1948354490016

Names of 1948354490016

• Cardinal: 1948354490016 can be written as One trillion, nine hundred forty-eight billion, three hundred fifty-four million, four hundred ninety thousand and sixteen.

Scientific notation

• Scientific notation: 1.948354490016 × 10¹²

Factors of 1948354490016

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 86

Divisors of 1948354490016

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 44 48 51 53 54 66 68 72 81 88 96 99 102 106 108 132 136 144 153 159 162 176 187 198 204 212 216 243 264 272 288 297 306 318 324 352 374 396 408 424 432 459 477 486 528 544 561 583 594 612 636 648 729 748 792 816 848 864 891 901 918 954 972 1056 1122 1166 1188 1224 1272 1296 1377 1431 1458 1496 1584 1632 1683 1696 1749 1782 1802 1836 1908 1944 2187 2244 2332 2376 2448 2544 2592 2673 2703 2754 2809 2862 2916 2992 3168 3366 3498 3564 3604 3672 3816 3888 4131 4293 4374 4488 4664 4752 4896 5049 5088 5247 5346 5406 5508 5618 5724 5832 5984 6732 6996 7128 7208 7344 7632 7776 8019 8109 8262 8427 8586 8748 8976 9328 9504 9911 10098 10494 10692 10812 11016 11236 11448 11664 12393 12879 13464 13992 14256 14416 14688 15147 15264 15741 16038 16218 16524 16854 17172 17496 17952 18656 19822 20196 20988 21384 21624 22032 22472 22896 23328 24057 24327 24786 25281 25758 26928 27984 28512 28832 29733 30294 30899 31482 32076 32436 33048 33708 34344 34992 37179 38637 39644 40392 41976 42768 43248 44064 44944 45441 45792 47223 47753 48114 48654 49572 50562 51516 53856 55968 59466 60588 61798 62964 64152 64872 66096 67416 68688 69984 72981 74358 75843 77274 79288 80784 83952 85536 86496 89199 89888 90882 92697 94446 95506 96228 97308 99144 101124 103032 115911 118932 121176 123596 125928 128304 129744 132192 134832 136323 137376 141669 143259 145962 148716 148877 151686 154548 158576 161568 167904 178398 181764 185394 188892 191012 192456 194616 198288 202248 206064 218943 227529 231822 237864 242352 247192 251856 256608 259488 267597 269664 272646 278091 283338 286518 291924 297432 297754 303372 309096 317152 356796 363528 370788 377784 382024 384912 389232 396576 404496 408969 412128 425007 429777 437886 446631 455058 463644 475728 484704 494384 503712 525283 535194 545292 556182 566676 573036 583848 594864 595508 606744 618192 656829 682587 713592 727056 741576 755568 764048 769824 778464 802791 808992 817938 834273 850014 859554 875772 893262 910116 927288 951456 988768 1050566 1070388 1090584 1112364 1133352 1146072 1167696 1189728 1191016 1213488 1236384 1275021 1289331 1313658 1339893 1365174 1427184 1454112 1483152 1511136 1528096 1575849 1605582 1635876 1637647 1668546 1700028 1719108 1751544 1786524 1820232 1854576 1970487 2047761 2101132 2140776 2181168 2224728 2266704 2292144 2335392 2382032 2408373 2426976 2502819 2530909 2550042 2578662 2627316 2679786 2730348 2854368 2966304 3151698 3211164 3271752 3275294 3337092 3400056 3438216 3503088 3573048 3640464 3709152 3867993 3940974 4019679 4095522 4202264 4281552 4362336 4449456 4533408 4584288 4727547 4764064 4816746 4912941 5005638 5061818 5100084 5157324 5254632 5359572 5460696 6143283 6303396 6422328 6543504 6550588 6674184 6800112 6876432 7006176 7146096 7225119 7280928 7508457 7592727 7735986 7881948 8039358 8191044 8404528 8563104 8898912 9455094 9633492 9825882 10011276 10123636 10200168 10314648 10509264 10719144 10921392 11603979 12059037 12286566 12606792 12844656 13087008 13101176 13348368 13600224 13752864 14182641 14292192 14450238 14738823 15016914 15185454 15471972 15763896 16078716 16382088 16809056 18910188 19266984 19651764 20022552 20247272 20400336 20629296 21018528 21438288 21675357 21842784 22525371 22778181 23207958 24118074 24573132 25213584 25689312 26202352 26696736 27839999 28365282 28900476 29477646 30033828 30370908 30943944 31527792 32157432 32764176 34811937 36177111 37820376 38533968 39303528 40045104 40494544 40800672 41258592 42547923 42876576 43350714 44216469 45050742 45556362 46415916 48236148 49146264 50427168 52404704 55679998 56730564 57800952 58955292 60067656 60741816 61887888 63055584 64314864 65528352 67576113 68334543 69623874 72354222 75640752 77067936 78607056 80090208 80989088 83519997 85095846 86701428 88432938 90101484 91112724 92831832 96472296 98292528 104435811 108531333 111359996 113461128 115601904 117910584 120135312 121483632 123775776 127643769 128629728 132649407 135152226 136669086 139247748 144708444 151281504 157214112 167039994 170191692 173402856 176865876 180202968 182225448 185663664 192944592 196585056 205003629 208871622 217062666 222719992 226922256 231203808 235821168 240270624 242967264 250559991 255287538 265298814 270304452 273338172 278495496 289416888 325593999 334079988 340383384 346805712 353731752 360405936 364450896 371327328 382931307 385889184 397948221 410007258 417743244 434125332 445439984 453844512 471642336 501119982 510575076 530597628 540608904 546676344 556990992 578833776 615010887 651187998 668159976 680766768 693611424 707463504 720811872 728901792 751679973 765862614 795896442 820014516 835486488 868250664 890879968 1002239964 1021150152 1061195256 1081217808 1093352688 1113981984 1148793921 1157667552 1193844663 1230021774 1302375996 1336319952 1361533536 1414927008 1503359946 1531725228 1591792884 1640029032 1670972976 1736501328 1845032661 2004479928 2042300304 2122390512 2162435616 2186705376 2255039919 2297587842 2387689326 2460043548 2604751992 2672639904 3006719892 3063450456 3183585768 3280058064 3341945952 3473002656 3581533989 3690065322 4008959856 4084600608 4244781024 4510079838 4595175684 4775378652 4920087096 5209503984 5535097983 6013439784 6126900912 6367171536 6560116128 6765119757 7163067978 7380130644 8017919712 9020159676 9190351368 9550757304 9840174192 10419007968 11070195966 12026879568 12253801824 12734343072 13530239514 14326135956 14760261288 18040319352 18380702736 19101514608 19680348384 20295359271 22140391932 24053759136 27060479028 28652271912 29520522576 36080638704 36761405472 38203029216 40590718542 44280783864 54120958056 57304543824 59041045152 60886077813 72161277408 81181437084 88561567728 108241916112 114609087648 121772155626 162362874168 177123135456 216483832224 243544311252 324725748336 487088622504 649451496672 974177245008 1948354490016
• Sum of all divisors σ(n): 6772799577600
• Sum of proper divisors (its aliquot sum) s(n): 4824445087584
• 1948354490016 is an abundant number, because the sum of its proper divisors (4824445087584) is greater than itself. Its abundance is 2876090597568

Bases of 1948354490016

• Binary: 11100010110100010111110100010111010100000₂
• Hexadecimal: 0x1C5A2FA2EA0
• Base-36: OV27YI00

Squares and roots of 1948354490016

• 1948354490016 squared (1948354490016²) is 3796085218765507443680256
• 1948354490016 cubed (1948354490016³) is 7396119680465146048523097021048324096
• The square root of 1948354490016 is 1395834.6929403925
• The cube root of 1948354490016 is 12489.8146149227

Scales and comparisons

• 1,948,354,490,016 seconds is equal to 61,951 years, 33 weeks, 4 days, 4 hours, 33 minutes, 36 seconds.
• To count from 1 to 1,948,354,490,016 would take you about one hundred fifty-four thousand, eight hundred seventy-nine 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 1948354490016 cubic inches would be around 1040.8 feet tall.

Recreational maths with 1948354490016

• 1948354490016 backwards is 6100944538491
• 1948354490016 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 1948354490016's digits is 54
• More coming soon!