4680368144400

Names of 4680368144400

• Cardinal: 4680368144400 can be written as Four trillion, six hundred eighty billion, three hundred sixty-eight million, one hundred forty-four thousand, four hundred.

Scientific notation

• Scientific notation: 4.6803681444 × 10¹²

Factors of 4680368144400

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1937

Divisors of 4680368144400

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 34 39 40 43 48 50 51 52 60 65 68 75 78 80 85 86 100 102 104 120 129 130 136 150 156 170 172 195 200 204 208 215 221 240 255 257 258 260 272 300 312 325 340 344 390 400 408 425 430 442 510 514 516 520 559 600 624 645 650 663 680 688 731 771 780 816 850 860 884 975 1020 1028 1032 1040 1075 1105 1118 1200 1275 1285 1290 1300 1326 1360 1462 1542 1560 1597 1677 1700 1720 1768 1950 2040 2056 2064 2150 2193 2210 2236 2550 2570 2580 2600 2652 2795 2924 3084 3120 3194 3225 3315 3341 3354 3400 3440 3536 3655 3855 3900 4080 4112 4300 4369 4386 4420 4472 4791 5100 5140 5160 5200 5304 5525 5590 5848 6168 6388 6425 6450 6630 6682 6708 6800 7310 7710 7800 7985 8385 8600 8738 8772 8840 8944 9503 9582 10023 10200 10280 10320 10608 10965 11050 11051 11180 11696 12336 12776 12850 12900 13107 13260 13364 13416 13975 14620 15420 15600 15970 16575 16705 16770 17200 17476 17544 17680 18275 19006 19164 19275 20046 20400 20560 20761 21845 21930 22100 22102 22360 23955 25552 25700 25800 26214 26520 26728 26832 27149 27950 28509 29240 30840 31940 33150 33153 33410 33540 34952 35088 36550 38012 38328 38550 39925 40092 41522 41925 43690 43860 44200 44204 44720 47515 47910 50115 51400 51600 52428 53040 53456 54298 54825 55255 55900 56797 57018 58480 61680 62283 63880 65535 66300 66306 66820 67080 68671 69904 73100 76024 76656 77100 79850 80184 81447 83044 83525 83850 87380 87720 88400 88408 95030 95820 100230 102800 103805 104856 108596 109225 109650 110510 111800 113594 114036 119775 124566 127760 131070 132600 132612 133640 134160 135745 137342 142545 143663 146200 152048 154200 159700 160368 162894 165765 166088 167050 167700 170391 174760 175440 176816 187867 190060 191640 200460 206013 207610 209712 217192 218450 219300 221020 223600 227188 228072 237575 239550 249132 250575 262140 265200 265224 267280 271490 274684 276275 283985 285090 287326 292400 308400 311415 319400 325788 327675 331530 332176 334100 335400 340782 343355 349520 352937 375734 380120 383280 400920 407235 410429 412026 415220 430989 434384 436900 438600 442040 454376 456144 475150 479100 498264 501150 519025 524280 530448 542980 549368 552550 563601 567970 570180 574652 622830 638800 651576 655350 663060 668200 670800 678725 681564 686710 705874 712725 718315 751468 760240 801840 814470 820858 824052 828825 830440 851955 861978 873800 877200 884080 892723 908752 939335 950300 958200 996528 1002300 1030065 1038050 1048560 1058811 1085960 1098736 1105100 1127202 1135940 1140360 1149304 1167407 1231287 1245660 1303152 1310700 1326120 1336400 1357450 1363128 1373420 1411748 1419925 1425450 1436630 1502936 1557075 1628940 1641716 1648104 1657650 1660880 1703910 1716775 1723956 1747600 1764685 1785446 1878670 1900600 1916400 2004600 2036175 2052145 2060130 2076100 2117622 2154945 2171920 2210200 2254404 2271880 2280720 2298608 2334814 2442271 2462574 2491320 2621400 2652240 2678169 2714900 2726256 2746840 2818005 2823496 2839850 2850900 2873260 3005872 3114150 3257880 3283432 3296208 3315300 3407820 3433550 3447912 3502221 3529370 3570892 3591575 3757340 3801200 4009200 4072350 4104290 4120260 4152200 4235244 4259775 4309890 4420400 4463615 4508808 4543760 4669628 4696675 4884542 4925148 4982640 5150325 5242800 5294055 5335577 5356338 5429800 5493680 5636010 5646992 5679700 5701800 5746520 5837035 6156435 6228300 6515760 6566864 6630600 6815640 6867100 6895824 6977293 7004442 7058740 7141784 7183150 7326813 7514680 8144700 8208580 8240520 8304400 8470488 8519550 8619780 8823425 8927230 9017616 9339256 9393350 9769084 9850296 10260725 10300650 10588110 10671154 10712676 10774725 10859600 11272020 11359400 11403600 11493040 11674070 12211355 12312870 12456600 13261200 13390845 13631280 13734200 13954586 14008884 14090025 14117480 14283568 14366300 14653626 15029360 15176291 16006731 16289400 16417160 16481040 16940976 17039100 17239560 17511105 17646850 17648447 17854460 18678512 18786700 19538168 19700592 20521450 20601300 20931879 21176220 21342308 21425352 21549450 22318075 22544040 22718800 23348140 24422710 24625740 24913200 26470275 26677885 26781690 27468400 27909172 28017768 28180050 28234960 28732600 29185175 29307252 30352582 30782175 32013462 32578800 32834320 34078200 34479120 34886465 35022210 35293700 35296894 35708920 36634065 37573400 39076336 41042900 41202600 41863758 42352440 42684616 42850704 43098900 44636150 45088080 45528873 46696280 48845420 49251480 52940550 52945341 53355770 53563380 55818344 56035536 56360100 57465200 58370350 58614504 60705164 61056775 61564350 64026924 66954225 68156400 69772930 70044420 70587400 70593788 71417840 73268130 75146800 75881455 80033655 82085800 82405200 83727516 84704880 85369232 86197800 87555525 88242235 89272300 90704809 91057746 93392560 97690840 98502960 104659395 105881100 105890682 106711540 107126760 111636688 112720200 116740700 117229008 121410328 122113550 123128700 128053848 133389425 133908450 139545860 140088840 141174800 141187576 146536260 151762910 160067310 164171600 167455032 172395600 174432325 175111050 176484470 178544600 181409618 182115492 183170325 195381680 209318790 211762200 211781364 213423080 214253520 225440400 227644365 229429811 233481400 242820656 244227100 246257400 256107696 264726705 266778850 267816900 272114427 279091720 280177680 282375152 293072520 300023599 303525820 320134620 334910064 348864650 350222100 352968940 357089200 362819236 364230984 366340650 379407275 400168275 418637580 423524400 423562728 426846160 441211175 453524045 455288730 458859622 466962800 488454200 492514800 523296975 529453410 533557700 535633800 544228854 558183440 586145040 600047198 607051640 640269240 688289433 697729300 700444200 705937880 725638472 728461968 732681300 758814550 800336550 837275160 847125456 882422350 900070797 907048090 910577460 917719244 976908400 1046593950 1058906820 1067115400 1071267600 1088457708 1138221825 1147149055 1200094396 1214103280 1280538480 1323633525 1360572135 1376578866 1395458600 1400888400 1411875760 1451276944 1465362600 1500117995 1517629100 1600673100 1674550320 1764844700 1800141594 1814096180 1821154920 1835438488 2093187900 2117813640 2134230800 2176915416 2267620225 2276443650 2294298110 2400188792 2647267050 2721144270 2753157732 2790917200 2930725200 3000235990 3035258200 3201346200 3441447165 3529689400 3600283188 3628192360 3642309840 3670876976 3900306787 4186375800 4235627280 4353830832 4500353985 4535240450 4552887300 4588596220 4800377584 5294534100 5442288540 5506315464 5735745275 6000471980 6070516400 6402692400 6802860675 6882894330 7059378800 7200566376 7256384720 7500589975 7800613574 8372751600 9000707970 9070480900 9105774600 9177192440 10589068200 10884577080 11012630928 11471490550 11700920361 12000943960 13605721350 13765788660 14401132752 15001179950 15601227148 17207235825 18001415940 18140961800 18211549200 18354384880 19501533935 21178136400 21769154160 22501769925 22942981100 23401840722 24001887920 27211442700 27531577320 30002359900 31202454296 34414471650 36002831880 36281923600 39003067870 45003539850 45885962200 46803681444 54422885400 55063154640 58504601805 60004719800 62404908592 68828943300 72005663760 78006135740 90007079700 91771924400 93607362888 97507669675 108845770800 117009203610 120009439600 137657886600 156012271480 180014159400 187214725776 195015339350 234018407220 275315773200 292523009025 312024542960 360028318800 390030678700 468036814440 585046018050 780061357400 936073628880 1170092036100 1560122714800 2340184072200 4680368144400
• Sum of all divisors σ(n): 17572480789248
• Sum of proper divisors (its aliquot sum) s(n): 12892112644848
• 4680368144400 is an abundant number, because the sum of its proper divisors (12892112644848) is greater than itself. Its abundance is 8211744500448

Bases of 4680368144400

• Binary: 1000100000110111011101011100100000000010000₂
• Hexadecimal: 0x441BBAE4010
• Base-36: 1NQ4QCL5C

Squares and roots of 4680368144400

• 4680368144400 squared (4680368144400²) is 21905845967114299251360000
• 4680368144400 cubed (4680368144400³) is 102527423640614976209794112376384000000
• The square root of 4680368144400 is 2163415.8510096943
• The cube root of 4680368144400 is 16727.3318009639

Scales and comparisons

• 4,680,368,144,400 seconds is equal to 148,821 years, 11 weeks, 6 days, 14 hours, 20 minutes.
• To count from 1 to 4,680,368,144,400 would take you about three hundred seventy-two thousand and fifty-three 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 4680368144400 cubic inches would be around 1393.9 feet tall.

Recreational maths with 4680368144400

• 4680368144400 backwards is 0044418630864
• 4680368144400 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 4680368144400's digits is 48
• More coming soon!