146138804231760

Names of 146138804231760

• Cardinal: 146138804231760 can be written as One hundred forty-six trillion, one hundred thirty-eight billion, eight hundred four million, two hundred thirty-one thousand, seven hundred sixty.

Scientific notation

• Scientific notation: 1.4613880423176 × 10¹⁴

Factors of 146138804231760

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 460976

Divisors of 146138804231760

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 61 72 80 83 87 90 108 116 120 122 135 144 145 166 174 180 183 216 232 240 244 249 261 270 290 305 332 348 360 366 415 432 435 464 488 498 522 540 549 580 610 664 696 720 732 747 783 830 870 915 976 996 1044 1080 1098 1160 1220 1245 1305 1328 1392 1464 1494 1566 1647 1660 1740 1769 1830 1992 2088 2160 2196 2241 2320 2407 2440 2490 2610 2745 2928 2988 3132 3294 3320 3480 3538 3660 3735 3915 3984 4176 4392 4482 4814 4880 4980 5063 5220 5307 5490 5976 6264 6588 6640 6960 7076 7221 7320 7470 7830 8235 8784 8845 8964 9628 9960 10126 10440 10614 10980 11205 11952 12035 12528 13176 14152 14442 14640 14940 15189 15660 15921 16470 17690 17928 19256 19920 20252 20880 21228 21663 21960 22410 24070 25315 26352 26535 28304 28884 29880 30378 31320 31842 32940 35380 35856 36105 38512 40504 42456 43326 43920 44820 45567 47763 48140 50630 53070 57768 59760 60756 62640 63684 64989 65880 70760 72210 75945 79605 81008 84912 86652 89640 91134 95526 96280 101260 106140 108315 115536 121512 127368 129978 131760 136701 141520 144420 146827 151890 159210 173304 179280 182268 191052 192560 202520 212280 216630 227835 238815 243024 254736 259956 273402 288840 293654 303780 318420 324945 346608 364536 382104 405040 424560 433260 440481 455670 460793 477630 519912 546804 577680 587308 607560 636840 649890 683505 729072 734135 764208 866520 880962 911340 921586 955260 1039824 1093608 1174616 1215120 1273680 1299780 1321443 1367010 1382379 1468270 1733040 1761924 1822680 1843172 1910520 2187216 2202405 2303965 2349232 2599560 2642886 2734020 2764758 2936540 3523848 3645360 3686344 3821040 3964329 4147137 4404810 4607930 5199120 5285772 5468040 5529516 5873080 6607215 6911895 7047696 7372688 7928658 8294274 8809620 9215860 10571544 10936080 11059032 11746160 12441411 13214430 13362997 13823790 15857316 16588548 17619240 18431720 19821645 20735685 21143088 22118064 24882822 26428860 26725994 27647580 28108373 31714632 33177096 35238480 36863440 38245819 39643290 40088991 41471370 49765644 52857720 53451988 55295160 56216746 62207055 63429264 66354192 66814985 76491638 79286580 80177982 82942740 84325119 99531288 105715440 106903976 110590320 112433492 114737457 120266973 124414110 133629970 140541865 152983276 158573160 160355964 165885480 168650238 191229095 199062576 200444955 213807952 224866984 229474914 240533946 248828220 252975357 267259940 281083730 305966552 317146320 320711928 331770960 337300476 344212371 360800919 382458190 400889910 421625595 449733968 458949828 481067892 497656440 505950714 534519880 562167460 573687285 601334865 611933104 641423856 674600952 688424742 721601838 758926071 764916380 801779820 815142817 843251190 917899656 962135784 995312880 1011901428 1032637113 1069039760 1109128751 1124334920 1147374570 1202669730 1264876785 1349201904 1376849484 1443203676 1517852142 1529832760 1603559640 1630285634 1686502380 1721061855 1804004595 1835799312 1924271568 2023802856 2065274226 2218257502 2248669840 2294749140 2332994959 2405339460 2445428451 2529753570 2753698968 2886407352 3035704284 3059665520 3207119280 3260571268 3327386253 3373004760 3442123710 3608009190 3794630355 4047605712 4075714085 4130548452 4436515004 4589498280 4665989918 4810678920 4890856902 5059507140 5163185565 5507397936 5545643755 5772814704 6071408568 6521142536 6654772506 6746009520 6884247420 6998984877 7216018380 7336285353 7589260710 8151428170 8261096904 8873030008 9178996560 9331979836 9621357840 9781713804 9982158759 10119014280 10326371130 11091287510 11664974795 12142817136 12227142255 13042285072 13309545012 13768494840 13997969754 14432036760 14672570706 15178521420 16302856340 16522193808 16636931265 17746060016 18663959672 19563427608 19964317518 20238028560 20652742260 20996954631 22008856059 22182575020 23329949590 24454284510 26619090024 27536989680 27995939508 28864073520 29345141412 29946476277 30357042840 32605712680 33273862530 34994924385 36681426765 37327919344 39126855216 39928635036 41305484520 41993909262 44017712118 44365150040 46659899180 48908569020 49910793795 53238180048 55991879016 58690282824 59892952554 60714085680 62990863893 65211425360 66547725060 67656853811 69989848770 73362853530 79857270072 82610969040 83987818524 88035424236 88730300080 93319798360 97817138040 99821587590 104984773155 110044280295 111983758032 117380565648 119785905108 125981727786 133095450120 135313707622 139979697540 146725707060 149732381385 159714540144 167975637048 176070848472 186639596720 195634276080 199643175180 202970561433 209969546310 220088560590 239571810216 251963455572 266190900240 270627415244 279959395080 293451414120 299464762770 314954319465 335951274096 338284269055 352141696944 399286350360 405941122866 419939092620 440177121180 479143620432 503926911144 541254830488 559918790160 586902828240 598929525540 608911684299 629908638930 676568538110 798572700720 811882245732 839878185240 880354242360 1007853822288 1014852807165 1082509660976 1197859051080 1217823368598 1259817277860 1353137076220 1623764491464 1679756370480 1760708484720 1826735052897 2029705614330 2395718102160 2435646737196 2519634555720 2706274152440 3044558421495 3247528982928 3653470105794 4059411228660 4871293474392 5039269111440 5412548304880 6089116842990 7306940211588 8118822457320 9133675264485 9742586948784 12178233685980 14613880423176 16237644914640 18267350528970 24356467371960 29227760846352 36534701057940 48712934743920 73069402115880 146138804231760
• Sum of all divisors σ(n): 535638741926400
• Sum of proper divisors (its aliquot sum) s(n): 389499937694640
• 146138804231760 is an abundant number, because the sum of its proper divisors (389499937694640) is greater than itself. Its abundance is 243361133462880

Bases of 146138804231760

• Binary: 100001001110100110010111100000111001111001010000₂
• Hexadecimal: 0x84E997839E50
• Base-36: 1FSV8MUIC0

Squares and roots of 146138804231760

• 146138804231760 squared (146138804231760²) is 21356550102288674483792697600
• 146138804231760 cubed (146138804231760³) is 3121020694464138603513205409561465995776000
• The square root of 146138804231760 is 12088788.3690533685
• The cube root of 146138804231760 is 52673.0560455705

Scales and comparisons

• 146,138,804,231,760 seconds is equal to 4,646,761 years, 48 weeks, 5 days, 6 hours, 36 minutes.
• To count from 1 to 146,138,804,231,760 would take you about eleven million, six hundred sixteen thousand, nine hundred four 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 146138804231760 cubic inches would be around 4389.4 feet tall.

Recreational maths with 146138804231760

• 146138804231760 backwards is 067132408831641
• 146138804231760 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146138804231760's digits is 54
• More coming soon!