146908388329920

Names of 146908388329920

• Cardinal: 146908388329920 can be written as One hundred forty-six trillion, nine hundred eight billion, three hundred eighty-eight million, three hundred twenty-nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.4690838832992 × 10¹⁴

Factors of 146908388329920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 61236357

Divisors of 146908388329920

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 28 30 32 34 35 36 40 42 45 48 49 51 56 60 63 64 68 70 72 80 84 85 90 96 98 102 105 112 119 120 126 136 140 144 147 153 160 168 170 180 192 196 204 210 224 238 240 245 252 255 272 280 288 294 306 315 320 336 340 357 360 392 408 420 441 448 476 480 490 504 510 544 560 576 588 595 612 630 672 680 714 720 735 765 784 816 833 840 882 952 960 980 1008 1020 1071 1088 1120 1176 1190 1224 1260 1344 1360 1428 1440 1470 1530 1568 1632 1666 1680 1764 1785 1904 1960 2016 2040 2142 2205 2240 2352 2380 2448 2499 2520 2720 2856 2880 2940 3060 3136 3264 3332 3360 3528 3570 3808 3920 4032 4080 4165 4284 4410 4704 4760 4896 4998 5040 5355 5440 5712 5880 6120 6664 6720 7056 7140 7497 7616 7840 8160 8330 8568 8820 9408 9520 9792 9996 10080 10710 11424 11760 12240 12495 13328 14112 14280 14994 15680 16320 16660 17136 17640 19040 19992 20160 21420 22848 23520 24480 24990 26656 28224 28560 29988 33320 34272 35280 37485 38080 39984 42840 47040 48960 49980 53312 57120 59976 66640 68544 70560 74970 79968 85680 99960 114240 119952 133280 141120 149940 159936 171360 199920 239904 266560 299880 342720 399840 479808 599760 799680 1199520 2399040 61236323 122472646 183708969 244945292 306181615 367417938 428654261 489890584 551126907 612363230 734835876 857308522 918544845 979781168 1041017491 1102253814 1224726460 1285962783 1469671752 1714617044 1837089690 1959562336 2082034982 2143271305 2204507628 2449452920 2571925566 2755634535 2939343504 3000579827 3123052473 3429234088 3674179380 3857888349 3919124672 4164069964 4286542610 4409015256 4898905840 5143851132 5205087455 5511269070 5878687008 6001159654 6246104946 6429813915 6858468176 7287122437 7348358760 7715776698 8328139928 8573085220 8818030512 9001739481 9369157419 9797811680 10287702264 10410174910 11022538140 11757374016 12002319308 12492209892 12859627830 13716936352 14574244874 14696717520 15002899135 15431553396 15615262365 16656279856 17146170440 17636061024 18003478962 18738314838 19289441745 19595623360 20575404528 20820349820 21861367311 22045076280 24004638616 24984419784 25719255660 27005218443 27433872704 29148489748 29393435040 30005798270 30863106792 31230524730 33312559712 34292340880 35272122048 36006957924 36435612185 37476629676 38578883490 41150809056 41640699640 43722734622 44090152560 45008697405 46845787095 48009277232 49968839568 51009857059 51438511320 54010436886 58296979496 58786870080 60011596540 61726213584 62461049460 65584101933 66625119424 68584681760 72013915848 72871224370 74953259352 77157766980 82301618112 83281399280 87445469244 88180305120 90017394810 93691574190 96018554464 99937679136 102019714118 102877022640 108020873772 109306836555 116593958992 120023193080 123452427168 124922098920 131168203866 135026092215 137169363520 144027831696 145742448740 149906518704 153029571177 154315533960 166562798560 174890938488 176360610240 180034789620 187383148380 192037108928 199875358272 204039428236 205754045280 216041747544 218613673110 233187917984 240046386160 246904854336 249844197840 255049285295 262336407732 270052184430 288055663392 291484897480 299813037408 306059142354 308631067920 327920509665 333125597120 349781876976 360069579240 374766296760 408078856472 411508090560 432083495088 437227346220 459088713531 466375835968 480092772320 499688395680 510098570590 524672815464 540104368860 576111326784 582969794960 599626074816 612118284708 617262135840 655841019330 699563753952 720139158480 749532593520 765147855885 816157712944 864166990176 874454692440 918177427062 960185544640 999376791360 1020197141180 1049345630928 1080208737720 1165939589920 1224236569416 1234524271680 1311682038660 1399127507904 1440278316960 1499065187040 1530295711770 1632315425888 1728333980352 1748909384880 1836354854124 2040394282360 2098691261856 2160417475440 2295443567655 2331879179840 2448473138832 2623364077320 2880556633920 2998130374080 3060591423540 3264630851776 3497818769760 3672709708248 4080788564720 4197382523712 4320834950880 4590887135310 4896946277664 5246728154640 6121182847080 6995637539520 7345419416496 8161577129440 8641669901760 9181774270620 9793892555328 10493456309280 12242365694160 14690838832992 16323154258880 18363548541240 20986912618560 24484731388320 29381677665984 36727097082480 48969462776640 73454194164960 146908388329920
• Sum of all divisors σ(n): 622378808208144
• Sum of proper divisors (its aliquot sum) s(n): 475470419878224
• 146908388329920 is an abundant number, because the sum of its proper divisors (475470419878224) is greater than itself. Its abundance is 328562031548304

Bases of 146908388329920

• Binary: 100001011001110011000110010011010000100111000000₂
• Hexadecimal: 0x859CC64D09C0
• Base-36: 1G2OS5CKW0

Squares and roots of 146908388329920

• 146908388329920 squared (146908388329920²) is 21582074561694574846767206400
• 146908388329920 cubed (146908388329920³) is 3170587790674714578478191436932719935488000
• The square root of 146908388329920 is 12120577.0625791575
• The cube root of 146908388329920 is 52765.3550476719

Scales and comparisons

• 146,908,388,329,920 seconds is equal to 4,671,232 years, 17 weeks, 1 day, 15 hours, 12 minutes.
• To count from 1 to 146,908,388,329,920 would take you about eleven million, six hundred seventy-eight thousand and eighty 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 146908388329920 cubic inches would be around 4397.1 feet tall.

Recreational maths with 146908388329920

• 146908388329920 backwards is 029923883809641
• 146908388329920 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146908388329920's digits is 72
• More coming soon!