29997823251144448

Names of 29997823251144448

• Cardinal: 29997823251144448 can be written as Twenty-nine quadrillion, nine hundred ninety-seven trillion, eight hundred twenty-three billion, two hundred fifty-one million, one hundred forty-four thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 2.9997823251144448 × 10¹⁶

Factors of 29997823251144448

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1949

Divisors of 29997823251144448

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 373 392 448 686 746 784 896 1372 1492 1567 1568 1792 2611 2744 2984 3134 3136 5222 5488 5968 6268 6272 10444 10969 10976 11936 12536 12544 18277 20888 21938 21952 23872 25072 36554 41776 43876 43904 47744 50144 73108 76783 83552 87752 87808 95488 100288 127939 139129 146216 153566 167104 175504 200576 255878 278258 292432 307132 334208 351008 401152 511756 537481 556516 584491 584864 614264 668416 702016 973903 1023512 1074962 1113032 1168982 1169728 1228528 1404032 1947806 2047024 2149924 2226064 2337964 2339456 2455489 2457056 2808064 3895612 4091437 4094048 4299848 4452128 4675928 4678912 4910978 4914112 6817321 7791224 8182874 8188096 8599696 8904256 9351856 9821956 9828224 13634642 15582448 16365748 16376192 17188423 17199392 17808512 18703712 19643912 19656448 27269284 28640059 31164896 32731496 32752384 34376846 34398784 35617024 37407424 39287824 47721247 54538568 57280118 62329792 65462992 68753692 68797568 74814848 78575648 95442494 109077136 114560236 120318961 124659584 130925984 137507384 137595136 149629696 157151296 190884988 200480413 218015143 218154272 229120472 240637922 249319168 261851968 275014768 314302592 381769976 400960826 436030286 436308544 458240944 481275844 523703936 550029536 628605184 763539952 801921652 842232727 872060572 872617088 915897397 916481888 962551688 1047407872 1100059072 1526106001 1527079904 1603843304 1684465454 1744121144 1745234176 1831794794 1832963776 1925103376 2200118144 3052212002 3054159808 3207686608 3368930908 3488242288 3663589588 3665927552 3850206752 4400236288 6104424004 6108319616 6411281779 6415373216 6737861816 6976484576 7327179176 7331855104 7700413504 10682742007 12208848008 12216639232 12822563558 12830746432 13475723632 13952969152 14654358352 15400827008 21365484014 24417696016 25645127116 25661492864 26951447264 27905938304 29308716704 30801654016 42730968028 44878972453 48835392032 51290254232 51322985728 53902894528 55811876608 58617433408 74779194049 85461936056 89757944906 97670784064 102580508464 107805789056 117234866816 149558388098 170923872112 179515889812 195341568128 205161016928 215611578112 234469733632 299116776196 314152807171 341629729081 341847744224 359031779624 390683136256 410322033856 598233552392 628305614342 683259458162 683695488448 718063559248 820644067712 1196467104784 1256611228684 1366518916324 1367390976896 1436127118496 1641288135424 2391408103567 2392934209568 2513222457368 2733037832648 2734781953792 2872254236992 4782816207134 4785868419136 5026444914736 5466075665296 5744508473984 9565632414268 9571736838272 10052889829472 10932151330592 11489016947968 16739856724969 19131264828536 19143473676544 20105779658944 21864302661184 33479713449938 38262529657072 40211559317888 43728605322368 66959426899876 76525059314144 80423118635776 87457210644736 117178997074783 133918853799752 153050118628288 234357994149566 267837707599504 306100237256576 468715988299132 535675415199008 612200474513152 937431976598264 1071350830398016 1874863953196528 2142701660796032 3749727906393056 4285403321592064 7499455812786112 14998911625572224 29997823251144448
• Sum of all divisors σ(n): 70061538553952400
• Sum of proper divisors (its aliquot sum) s(n): 40063715302807952
• 29997823251144448 is an abundant number, because the sum of its proper divisors (40063715302807952) is greater than itself. Its abundance is 10065892051663504

Bases of 29997823251144448

• Binary: 1101010100100101101110001111110111010110101111100000000₂
• Hexadecimal: 0x6A92DC7EEB5F00
• Base-36: 87DC9R6VXTS

Squares and roots of 29997823251144448

• 29997823251144448 squared (29997823251144448²) is 899869399806902460146941761224704
• 29997823251144448 cubed (29997823251144448³) is 26994123204520897864348337887972621330318090043392
• The square root of 29997823251144448 is 173198796.9102108053
• The cube root of 29997823251144448 is 310715.7352305031

Scales and comparisons

• 29,997,823,251,144,448 seconds is equal to 953,837,990 years, 1 week, 2 days, 17 hours, 27 minutes, 28 seconds.
• To count from 1 to 29,997,823,251,144,448 would take you about two billion, eight hundred sixty-one million, five hundred thirteen thousand, nine hundred seventy 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 29997823251144448 cubic inches would be around 25893 feet tall.

Recreational maths with 29997823251144448

• 29997823251144448 backwards is 84444115232879992
• The number of decimal digits it has is: 17
• The sum of 29997823251144448's digits is 82
• More coming soon!