146199476994048

Names of 146199476994048

• Cardinal: 146199476994048 can be written as One hundred forty-six trillion, one hundred ninety-nine billion, four hundred seventy-six million, nine hundred ninety-four thousand and forty-eight.

Scientific notation

• Scientific notation: 1.46199476994048 × 10¹⁴

Factors of 146199476994048

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 105

Divisors of 146199476994048

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 83 96 102 108 128 136 144 153 166 192 204 216 249 256 272 288 289 306 332 384 408 432 459 498 512 544 576 578 612 664 747 768 816 864 867 918 996 1024 1088 1152 1156 1224 1328 1411 1494 1536 1632 1728 1734 1836 1992 2048 2176 2241 2304 2312 2448 2601 2656 2822 2988 3072 3264 3456 3468 3672 3984 4096 4233 4352 4482 4608 4624 4896 5202 5312 5644 5976 6144 6528 6889 6912 6936 7344 7803 7968 8192 8466 8704 8964 9216 9248 9792 10404 10624 11288 11952 12288 12699 13056 13778 13824 13872 14688 15606 15936 16384 16932 17408 17928 18432 18496 19584 20667 20808 21248 22576 23904 23987 24576 25398 26112 27556 27648 27744 29376 31212 31872 32768 33864 34816 35856 36864 36992 38097 39168 41334 41616 42496 45152 47808 47974 49152 50796 52224 55112 55296 55488 58752 62001 62424 63744 67728 69632 71712 71961 73728 73984 76194 78336 82668 83232 84992 90304 95616 95948 98304 101592 104448 110224 110592 110976 117113 117504 124002 124848 127488 135456 139264 143424 143922 147456 147968 152388 156672 165336 166464 169984 180608 186003 191232 191896 203184 208896 215883 220448 221184 221952 234226 235008 248004 249696 254976 270912 278528 286848 287844 294912 295936 304776 313344 330672 332928 339968 351339 361216 372006 382464 383792 406368 417792 431766 440896 442368 443904 468452 470016 496008 499392 509952 541824 557056 571787 573696 575688 591872 609552 626688 647649 661344 665856 679936 702678 722432 744012 764928 767584 812736 835584 863532 881792 884736 887808 936904 940032 992016 998784 1019904 1054017 1083648 1143574 1147392 1151376 1183744 1219104 1253376 1295298 1322688 1331712 1359872 1405356 1444864 1488024 1529856 1535168 1625472 1671168 1715361 1727064 1763584 1775616 1873808 1880064 1984032 1990921 1997568 2039808 2108034 2167296 2287148 2294784 2302752 2367488 2438208 2506752 2590596 2645376 2663424 2719744 2810712 2889728 2976048 3059712 3070336 3162051 3250944 3430722 3454128 3527168 3551232 3747616 3760128 3968064 3981842 3995136 4079616 4216068 4334592 4574296 4589568 4605504 4734976 4876416 5013504 5146083 5181192 5290752 5326848 5621424 5779456 5952096 5972763 6119424 6140672 6324102 6501888 6861444 6908256 7054336 7102464 7495232 7520256 7936128 7963684 7990272 8159232 8432136 8669184 9148592 9179136 9211008 9469952 9720379 9752832 10292166 10362384 10581504 10653696 11242848 11558912 11904192 11945526 12238848 12281344 12648204 13003776 13722888 13816512 14108672 14204928 14990464 15040512 15438249 15872256 15927368 15980544 16864272 17338368 17918289 18297184 18358272 18422016 19440758 19505664 20584332 20724768 21163008 21307392 22485696 23117824 23808384 23891052 24477696 24562688 25296408 26007552 27445776 27633024 28217344 28409856 29161137 29980928 30876498 31744512 31854736 31961088 33728544 34676736 35836578 36594368 36716544 36844032 38881516 39011328 41168664 41449536 42326016 42614784 44971392 46235648 47616768 47782104 49125376 50592816 52015104 53754867 54891552 55266048 56434688 58322274 59961856 61752996 63489024 63709472 63922176 67457088 69353472 71673156 73188736 73433088 73688064 77763032 78022656 82337328 82899072 84652032 85229568 87483411 89942784 95233536 95564208 98250752 101185632 104030208 107509734 109783104 110532096 112869376 116644548 119923712 123505992 126978048 127418944 127844352 134914176 138706944 143346312 146377472 147376128 155526064 156045312 164674656 165246443 165798144 169304064 174966822 179885568 190467072 191128416 196501504 202371264 208060416 215019468 219566208 221064192 225738752 233289096 239847424 247011984 253956096 254837888 255688704 262450233 269828352 286692624 292754944 294752256 311052128 312090624 329349312 330492886 331596288 338608128 349933644 359771136 380934144 382256832 393003008 404742528 416120832 430038936 439132416 442128384 466578192 479694848 494023968 495739329 507912192 509675776 524900466 539656704 573385248 585509888 589504512 622104256 624181248 658698624 660985772 663192576 677216256 699867288 719542272 761868288 764513664 786006016 809485056 860077872 878264832 884256768 933156384 959389696 988047936 991478658 1015824384 1019351552 1049800932 1079313408 1146770496 1171019776 1179009024 1244208512 1248362496 1317397248 1321971544 1326385152 1399734576 1439084544 1487217987 1523736576 1529027328 1618970112 1720155744 1756529664 1768513536 1866312768 1918779392 1976095872 1982957316 2031648768 2038703104 2099601864 2158626816 2293540992 2342039552 2358018048 2488417024 2634794496 2643943088 2652770304 2799469152 2878169088 2974435974 3047473152 3058054656 3237940224 3440311488 3513059328 3537027072 3732625536 3837558784 3952191744 3965914632 4077406208 4199203728 4317253632 4461653961 4587081984 4684079104 4976834048 5269588992 5287886176 5305540608 5598938304 5756338176 5948871948 6094946304 6116109312 6475880448 6880622976 7026118656 7074054144 7465251072 7904383488 7931829264 8154812416 8398407456 8634507264 8923307922 9174163968 9368158208 9953668096 10539177984 10575772352 10611081216 11197876608 11512676352 11897743896 12232218624 12951760896 13761245952 14052237312 14930502144 15808766976 15863658528 16309624832 16796814912 17269014528 17846615844 18348327936 18736316416 19907336192 21078355968 21151544704 21222162432 22395753216 23795487792 24464437248 25903521792 27522491904 28104474624 29861004288 31617533952 31727317056 32619249664 33593629824 34538029056 35693231688 36696655872 39814672384 42156711936 42303089408 44791506432 47590975584 48928874496 51807043584 55044983808 56208949248 59722008576 63235067904 63454634112 65238499328 67187259648 71386463376 73393311744 79629344768 84313423872 84606178816 89583012864 95181951168 97857748992 103614087168 110089967616 119444017152 126470135808 126909268224 134374519296 142772926752 146786623488 159258689536 168626847744 169212357632 179166025728 190363902336 195715497984 220179935232 238888034304 252940271616 253818536448 268749038592 285545853504 293573246976 318517379072 338424715264 358332051456 380727804672 440359870464 477776068608 505880543232 507637072896 537498077184 571091707008 587146493952 676849430528 716664102912 761455609344 880719740928 955552137216 1015274145792 1074996154368 1142183414016 1353698861056 1433328205824 1522911218688 1761439481856 2030548291584 2149992308736 2284366828032 2707397722112 2866656411648 3045822437376 4061096583168 4299984617472 4568733656064 5414795444224 6091644874752 8122193166336 8599969234944 9137467312128 12183289749504 16244386332672 18274934624256 24366579499008 36549869248512 48733158998016 73099738497024 146199476994048
• Sum of all divisors σ(n): 465768569448000
• Sum of proper divisors (its aliquot sum) s(n): 319569092453952
• 146199476994048 is an abundant number, because the sum of its proper divisors (319569092453952) is greater than itself. Its abundance is 173369615459904

Bases of 146199476994048

• Binary: 100001001111011110110111111001001000000000000000₂
• Hexadecimal: 0x84F7B7E48000
• Base-36: 1FTN41UDC0

Squares and roots of 146199476994048

• 146199476994048 squared (146199476994048²) is 21374287073333170425827426304
• 146199476994048 cubed (146199476994048³) is 3124909591241950406347357987526318166638592
• The square root of 146199476994048 is 12091297.5728020191
• The cube root of 146199476994048 is 52680.3444990729

Scales and comparisons

• 146,199,476,994,048 seconds is equal to 4,648,691 years, 7 weeks, 3 days, 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 146,199,476,994,048 would take you about eleven million, six hundred twenty-one thousand, seven hundred twenty-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 146199476994048 cubic inches would be around 4390 feet tall.

Recreational maths with 146199476994048

• 146199476994048 backwards is 840499674991641
• The number of decimal digits it has is: 15
• The sum of 146199476994048's digits is 81
• More coming soon!