146193997824

Names of 146193997824

• Cardinal: 146193997824 can be written as One hundred forty-six billion, one hundred ninety-three million, nine hundred ninety-seven thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.46193997824 × 10¹¹

Factors of 146193997824

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 100

Divisors of 146193997824

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 41 42 47 48 49 54 56 63 64 72 82 84 94 96 98 108 112 123 126 128 141 144 147 164 168 188 189 192 196 216 224 246 252 256 282 287 288 294 328 329 336 343 369 376 378 384 392 423 432 441 448 492 504 512 564 574 576 588 656 658 672 686 738 752 756 768 784 846 861 864 882 896 984 987 1008 1024 1029 1107 1128 1148 1152 1176 1269 1312 1316 1323 1344 1372 1476 1504 1512 1536 1568 1692 1722 1728 1764 1792 1927 1968 1974 2009 2016 2048 2058 2214 2256 2296 2303 2304 2352 2538 2583 2624 2632 2646 2688 2744 2952 2961 3008 3024 3072 3087 3136 3384 3444 3456 3528 3584 3854 3936 3948 4018 4032 4096 4116 4428 4512 4592 4606 4608 4704 5076 5166 5248 5264 5292 5376 5488 5781 5904 5922 6016 6027 6048 6144 6174 6272 6768 6888 6909 6912 7056 7168 7708 7749 7872 7896 8036 8064 8192 8232 8856 8883 9024 9184 9212 9216 9261 9408 10152 10332 10496 10528 10584 10752 10976 11562 11808 11844 12032 12054 12096 12288 12348 12544 13489 13536 13776 13818 13824 14063 14112 14336 15416 15498 15744 15792 16072 16121 16128 16464 17343 17712 17766 18048 18081 18368 18424 18432 18522 18816 20304 20664 20727 20992 21056 21168 21504 21952 23124 23616 23688 24064 24108 24192 24576 24696 25088 26978 27072 27552 27636 27648 28126 28224 28672 30832 30996 31488 31584 32144 32242 32256 32928 34686 35424 35532 36096 36162 36736 36848 36864 37044 37632 40467 40608 41328 41454 41984 42112 42189 42336 43008 43904 46248 47232 47376 48128 48216 48363 48384 49392 50176 52029 53956 54144 54243 55104 55272 55296 56252 56448 57344 61664 61992 62181 62976 63168 64288 64484 64512 65856 69372 70848 71064 72192 72324 73472 73696 73728 74088 75264 80934 81216 82656 82908 83968 84224 84378 84672 86016 87808 92496 94423 94464 94752 96256 96432 96726 96768 98784 100352 104058 107912 108288 108486 110208 110544 110592 112504 112896 121401 123328 123984 124362 125952 126336 126567 128576 128968 129024 131712 138744 141696 142128 144384 144648 145089 146944 147392 148176 150528 161868 162432 165312 165816 167936 168448 168756 169344 172032 175616 184992 188846 188928 189504 192512 192864 193452 193536 197568 200704 208116 215824 216576 216972 220416 221088 221184 225008 225792 242802 246656 247968 248724 251904 252672 253134 257152 257936 258048 263424 277488 283269 283392 284256 288768 289296 290178 293888 294784 296352 301056 323736 324864 330624 331632 335872 336896 337512 338688 351232 364203 369984 377692 377856 379008 379701 385024 385728 386904 387072 395136 401408 416232 431648 433152 433944 435267 440832 442176 450016 451584 485604 493312 495936 497448 503808 505344 506268 514304 515872 516096 526848 554976 566538 566784 568512 577536 578592 580356 587776 589568 592704 602112 647472 649728 660961 661248 663264 673792 675024 677376 702464 728406 739968 755384 755712 758016 759402 771456 773808 774144 790272 832464 849807 863296 866304 867888 870534 881664 884352 900032 903168 971208 986624 991872 994896 1007616 1010688 1012536 1028608 1031744 1053696 1109952 1133076 1133568 1137024 1155072 1157184 1160712 1175552 1179136 1185408 1204224 1294944 1299456 1321922 1322496 1326528 1347584 1350048 1354752 1404928 1456812 1479936 1510768 1511424 1516032 1518804 1542912 1547616 1548288 1580544 1664928 1699614 1726592 1732608 1735776 1741068 1763328 1768704 1800064 1806336 1942416 1973248 1982883 1983744 1989792 2021376 2025072 2057216 2063488 2107392 2219904 2266152 2267136 2274048 2314368 2321424 2351104 2358272 2370816 2549421 2589888 2598912 2643844 2644992 2653056 2695168 2700096 2709504 2809856 2913624 2959872 3021536 3022848 3032064 3037608 3085824 3095232 3161088 3329856 3399228 3453184 3465216 3471552 3482136 3526656 3537408 3600128 3612672 3884832 3946496 3965766 3967488 3979584 4042752 4050144 4114432 4126976 4214784 4439808 4532304 4534272 4548096 4628736 4642848 4716544 4741632 5098842 5179776 5197824 5287688 5289984 5306112 5400192 5419008 5827248 5919744 5948649 6043072 6064128 6075216 6171648 6190464 6322176 6659712 6798456 6906368 6943104 6964272 7053312 7074816 7200256 7769664 7892992 7931532 7934976 7959168 8085504 8100288 8228864 8253952 8429568 8879616 9064608 9068544 9096192 9257472 9285696 9433088 9483264 10197684 10359552 10395648 10575376 10579968 10612224 10800384 10838016 11654496 11839488 11897298 12086144 12128256 12150432 12343296 12380928 12644352 13319424 13596912 13812736 13886208 13928544 14149632 14400512 15539328 15785984 15863064 15869952 15918336 16200576 16457728 16507904 17759232 17845947 18129216 18192384 18514944 18571392 18866176 18966528 20395368 20719104 21150752 21159936 21224448 21600768 23308992 23678976 23794596 24172288 24256512 24300864 24686592 24761856 25288704 26638848 27193824 27625472 27772416 27857088 28299264 28801024 31078656 31726128 31739904 31836672 32401152 33015808 35518464 35691894 36258432 36384768 37029888 37142784 37933056 40790736 41438208 42301504 42448896 43201536 46617984 47357952 47589192 48344576 48601728 49373184 49523712 53277696 54387648 55250944 55544832 55714176 56598528 57602048 62157312 63452256 63479808 63673344 64802304 66031616 71036928 71383788 72516864 72769536 74059776 74285568 75866112 81581472 82876416 84603008 84897792 86403072 93235968 95178384 96689152 97203456 99047424 106555392 108775296 110501888 111089664 111428352 115204096 124314624 126904512 127346688 129604608 132063232 142073856 142767576 145033728 148119552 148571136 163162944 165752832 169206016 169795584 172806144 186471936 190356768 193378304 194406912 198094848 213110784 217550592 222179328 222856704 248629248 253809024 254693376 259209216 285535152 290067456 297142272 326325888 331505664 338412032 345612288 372943872 380713536 386756608 388813824 396189696 426221568 435101184 444358656 445713408 497258496 507618048 509386752 518418432 571070304 580134912 594284544 652651776 676824064 745887744 761427072 773513216 777627648 870202368 891426816 994516992 1015236096 1036836864 1142140608 1160269824 1188569088 1305303552 1353648128 1491775488 1522854144 1555255296 1740404736 1782853632 2030472192 2284281216 2320539648 2610607104 2707296256 2983550976 3045708288 3110510592 3480809472 3565707264 4060944384 4568562432 5221214208 5414592512 6091416576 6961618944 8121888768 9137124864 10442428416 12182833152 16243777536 18274249728 20884856832 24365666304 36548499456 48731332608 73096998912 146193997824
• Sum of all divisors σ(n): 528450048000
• Sum of proper divisors (its aliquot sum) s(n): 382256050176
• 146193997824 is an abundant number, because the sum of its proper divisors (382256050176) is greater than itself. Its abundance is 236062052352

Bases of 146193997824

• Binary: 10001000001001110101110110000000000000₂
• Hexadecimal: 0x2209D76000
• Base-36: 1V5S4QO0

Squares and roots of 146193997824

• 146193997824 squared (146193997824²) is 21372684999763716734976
• 146193997824 cubed (146193997824³) is 3124558264348494244867233728692224
• The square root of 146193997824 is 382353.2369733517
• The cube root of 146193997824 is 5267.9686384153

Scales and comparisons

• 146,193,997,824 seconds is equal to 4,648 years, 26 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 146,193,997,824 would take you about nine thousand, two hundred ninety-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 146193997824 cubic inches would be around 439 feet tall.

Recreational maths with 146193997824

• 146193997824 backwards is 428799391641
• 146193997824 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 146193997824's digits is 63
• More coming soon!