146926821929350400

Names of 146926821929350400

• Cardinal: 146926821929350400 can be written as One hundred forty-six quadrillion, nine hundred twenty-six trillion, eight hundred twenty-one billion, nine hundred twenty-nine million, three hundred fifty thousand, four hundred.

Scientific notation

• Scientific notation: 1.469268219293504 × 10¹⁷

Factors of 146926821929350400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 80889

Divisors of 146926821929350400

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 151 160 175 200 224 256 280 302 320 350 400 448 560 604 640 700 755 800 896 1057 1120 1208 1280 1400 1510 1600 1792 1823 2114 2240 2416 2800 3020 3200 3646 3775 4228 4480 4832 5285 5600 6040 6400 7292 7550 8456 8960 9115 9664 10570 11200 12080 12761 14584 15100 16912 18230 19328 21140 22400 22801 24160 25522 26425 29168 30200 33824 36460 38656 42280 44800 45575 45602 48320 51044 52850 58336 60400 63805 67648 72920 78901 84560 91150 91204 96640 102088 105700 114005 116672 120800 127610 135296 145840 157802 159607 169120 182300 182408 193280 204176 211400 228010 233344 241600 255220 270592 275273 291680 315604 319025 319214 338240 364600 364816 394505 408352 422800 456020 466688 483200 510440 550546 552307 570025 583360 631208 638050 638428 676480 729200 729632 789010 798035 816704 845600 912040 966400 1020880 1101092 1104614 1140050 1166720 1262416 1276100 1276856 1352960 1376365 1458400 1459264 1578020 1596070 1633408 1691200 1824080 1926911 1972525 2041760 2202184 2209228 2280100 2333440 2524832 2552200 2553712 2752730 2761535 2916800 2918528 3156040 3192140 3266816 3382400 3648160 3853822 3945050 3990175 4083520 4404368 4418456 4560200 5049664 5104400 5107424 5505460 5523070 5833600 5837056 6312080 6384280 6764800 6881825 7296320 7707644 7890100 7980350 8167040 8808736 8836912 9120400 9634555 10099328 10208800 10214848 11010920 11046140 11667200 11914051 12624160 12768560 13763650 13807675 14592640 15415288 15780200 15960700 16334080 17617472 17673824 18240800 19269110 20198656 20417600 20429696 22021840 22092280 23828102 25248320 25537120 27527300 27615350 29185280 30830576 31560400 31921400 35234944 35347648 36481600 38538220 40835200 40859392 41566223 44043680 44184560 47656204 48172775 50496640 51074240 55054600 55230700 59570255 61661152 63120800 63842800 70469888 70695296 72963200 77076440 81670400 83132446 83398357 88087360 88369120 95312408 96345550 100993280 102148480 110109200 110461400 119140510 123322304 126241600 127685600 141390592 143836523 145926400 154152880 166264892 166796714 176174720 176738240 190624816 192691100 204296960 207831115 220218400 220922800 238281020 246644608 252483200 255371200 287673046 290963561 297851275 308305760 332529784 333593428 352349440 353476480 381249632 385382200 415662230 416991785 440436800 441845600 476562040 493289216 504966400 510742400 575346092 581927122 595702550 616611520 665059568 667186856 706952960 719182615 762499264 770764400 831324460 833983570 880873600 883691200 953124080 1006855661 1021484800 1039155575 1150692184 1163854244 1191405100 1233223040 1330119136 1334373712 1438365230 1454817805 1524998528 1541528800 1662648920 1667967140 1761747200 1767382400 1799021701 1906248160 2013711322 2078311150 2084958925 2301384368 2327708488 2382810200 2466446080 2660238272 2668747424 2876730460 2909635610 3049997056 3083057600 3325297840 3335934280 3534764800 3595913075 3598043402 3812496320 4027422644 4156622300 4169917850 4602768736 4655416976 4765620400 5034278305 5320476544 5337494848 5753460920 5819271220 6166115200 6650595680 6671868560 7191826150 7196086804 7274089025 7624992640 8054845288 8313244600 8339835700 8995108505 9205537472 9310833952 9531240800 10068556610 10640953088 10674989696 11506921840 11638542440 12332230400 12593151907 13301191360 13343737120 14383652300 14392173608 14548178050 15249985280 16109690576 16626489200 16679671400 17990217010 18411074944 18621667904 19062481600 20137113220 21349979392 21719314973 23013843680 23277084880 25171391525 25186303814 26602382720 26687474240 28767304600 28784347216 29096356100 32219381152 33252978400 33359342800 35980434020 36822149888 37243335808 38124963200 40274226440 43438629946 44975542525 46027687360 46554169760 50342783050 50372607628 53204765440 53374948480 57534609200 57568694432 58192712200 62965759535 64438762304 66505956800 66718685600 71960868040 74486671616 76249926400 80548452880 86877259892 89951085050 92055374720 93108339520 100685566100 100745215256 106749896960 108596574865 115069218400 115137388864 116385424400 125931519070 128877524608 133011913600 133437371200 143921736080 152035204811 161096905760 173754519784 179902170100 184110749440 186216679040 201371132200 201490430512 217193149730 230138436800 230274777728 232770848800 251863038140 257755049216 266023827200 266874742400 287843472160 304070409622 314828797675 322193811520 347509039568 359804340200 372433358080 402742264400 402980861024 434386299460 460276873600 460549555456 465541697600 503726076280 533749484800 542982874325 575686944320 608140819244 629657595350 644387623040 695018079136 719608680400 760176024055 805484528800 805961722048 868772598920 920553747200 931083395200 1007452152560 1085965748650 1151373888640 1216281638488 1259315190700 1288775246080 1390036158272 1439217360800 1520352048110 1610969057600 1611923444096 1737545197840 1862166790400 2014904305120 2171931497300 2302747777280 2432563276976 2518630381400 2780072316544 2878434721600 3040704096220 3221938115200 3223846888192 3279616560923 3475090395680 3800880120275 4029808610240 4343862994600 4865126553952 5037260762800 5560144633088 5756869443200 6081408192440 6443876230400 6559233121846 6950180791360 7601760240550 8059617220480 8687725989200 9730253107904 10074521525600 11513738886400 12162816384880 13118466243692 13900361582720 15203520481100 16119234440960 16398082804615 17375451978400 19460506215808 20149043051200 22957315926461 24325632769760 26236932487384 27800723165440 30407040962200 32796165609230 34750903956800 38921012431616 40298086102400 45914631852922 48651265539520 52473864974768 60814081924400 65592331218460 69501807913600 80596172204800 81990414023075 91829263705844 97302531079040 104947729949536 114786579632305 121628163848800 131184662436920 139003615827200 163980828046150 183658527411688 194605062158080 209895459899072 229573159264610 243256327697600 262369324873840 327961656092300 367317054823376 419790919798144 459146318529220 486512655395200 524738649747680 573932898161525 655923312184600 734634109646752 839581839596288 918292637058440 973025310790400 1049477299495360 1147865796323050 1311846624369200 1469268219293504 1836585274116880 2098954598990720 2295731592646100 2623693248738400 2938536438587008 3673170548233760 4197909197981440 4591463185292200 5247386497476800 5877072877174016 7346341096467520 9182926370584400 10494772994953600 14692682192935040 18365852741168800 20989545989907200 29385364385870080 36731705482337600 73463410964675200 146926821929350400
• Sum of all divisors σ(n): 418624732889298432
• Sum of proper divisors (its aliquot sum) s(n): 271697910959948032
• 146926821929350400 is an abundant number, because the sum of its proper divisors (271697910959948032) is greater than itself. Its abundance is 124771089030597632

Bases of 146926821929350400

• Binary: 1000001001111111010010101010000101000100110111010100000000₂
• Hexadecimal: 0x209FD2A85137500
• Base-36: 146P7M6MLZI8

Squares and roots of 146926821929350400

• 146926821929350400 squared (146926821929350400²) is 21587491002259041597848965980160000
• 146926821929350400 cubed (146926821929350400³) is 3171781446390368198424550222179633544608088064000000
• The square root of 146926821929350400 is 383310346.7548852901
• The cube root of 146926821929350400 is 527675.6189860057

Scales and comparisons

• 146,926,821,929,350,400 seconds is equal to 4,671,818,462 years, 44 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
• To count from 1 to 146,926,821,929,350,400 would take you about fourteen billion, fifteen million, four hundred fifty-five thousand, three hundred eighty-eight 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 146926821929350400 cubic inches would be around 43973 feet tall.

Recreational maths with 146926821929350400

• 146926821929350400 backwards is 004053929128629641
• The number of decimal digits it has is: 18
• The sum of 146926821929350400's digits is 71
• More coming soon!