146172123420133680

Names of 146172123420133680

• Cardinal: 146172123420133680 can be written as One hundred forty-six quadrillion, one hundred seventy-two trillion, one hundred twenty-three billion, four hundred twenty million, one hundred thirty-three thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.4617212342013368 × 10¹⁷

Factors of 146172123420133680

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 622678

Divisors of 146172123420133680

• 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 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 240 246 270 328 360 369 410 432 492 540 547 615 656 720 738 820 984 1080 1094 1107 1230 1476 1640 1641 1845 1968 2160 2188 2214 2460 2735 2952 3280 3282 3690 4376 4428 4889 4920 4923 5470 5535 5904 6564 7380 8205 8752 8856 9778 9840 9846 10940 11070 13128 14667 14760 14769 16410 17712 19556 19692 21880 22140 22427 24445 24615 26256 29334 29520 29538 32820 39112 39384 43760 44001 44280 44854 48890 49230 58668 59076 65640 67281 73335 73845 78224 78768 88002 88560 89708 97780 98460 112135 117336 118152 131280 132003 134562 146670 147690 176004 179416 195560 196920 200449 201843 220005 224270 234672 236304 264006 269124 293340 295380 336405 352008 358832 391120 393840 400898 403686 440010 448540 528012 538248 586680 590760 601347 605529 617191 660015 672810 704016 801796 807372 880020 897080 1002245 1009215 1056024 1076496 1173360 1181520 1202694 1211058 1234382 1320030 1345620 1603592 1614744 1760040 1794160 1804041 1851573 2004490 2018430 2112048 2405388 2422116 2468764 2640060 2674283 2691240 3006735 3027645 3085955 3207184 3229488 3520080 3608082 3703146 4008980 4036860 4810776 4844232 4937528 5280120 5348566 5382480 5412123 5554719 6013470 6055290 6171910 7216164 7406292 8017960 8022849 8073720 9020205 9257865 9621552 9688464 9875056 10560240 10697132 10824246 11109438 12026940 12110580 12343820 13371415 14432328 14812584 16035920 16045698 16147440 16664157 18040410 18515730 21394264 21648492 22218876 24053880 24068547 24221160 24687640 25304831 26742830 27060615 27773595 28864656 29625168 32091396 33328314 36080820 37031460 40114245 42788528 43296984 44437752 48107760 48137094 48442320 49375280 50609662 53485660 54121230 55547190 64182792 66656628 72161640 72205641 74062920 75914493 80228490 83320785 86593968 88875504 96274188 101219324 106971320 108242460 109645603 111094380 120342735 126524155 128365584 133313256 144323280 144411282 148125840 151828986 160456980 166641570 192548376 202438648 213942640 216484920 219291206 222188760 227743479 240685470 253048310 266626512 288822564 303657972 320913960 328936809 333283140 337603477 361028205 379572465 385096752 404877296 432969840 438582412 444377520 455486958 481370940 506096620 548228015 577645128 607315944 641827920 657873618 666566280 675206954 683230437 722056410 759144930 877164824 910973916 962741880 986810427 1012193240 1012810431 1096456030 1138717395 1155290256 1214631888 1315747236 1333132560 1350413908 1366460874 1444112820 1518289860 1644684045 1688017385 1754329648 1821947832 1925483760 1973620854 2024386480 2025620862 2192912060 2277434790 2631494472 2700827816 2732921748 2888225640 2960431281 3017446799 3036579720 3038431293 3289368090 3376034770 3416152185 3643895664 3947241708 4051241724 4385824120 4554869580 4934052135 5064052155 5262988944 5401655632 5465843496 5776451280 5920862562 6034893598 6073159440 6076862586 6578736180 6752069540 6832304370 7894483416 8102483448 8771648240 9052340397 9109739160 9115293879 9868104270 10128104310 10931686992 11841725124 12069787196 12153725172 13157472360 13504139080 13664608740 13841742557 14802156405 15087233995 15192156465 15788966832 16204966896 18104680794 18219478320 18230587758 19736208540 20256208620 23683450248 24139574392 24307450344 26314944720 27008278160 27157021191 27329217480 27683485114 29604312810 30174467990 30384312930 36209361588 36461175516 39472417080 40512417240 41525227671 45261701985 45576469395 47366900496 48279148784 48614900688 54314042382 54658434960 55366970228 59208625620 60348935980 60768625860 69208712785 72418723176 72922351032 78944834160 81024834480 81471063573 83050455342 90523403970 91152938790 108628084764 110733940456 118417251240 120697871960 121537251720 123715318759 124575683013 135785105955 138417425570 144837446352 145844702064 162942127146 166100910684 181046807940 182305877580 207626138355 217256169528 221467880912 236834502480 241395743920 243074503440 247430637518 249151366026 271570211910 276834851140 325884254292 332201821368 362093615880 364611755160 371145956277 373727049039 407355317865 415252276710 434512339056 494861275036 498302732052 543140423820 553669702280 618576593795 622878415065 651768508584 664403642736 724187231760 729223510320 742291912554 747454098078 814710635730 830504553420 989722550072 996605464104 1086280847640 1107339404560 1113437868831 1237153187590 1245756830130 1303537017168 1484583825108 1494908196156 1629421271460 1650543399053 1661009106840 1855729781385 1868635245195 1979445100144 1993210928208 2172561695280 2226875737662 2474306375180 2491513660260 2969167650216 2989816392312 3258842542920 3301086798106 3322018213680 3340313606493 3711459562770 3737270490390 4453751475324 4948612750360 4951630197159 4983027320520 5567189344155 5938335300432 5979632784624 6517685085840 6602173596212 6680627212986 7422919125540 7474540980780 8252716995265 8907502950648 9897225500720 9903260394318 9966054641040 11134378688310 13204347192424 13361254425972 14845838251080 14854890591477 14949081961560 16505433990530 16701568032465 17815005901296 19806520788636 22268757376620 24758150985795 26408694384848 26722508851944 29691676502160 29709781182954 29898163923120 33010867981060 33403136064930 39613041577272 44537514753240 44564671774431 49516301971590 53445017703888 59419562365908 66021735962120 66806272129860 67672279361173 74274452957385 79226083154544 89075029506480 89129343548862 99032603943180 118839124731816 132043471924240 133612544259720 135344558722346 148548905914770 178258687097724 198065207886360 203016838083519 222823358872155 237678249463632 267225088519440 270689117444692 297097811829540 338361396805865 356517374195448 396130415772720 406033676167038 445646717744310 541378234889384 594195623659080 609050514250557 676722793611730 713034748390896 812067352334076 891293435488620 1015084190417595 1082756469778768 1188391247318160 1218101028501114 1353445587223460 1624134704668152 1782586870977240 1827151542751671 2030168380835190 2436202057002228 2706891174446920 3045252571252785 3248269409336304 3565173741954480 3654303085503342 4060336761670380 4872404114004456 5413782348893840 6090505142505570 7308606171006684 8120673523340760 9135757713758355 9744808228008912 12181010285011140 14617212342013368 16241347046681520 18271515427516710 24362020570022280 29234424684026736 36543030855033420 48724041140044560 73086061710066840 146172123420133680
• Sum of all divisors σ(n): 516811217665075200
• Sum of proper divisors (its aliquot sum) s(n): 370639094244941520
• 146172123420133680 is an abundant number, because the sum of its proper divisors (370639094244941520) is greater than itself. Its abundance is 224466970824807840

Bases of 146172123420133680

• Binary: 1000000111010011101100010110010100100001011000100100110000₂
• Hexadecimal: 0x2074EC594858930
• Base-36: 13Z9OYH3YLO0

Squares and roots of 146172123420133680

• 146172123420133680 squared (146172123420133680²) is 21366289665150793075317589070342400
• 146172123420133680 cubed (146172123420133680³) is 3123155929964748443918641343305240809765931372032000
• The square root of 146172123420133680 is 382324630.9357189191
• The cube root of 146172123420133680 is 526770.5883849233

Scales and comparisons

• 146,172,123,420,133,680 seconds is equal to 4,647,821,384 years, 36 weeks, 1 day, 7 hours, 48 minutes.
• To count from 1 to 146,172,123,420,133,680 would take you about thirteen billion, nine hundred forty-three million, four hundred sixty-four thousand, one hundred fifty-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 146172123420133680 cubic inches would be around 43897.5 feet tall.

Recreational maths with 146172123420133680

• 146172123420133680 backwards is 086331024321271641
• 146172123420133680 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 146172123420133680's digits is 54
• More coming soon!