146199608823840

Names of 146199608823840

• Cardinal: 146199608823840 can be written as One hundred forty-six trillion, one hundred ninety-nine billion, six hundred eight million, eight hundred twenty-three thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.4619960882384 × 10¹⁴

Factors of 146199608823840

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 46489

Divisors of 146199608823840

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 43 44 48 52 55 60 65 66 78 80 86 88 96 104 110 120 129 130 132 143 156 160 165 172 176 195 208 215 220 240 258 260 264 286 312 330 344 352 390 416 429 430 440 473 480 516 520 528 559 572 624 645 660 688 715 780 858 860 880 946 1032 1040 1056 1093 1118 1144 1248 1290 1320 1376 1419 1430 1560 1677 1716 1720 1760 1892 2064 2080 2145 2186 2236 2288 2365 2580 2640 2795 2838 2860 3120 3279 3354 3432 3440 3784 4128 4290 4372 4472 4576 4730 5160 5280 5465 5590 5676 5720 6149 6240 6558 6708 6864 6880 7095 7568 8385 8580 8744 8944 9460 10320 10930 11180 11352 11440 12023 12298 13116 13416 13728 14190 14209 15136 16395 16770 17160 17488 17888 18447 18920 20640 21860 22360 22704 22880 24046 24596 26232 26832 28380 28418 30745 32790 33540 34320 34976 36069 36894 37840 42627 43720 44720 45319 45408 46999 48092 49192 52464 53664 56760 56836 60115 61490 65580 67080 68640 71045 72138 73788 75680 85254 87440 89440 90638 92235 93998 96184 98384 104928 113520 113672 120230 122980 131160 134160 135957 140997 142090 144276 147576 156299 170508 174880 180345 181276 184470 187996 192368 196768 213135 226595 227040 227344 234995 240460 245960 262320 268320 271914 281994 284180 288552 295152 312598 341016 360690 362552 368940 375992 384736 426270 453190 454688 468897 469990 480920 491920 498509 516989 524640 543828 563988 568360 577104 589147 590304 610987 625196 679785 682032 704985 721380 725104 737880 751984 781495 852540 906380 937794 939980 961840 983840 997018 1033978 1087656 1127976 1136720 1154208 1178294 1221974 1250392 1359570 1364064 1409970 1442760 1450208 1475760 1495527 1503968 1550967 1562990 1705080 1767441 1812760 1832961 1875588 1879960 1923680 1948717 1994036 2067956 2175312 2255952 2273440 2344485 2356588 2443948 2492545 2500784 2584945 2719140 2819940 2885520 2945735 2951520 2991054 3054935 3101934 3125980 3410160 3534882 3625520 3665922 3751176 3759920 3897434 3988072 4135912 4350624 4511904 4688970 4713176 4887896 4985090 5001568 5169890 5438280 5639880 5771040 5846151 5891470 5982108 6109870 6203868 6251960 6480617 6720857 6820320 7069764 7251040 7331844 7477635 7502352 7519840 7754835 7794868 7976144 8271824 8837205 9164805 9377940 9426352 9743585 9775792 9970180 10339780 10876560 11279760 11692302 11782940 11964216 12219740 12407736 12503920 12961234 13441714 14139528 14663688 14955270 15004704 15509670 15589736 15952288 16543648 17674410 18329610 18755880 18852704 19441851 19487170 19551584 19940360 20162571 20679560 21435887 21753120 22559520 23384604 23565880 23928432 24439480 24815472 25007840 25333321 25922468 26883428 28279056 29230755 29327376 29910540 31019340 31179472 32403085 33604285 35348820 36659220 37511760 38883702 38974340 39880720 40325142 41359120 42871774 46769208 47131760 47856864 48878960 49533667 49630944 50666642 51844936 53766856 56558112 58461510 58654752 59821080 62038680 62358944 64307661 64806170 67208570 70697640 73318440 75023520 75999963 77767404 77948680 79761440 80650284 82718240 85743548 93538416 94263520 97209255 97757920 99067334 100812855 101333284 103689872 107179435 107533712 116923020 119642160 124077360 126666605 128615322 129612340 134417140 141395280 146636880 148601001 151999926 155534808 155897360 161300568 171487096 187076832 194418510 198134668 201625710 202666568 207379744 214358870 215067424 233846040 239284320 247668335 248154720 253333210 257230644 259224680 268834280 278666531 282790560 293273760 297202002 303999852 311069616 311794720 321538305 322601136 342974192 379999815 388837020 396269336 403251420 405333136 428717740 467692080 495336670 506666420 514461288 518449360 537668560 544870337 557333062 594404004 607999704 622139232 643076610 643937671 645202272 685948384 743005005 759999630 777674040 792538672 806502840 810666272 835999593 857435480 935384160 990673340 1013332840 1028922576 1036898720 1075337120 1089740674 1114666124 1188808008 1215999408 1286153220 1287875342 1393332655 1486010010 1519999260 1555348080 1585077344 1613005680 1634611011 1671999186 1714870960 1931813013 1981346680 2026665680 2057845152 2129947681 2179481348 2229332248 2377616016 2431998816 2572306440 2575750684 2724351685 2786665310 2972020020 3039998520 3110696160 3219688355 3226011360 3269222022 3343998372 3429741920 3863626026 3962693360 4053331360 4179997965 4259895362 4358962696 4458664496 4755232032 5144612880 5151501368 5448703370 5573330620 5944040040 6079997040 6389843043 6439376710 6538444044 6687996744 7083314381 7727252052 7925386720 8173055055 8359995930 8519790724 8717925392 8917328992 9659065065 10289225760 10303002736 10649738405 10897406740 11146661240 11888080080 12159994080 12779686086 12878753420 13076888088 13375993488 14166628762 15454504104 16346110110 16719991860 17039581448 17435850784 19318130130 20606005472 21249943143 21299476810 21794813480 22293322480 23429424491 23776160160 25559372172 25757506840 26153776176 26751986976 27689319853 28333257524 30909008208 31949215215 32692220220 33439983720 34079162896 35416571905 38636260260 42499886286 42598953620 43589626960 44586644960 46858848982 51118744344 51515013680 52307552352 55378639706 56666515048 61818016416 63898430430 65384440440 66879967440 68158325792 70288273473 70833143810 77272520520 83067959559 84999772572 85197907240 87179253920 93717697964 102237488688 103030027360 106249715715 110757279412 113333030096 117147122455 127796860860 130768880880 133759934880 138446599265 140576546946 141666287620 154545041040 166135919118 169999545144 170395814480 187435395928 204474977376 212499431430 221514558824 226666060192 234294244910 255593721720 261537761760 276893198530 281153093892 283332575240 304582518383 309090082080 332271838236 339999090288 340791628960 351441367365 374870791856 415339797795 424998862860 443029117648 468588489820 511187443440 553786397060 562306187784 566665150480 609165036766 664543676472 679998180576 702882734730 749741583712 830679595590 849997725720 886058235296 913747555149 937176979640 1022374886880 1107572794120 1124612375568 1133330300960 1218330073532 1329087352944 1405765469460 1522912591915 1661359191180 1699995451440 1827495110298 1874353959280 2215145588240 2249224751136 2436660147064 2658174705888 2811530938920 3045825183830 3322718382360 3399990902880 3654990220596 3748707918560 4430291176480 4568737775745 4873320294128 5623061877840 6091650367660 6645436764720 7309980441192 9137475551490 9746640588256 11246123755680 12183300735320 13290873529440 14619960882384 18274951102980 24366601470640 29239921764768 36549902205960 48733202941280 73099804411920 146199608823840
• Sum of all divisors σ(n): 554141878456320
• Sum of proper divisors (its aliquot sum) s(n): 407942269632480
• 146199608823840 is an abundant number, because the sum of its proper divisors (407942269632480) is greater than itself. Its abundance is 261742660808640

Bases of 146199608823840

• Binary: 100001001111011110111111110000000001000000100000₂
• Hexadecimal: 0x84F7BFC01020
• Base-36: 1FTN68BXUO

Squares and roots of 146199608823840

• 146199608823840 squared (146199608823840²) is 21374325620243834788152345600
• 146199608823840 cubed (146199608823840³) is 3124918044553029929426316822871953199104000
• The square root of 146199608823840 is 12091303.0242335751
• The cube root of 146199608823840 is 52680.3603332307

Scales and comparisons

• 146,199,608,823,840 seconds is equal to 4,648,695 years, 17 weeks, 3 days, 3 hours, 4 minutes.
• To count from 1 to 146,199,608,823,840 would take you about eleven million, six hundred twenty-one thousand, seven hundred thirty-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 146199608823840 cubic inches would be around 4390 feet tall.

Recreational maths with 146199608823840

• 146199608823840 backwards is 048328806991641
• The number of decimal digits it has is: 15
• The sum of 146199608823840's digits is 69
• More coming soon!