4367807 4801800 4915050 4931395 4961860 5209953 5602100 5635880 5917674 5954232 6202325 6553400 6722520 6900600 6946604 7044850 7442790 7467541 7890232 8403150 8453820 8683255 8735614 9830100 9862790 9923720 10419906 10567275 11204200 11835348 12404650 13103421 13893208 14089700 14794185 14885580 14935082 16806300 16907640 17366510 17471228 18606975 19660200 19725580 20839812 21134550 21275447 21839035 22402623 23670696 24656975 24809300 26049765 26206842 28179400 29588370 29771160 29870164 30574649 33612600 34733020 34942456 37213950 37337705 39451160 41679624 42269100 42550894 43416275 43678070 44805246 49313950 49618600 52099530 52272787 52413684 59176740 59740328 61149298 63826341 65517105 69466040 73970925 74427900 74675410 84538200 85101788 86832550 87356140 89610492 91723947 98627900 104199060 104545574 104827368 106377235 109195175 112013115 118353480 122298596 127652682 130248825 131034210 147941850 148855800 148928129 149350820 152873245 156818361 170203576 173665100 174712280 179220984 183447894 186688525 197255800 208398120 209091148 212754470 218390350 224026230 231493771 244597192 255305364 260497650 261363935 262068420 295883700 297856258 298701640 305746490 313636722 319131705 327585525 347330200 366895788 373377050 418182296 425508940 436780700 446784387 448052460 458619735 462987542 510610728 520995300 522727870 524136840 531886175 560065575 591767400 595712516 611492980 627273444 638263410 655171050 659538857 694481313 733791576 744640645 746754100 764366225 784091805 851017880 873561400 893568774 896104920 917239470 925975084 1041990600 1045455740 1063772350 1120131150 1127598691 1157468855 1191425032 1222985960 1254546888 1276526820 1306819675 1310342100 1319077714 1388962626 1489281290 1493508200 1528732450 1568183610 1595658525 1620456397 1787137548 1834478940 1851950168 1978616571 2090911480 2127544700 2233921935 2240262300 2255197382 2293098675 2314937710 2553053640 2613639350 2620684200 2638155428 2777925252 2978562580 3057464900 3136367220 3191317050 3240912794 3297694285 3382796073 3472406565 3574275096 3668957880 3723203225 3920459025 3957233142 4255089400 4467843870 4480524600 4510394764 4586197350 4616771999 4629875420 4861369191 5227278700 5276310856 5555850504 5637993455 5787344275 5957125160 6114929800 6272734440 6382634100 6481825588 6595388570 6765592146 6944813130 7446406450 7840918050 7893190837 7914466284 8102281985 8935687740 9020789528 9172394700 9233543998 9259750840 9722738382 9893082855 10454557400 11169609675 11275986910 11574688550 12765268200 12963651176 13190777140 13531184292 13850315997 13889626260 14892812900 15681836100 15786381674 15828932568 16204563970 16488471425 16913980365 17362032825 17871375480 18344789400 18467087996 19445476764 19786165710 22339219350 22551973820 23083859995 23149377100 23679572511 24306845955 26381554280 27062368584 27700631994 27779252520 28189967275 29785625800 31363672200 31572763348 32409127940 32976942850 33827960730 34724065650 34955559421 36934175992 38890953528 39465954185 39572331420 40511409925 44678438700 45103947640 46167719990 46298754200 47359145022 48613691910 49465414275 55401263988 56379934550 63145526696 64818255880 65953885700 67655921460 69251579985 69448131300 69911118842 78931908370 79144662840 81022819850 84569901825 89356877400 92335439980 94718290044 97227383820 98930828550 104866678263 110802527976 112759869100 115419299975 118397862555 121534229775 131907771400 135311842920 138503159970 138896262600 139822237684 157863816740 162045639700 169139803650 174777797105 184670879960 189436580088 194454767640 197329770925 197861657100 209733356526 225519738200 230838599950 236795725110 243068459550 244688915947 277006319940 279644475368 315727633480 324091279400 338279607300 346257899925 349555594210 394659541850 395723314200 419466713052 461677199900 473591450220 486136919100 489377831894 524333391315 554012639880 591989312775 676559214600 692515799850 699111188420 734066747841 789319083700 838933426104 873888985525 923354399800 947182900440 972273838200 978755663788 1048666782630 1183978625550 1223444579735 1385031599700 1398222376840 1468133495682 1578638167400 1747777971050 1957511327576 2097333565260 2367957251100 2446889159470 2621666956575 2770063199400 2936266991364 3495555942100 3670333739205 4194667130520 4735914502200 4893778318940 5243333913150 5872533982728 6117222898675 6991111884200 7340667478410 9787556637880 10486667826300 12234445797350 14681334956820 18351668696025 20973335652600 24468891594700 29362669913640 36703337392050 48937783189400 73406674784100 146813349568200
• Sum of all divisors σ(n): 550674651709440
• Sum of proper divisors (its aliquot sum) s(n): 403861302141240
• 146813349568200 is an abundant number, because the sum of its proper divisors (403861302141240) is greater than itself. Its abundance is 257047952573040

Bases of 146813349568200

• Binary: 100001011000011010100101100011001001111011001000₂
• Hexadecimal: 0x8586A58C9EC8
• Base-36: 1G1H4DQ30O

Squares and roots of 146813349568200

• 146813349568200 squared (146813349568200²) is 21554159611434491126451240000
• 146813349568200 cubed (146813349568200³) is 3164438369682309827602166887652354568000000
• The square root of 146813349568200 is 12116655.8739695171
• The cube root of 146813349568200 is 52753.9741777257

Scales and comparisons

• 146,813,349,568,200 seconds is equal to 4,668,210 years, 20 weeks, 2 days, 23 hours, 10 minutes.
• To count from 1 to 146,813,349,568,200 would take you about eleven million, six hundred seventy thousand, five hundred twenty-five 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 146813349568200 cubic inches would be around 4396.2 feet tall.

Recreational maths with 146813349568200

• 146813349568200 backwards is 002865943318641
• 146813349568200 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146813349568200's digits is 60
• More coming soon!