168678816768

Names of 168678816768

• Cardinal: 168678816768 can be written as One hundred sixty-eight billion, six hundred seventy-eight million, eight hundred sixteen thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.68678816768 × 10¹¹

Factors of 168678816768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 23

Divisors of 168678816768

• Number of divisors d(n): 990
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 64 66 72 77 81 84 88 96 98 99 108 112 121 126 128 132 144 147 154 162 168 176 189 192 196 198 216 224 231 242 252 256 264 288 294 297 308 324 336 343 352 363 378 384 392 396 432 441 448 462 484 504 512 528 539 567 576 588 594 616 648 672 686 693 704 726 756 768 784 792 847 864 882 891 896 924 968 1008 1024 1029 1056 1078 1089 1134 1152 1176 1188 1232 1296 1323 1344 1372 1386 1408 1452 1512 1536 1568 1584 1617 1694 1728 1764 1782 1792 1848 1936 2016 2058 2079 2112 2156 2178 2268 2304 2352 2376 2401 2464 2541 2592 2646 2688 2744 2772 2816 2904 3024 3072 3087 3136 3168 3234 3267 3388 3456 3528 3564 3584 3696 3773 3872 3969 4032 4116 4158 4224 4312 4356 4536 4608 4704 4752 4802 4851 4928 5082 5184 5292 5376 5488 5544 5632 5808 5929 6048 6174 6237 6272 6336 6468 6534 6776 6912 7056 7128 7168 7203 7392 7546 7623 7744 7938 8064 8232 8316 8448 8624 8712 9072 9216 9261 9408 9504 9604 9702 9801 9856 10164 10368 10584 10752 10976 11088 11264 11319 11616 11858 12096 12348 12474 12544 12672 12936 13068 13552 13824 14112 14256 14406 14553 14784 15092 15246 15488 15876 16128 16464 16632 16807 16896 17248 17424 17787 18144 18522 18816 19008 19208 19404 19602 19712 20328 20736 21168 21504 21609 21952 22176 22638 22869 23232 23716 24192 24696 24948 25088 25344 25872 26136 26411 27104 27648 27783 28224 28512 28812 29106 29568 30184 30492 30976 31752 32256 32928 33264 33614 33792 33957 34496 34848 35574 36288 37044 37632 38016 38416 38808 39204 39424 40656 41472 41503 42336 43218 43659 43904 44352 45276 45738 46464 47432 48384 49392 49896 50176 50421 50688 51744 52272 52822 53361 54208 55566 56448 57024 57624 58212 59136 60368 60984 61952 63504 64512 64827 65856 66528 67228 67914 68607 68992 69696 71148 72576 74088 75264 76032 76832 77616 78408 78848 79233 81312 82944 83006 84672 86436 87318 87808 88704 90552 91476 92928 94864 96768 98784 99792 100842 101376 101871 103488 104544 105644 106722 108416 111132 112896 114048 115248 116424 118272 120736 121968 123904 124509 127008 129654 131712 133056 134456 135828 137214 137984 139392 142296 145152 148176 150528 151263 152064 153664 155232 156816 158466 160083 162624 166012 169344 172872 174636 175616 177408 181104 182952 184877 185856 189728 193536 194481 197568 199584 201684 203742 206976 209088 211288 213444 216832 222264 225792 228096 230496 232848 236544 237699 241472 243936 249018 254016 259308 263424 266112 268912 271656 274428 275968 278784 284592 290304 290521 296352 302526 304128 305613 307328 310464 313632 316932 320166 325248 332024 338688 345744 349272 351232 354816 362208 365904 369754 371712 373527 379456 388962 395136 399168 403368 407484 413952 418176 422576 426888 433664 444528 451584 453789 456192 460992 465696 475398 480249 482944 487872 498036 508032 518616 526848 532224 537824 543312 548856 551936 554631 557568 569184 580608 581042 592704 605052 611226 614656 620928 627264 633864 640332 650496 664048 677376 691488 698544 709632 713097 724416 731808 739508 747054 758912 777924 790272 798336 806736 814968 827904 836352 845152 853776 867328 871563 889056 907578 912384 921984 931392 950796 960498 965888 975744 996072 1016064 1037232 1053696 1064448 1075648 1086624 1097712 1109262 1115136 1120581 1138368 1162084 1185408 1210104 1222452 1229312 1241856 1254528 1267728 1280664 1300992 1328096 1354752 1361367 1382976 1397088 1426194 1448832 1463616 1479016 1494108 1517824 1555848 1580544 1596672 1613472 1629936 1655808 1663893 1672704 1690304 1707552 1743126 1778112 1815156 1843968 1862784 1901592 1920996 1931776 1951488 1992144 2032128 2033647 2074464 2128896 2139291 2151296 2173248 2195424 2218524 2241162 2276736 2324168 2370816 2420208 2444904 2458624 2483712 2509056 2535456 2561328 2601984 2614689 2656192 2722734 2765952 2794176 2852388 2897664 2927232 2958032 2988216 3035648 3111696 3161088 3193344 3226944 3259872 3327786 3345408 3361743 3380608 3415104 3486252 3556224 3630312 3687936 3725568 3803184 3841992 3863552 3902976 3984288 4064256 4067294 4148928 4278582 4302592 4346496 4390848 4437048 4482324 4553472 4648336 4741632 4840416 4889808 4967424 4991679 5018112 5070912 5122656 5229378 5312384 5445468 5531904 5588352 5704776 5795328 5854464 5916064 5976432 6071296 6100941 6223392 6386688 6453888 6519744 6655572 6723486 6761216 6830208 6972504 7112448 7260624 7375872 7451136 7606368 7683984 7805952 7844067 7968576 8134588 8297856 8557164 8605184 8692992 8781696 8874096 8964648 9106944 9296672 9483264 9680832 9779616 9983358 10036224 10141824 10245312 10458756 10624768 10890936 11063808 11176704 11409552 11590656 11708928 11832128 11952864 12201882 12446784 12907776 13039488 13311144 13446972 13522432 13660416 13945008 14224896 14521248 14902272 14975037 15212736 15367968 15688134 15937152 16269176 16595712 17114328 17210368 17385984 17563392 17748192 17929296 18213888 18302823 18593344 19361664 19559232 19966716 20283648 20490624 20917512 21249536 21781872 22127616 22353408 22819104 23417856 23532201 23664256 23905728 24403764 24893568 25815552 26078976 26622288 26893944 27044864 27320832 27890016 28449792 29042496 29950074 30425472 30735936 31376268 31874304 32538352 33191424 34228656 34771968 35126784 35496384 35858592 36605646 37186688 38723328 39118464 39933432 40567296 40981248 41835024 42499072 43563744 44706816 45638208 47064402 47328512 47811456 48807528 49787136 51631104 52157952 53244576 53787888 54641664 54908469 55780032 58084992 59900148 60850944 61471872 62752536 63748608 65076704 66382848 68457312 70253568 70992768 71717184 73211292 74373376 77446656 78236928 79866864 81134592 81962496 83670048 87127488 91276416 94128804 94657024 95622912 97615056 99574272 104315904 106489152 107575776 109816938 111560064 116169984 119800296 121701888 122943744 125505072 127497216 130153408 136914624 141985536 143434368 146422584 148746752 154893312 156473856 159733728 163924992 164725407 167340096 174254976 182552832 188257608 189314048 191245824 195230112 199148544 212978304 215151552 219633876 223120128 232339968 239600592 243403776 245887488 251010144 260306816 273829248 283971072 286868736 292845168 297493504 312947712 319467456 329450814 334680192 348509952 365105664 376515216 382491648 390460224 425956608 430303104 439267752 446240256 464679936 479201184 491774976 502020288 520613632 547658496 567942144 573737472 585690336 638934912 658901628 669360384 697019904 730211328 753030432 780920448 851913216 860606208 878535504 892480512 958402368 1004040576 1041227264 1095316992 1147474944 1171380672 1277869824 1317803256 1338720768 1394039808 1506060864 1561840896 1703826432 1721212416 1757071008 1916804736 2008081152 2082454528 2190633984 2342761344 2555739648 2635606512 2677441536 3012121728 3123681792 3442424832 3514142016 3833609472 4016162304 4685522688 5111479296 5271213024 6024243456 6247363584 7028284032 7667218944 8032324608 9371045376 10542426048 12048486912 14056568064 15334437888 18742090752 21084852096 24096973824 28113136128 42169704192 56226272256 84339408384 168678816768
• Sum of all divisors σ(n): 645934010568
• Sum of proper divisors (its aliquot sum) s(n): 477255193800
• 168678816768 is an abundant number, because the sum of its proper divisors (477255193800) is greater than itself. Its abundance is 308576377032

Bases of 168678816768

• Binary: 10011101000110000010100111110000000000₂
• Hexadecimal: 0x27460A7C00
• Base-36: 25HN0G00

Squares and roots of 168678816768

• 168678816768 squared (168678816768²) is 28452543226252517965824
• 168678816768 cubed (168678816768³) is 4799341325444648045255854582136832
• The square root of 168678816768 is 410705.2675191785
• The cube root of 168678816768 is 5525.2701275133

Scales and comparisons

• 168,678,816,768 seconds is equal to 5,363 years, 24 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 168,678,816,768 would take you about ten thousand, seven hundred twenty-six 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 168678816768 cubic inches would be around 460.4 feet tall.

Recreational maths with 168678816768

• 168678816768 backwards is 867618876861
• 168678816768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 168678816768's digits is 72
• More coming soon!