146389908345120

Names of 146389908345120

• Cardinal: 146389908345120 can be written as One hundred forty-six trillion, three hundred eighty-nine billion, nine hundred eight million, three hundred forty-five thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.4638990834512 × 10¹⁴

Factors of 146389908345120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1947038

Divisors of 146389908345120

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 47 48 55 60 66 72 80 88 90 94 96 99 101 110 120 132 141 144 160 165 176 180 188 198 202 220 235 240 264 282 288 303 330 352 360 376 396 404 423 440 470 480 495 505 517 528 564 606 660 705 720 752 792 808 846 880 909 940 990 1010 1034 1056 1111 1128 1212 1320 1410 1440 1504 1515 1551 1584 1616 1692 1760 1818 1880 1980 2020 2068 2115 2222 2256 2424 2585 2640 2820 3030 3102 3168 3232 3333 3384 3636 3760 3960 4040 4136 4230 4444 4512 4545 4653 4747 4848 5170 5280 5555 5640 6060 6204 6666 6768 7272 7520 7755 7920 8080 8272 8460 8888 9090 9306 9494 9696 9999 10340 11110 11280 12120 12408 13332 13536 14241 14544 15510 15840 16160 16544 16665 16920 17776 18180 18612 18988 19998 20680 22220 22560 23265 23735 24240 24816 26664 28482 29088 31020 33330 33840 35552 36360 37224 37976 39996 41360 42723 44440 46530 47470 48480 49632 49995 52217 53328 56964 62040 66660 67680 71205 72720 74448 75952 79992 82720 85446 88880 93060 94940 99990 104434 106656 113928 124080 133320 142410 145440 148896 151904 156651 159984 170892 177760 186120 189880 199980 208868 213615 227856 248160 261085 266640 284820 313302 319968 341784 372240 379760 399960 417736 427230 455712 469953 522170 533280 569640 626604 683568 744480 759520 783255 799920 835472 854460 939906 1044340 1139280 1253208 1367136 1566510 1599840 1670944 1708920 1879812 1946869 2088680 2278560 2349765 2506416 3133020 3417840 3759624 3893738 4177360 4699530 5012832 5840607 6266040 6835680 7519248 7787476 8354720 9399060 9734345 11681214 12532080 15038496 15574952 17521821 18798120 19468690 21415559 23362428 25064160 29203035 31149904 35043642 37596240 38937380 42831118 46724856 58406070 62299808 64246677 70087284 75192480 77874760 85662236 87609105 91502843 93449712 107077795 116812140 128493354 140174568 155749520 171324472 175218210 183005686 186899424 192740031 196633769 214155590 233624280 256986708 274508529 280349136 311499040 321233385 342648944 350436420 366011372 385480062 393267538 428311180 457514215 467248560 513973416 549017058 560698272 589901307 642466770 685297888 700872840 732022744 770960124 786535076 823525587 856622360 915028430 934497120 963700155 983168845 1006531273 1027946832 1098034116 1179802614 1284933540 1372542645 1401745680 1464045488 1541920248 1573070152 1647051174 1713244720 1769703921 1830056860 1927400310 1966337690 2013062546 2055893664 2162971459 2196068232 2359605228 2569867080 2745085290 2803491360 2928090976 2949506535 3019593819 3083840496 3146140304 3294102348 3426489440 3539407842 3660113720 3854800620 3932675380 4026125092 4117627935 4325942918 4392136464 4719210456 5032656365 5139734160 5490170580 5899013070 6039187638 6167680992 6292280608 6488914377 6588204696 7078815684 7320227440 7709601240 7865350760 8052250184 8235255870 8651885836 8784272928 8848519605 9058781457 9241787143 9438420912 10065312730 10279468320 10814857295 10980341160 11798026140 12078375276 12977828754 13176409392 14157631368 14640454880 15097969095 15419202480 15730701520 16104500368 16470511740 17303771672 17697039210 18117562914 18483574286 18876841824 19466743131 20130625460 21629714590 21960682320 23596052280 24156750552 25955657508 26352818784 27725361429 28315262736 30195938190 30838404960 31461403040 32209000736 32444571885 32941023480 34607543344 35394078420 36235125828 36967148572 38933486262 40261250920 43259429180 43921364640 45293907285 46208935715 47192104560 48313501104 51911315016 55450722858 56630525472 60391876380 64889143770 65882046960 69215086688 70788156840 72470251656 73934297144 77866972524 80522501840 83176084287 86518858360 90587814570 92417871430 94384209120 96627002208 97333715655 101659658573 103822630032 110901445716 120783752760 129778287540 131764093920 138626807145 141576313680 144940503312 147868594288 155733945048 161045003680 166352168574 173037716720 181175629140 184835742860 194667431310 203319317146 207645260064 221802891432 241567505520 259556575080 277253614290 283152627360 289881006624 295737188576 304978975719 311467890096 332704337148 346075433440 362351258280 369671485720 389334862620 406638634292 415880421435 443605782864 483135011040 508298292865 519113150160 554507228580 609957951438 622935780192 665408674296 724702516560 739342971440 778669725240 813277268584 831760842870 887211565728 914936927157 1016596585730 1038226300320 1109014457160 1219915902876 1330817348592 1449405033120 1478685942880 1524894878595 1557339450480 1626554537168 1663521685740 1829873854314 2033193171460 2218028914320 2439831805752 2661634697184 3049789757190 3114678900960 3253109074336 3327043371480 3659747708628 4066386342920 4436057828640 4574684635785 4879663611504 6099579514380 6654086742960 7319495417256 8132772685840 9149369271570 9759327223008 12199159028760 13308173485920 14638990834512 16265545371680 18298738543140 24398318057520 29277981669024 36597477086280 48796636115040 73194954172560 146389908345120
• Sum of all divisors σ(n): 562075635663360
• Sum of proper divisors (its aliquot sum) s(n): 415685727318240
• 146389908345120 is an abundant number, because the sum of its proper divisors (415685727318240) is greater than itself. Its abundance is 269295818973120

Bases of 146389908345120

• Binary: 100001010010010000001110011111000101000100100000₂
• Hexadecimal: 0x85240E7C5120
• Base-36: 1FW2LFR480

Squares and roots of 146389908345120

• 146389908345120 squared (146389908345120²) is 21430005265292634217027814400
• 146389908345120 cubed (146389908345120³) is 3137136506621627733266147704437714505728000
• The square root of 146389908345120 is 12099169.7378423451
• The cube root of 146389908345120 is 52703.2074094575

Scales and comparisons

• 146,389,908,345,120 seconds is equal to 4,654,746 years, 14 weeks, 21 hours, 12 minutes.
• To count from 1 to 146,389,908,345,120 would take you about eleven million, six hundred thirty-six thousand, eight hundred sixty-five 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 146389908345120 cubic inches would be around 4391.9 feet tall.

Recreational maths with 146389908345120

• 146389908345120 backwards is 021543809983641
• The number of decimal digits it has is: 15
• The sum of 146389908345120's digits is 63
• More coming soon!