29968004284416

Names of 29968004284416

• Cardinal: 29968004284416 can be written as Twenty-nine trillion, nine hundred sixty-eight billion, four million, two hundred eighty-four thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 2.9968004284416 × 10¹³

Factors of 29968004284416

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 34
• Sum of prime factors: 16

Divisors of 29968004284416

• Number of divisors d(n): 759
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 121 128 132 144 162 176 192 198 216 242 243 256 264 288 297 324 352 363 384 396 432 484 486 512 528 576 594 648 704 726 729 768 792 864 891 968 972 1024 1056 1089 1152 1188 1296 1408 1452 1458 1536 1584 1728 1782 1936 1944 2048 2112 2178 2187 2304 2376 2592 2673 2816 2904 2916 3072 3168 3267 3456 3564 3872 3888 4096 4224 4356 4374 4608 4752 5184 5346 5632 5808 5832 6144 6336 6534 6561 6912 7128 7744 7776 8019 8192 8448 8712 8748 9216 9504 9801 10368 10692 11264 11616 11664 12288 12672 13068 13122 13824 14256 15488 15552 16038 16384 16896 17424 17496 18432 19008 19602 19683 20736 21384 22528 23232 23328 24057 24576 25344 26136 26244 27648 28512 29403 30976 31104 32076 32768 33792 34848 34992 36864 38016 39204 39366 41472 42768 45056 46464 46656 48114 49152 50688 52272 52488 55296 57024 58806 59049 61952 62208 64152 65536 67584 69696 69984 72171 73728 76032 78408 78732 82944 85536 88209 90112 92928 93312 96228 98304 101376 104544 104976 110592 114048 117612 118098 123904 124416 128304 131072 135168 139392 139968 144342 147456 152064 156816 157464 165888 171072 176418 180224 185856 186624 192456 196608 202752 209088 209952 216513 221184 228096 235224 236196 247808 248832 256608 262144 264627 270336 278784 279936 288684 294912 304128 313632 314928 331776 342144 352836 360448 371712 373248 384912 393216 405504 418176 419904 433026 442368 456192 470448 472392 495616 497664 513216 524288 529254 540672 557568 559872 577368 589824 608256 627264 629856 649539 663552 684288 705672 720896 743424 746496 769824 786432 793881 811008 836352 839808 866052 884736 912384 940896 944784 991232 995328 1026432 1048576 1058508 1081344 1115136 1119744 1154736 1179648 1216512 1254528 1259712 1299078 1327104 1368576 1411344 1441792 1486848 1492992 1539648 1572864 1587762 1622016 1672704 1679616 1732104 1769472 1824768 1881792 1889568 1982464 1990656 2052864 2097152 2117016 2162688 2230272 2239488 2309472 2359296 2381643 2433024 2509056 2519424 2598156 2654208 2737152 2822688 2883584 2973696 2985984 3079296 3145728 3175524 3244032 3345408 3359232 3464208 3538944 3649536 3763584 3779136 3964928 3981312 4105728 4194304 4234032 4325376 4460544 4478976 4618944 4718592 4763286 4866048 5018112 5038848 5196312 5308416 5474304 5645376 5767168 5947392 5971968 6158592 6291456 6351048 6488064 6690816 6718464 6928416 7077888 7144929 7299072 7527168 7558272 7929856 7962624 8211456 8468064 8650752 8921088 8957952 9237888 9437184 9526572 9732096 10036224 10077696 10392624 10616832 10948608 11290752 11534336 11894784 11943936 12317184 12582912 12702096 12976128 13381632 13436928 13856832 14155776 14289858 14598144 15054336 15116544 15859712 15925248 16422912 16936128 17301504 17842176 17915904 18475776 18874368 19053144 19464192 20072448 20155392 20785248 21233664 21897216 22581504 23068672 23789568 23887872 24634368 25404192 25952256 26763264 26873856 27713664 28311552 28579716 29196288 30108672 30233088 31719424 31850496 32845824 33872256 34603008 35684352 35831808 36951552 37748736 38106288 38928384 40144896 40310784 41570496 42467328 43794432 45163008 46137344 47579136 47775744 49268736 50808384 51904512 53526528 53747712 55427328 56623104 57159432 58392576 60217344 60466176 63438848 63700992 65691648 67744512 69206016 71368704 71663616 73903104 76212576 77856768 80289792 80621568 83140992 84934656 87588864 90326016 95158272 95551488 98537472 101616768 103809024 107053056 107495424 110854656 113246208 114318864 116785152 120434688 120932352 126877696 127401984 131383296 135489024 138412032 142737408 143327232 147806208 152425152 155713536 160579584 161243136 166281984 169869312 175177728 180652032 190316544 191102976 197074944 203233536 207618048 214106112 214990848 221709312 228637728 233570304 240869376 241864704 253755392 254803968 262766592 270978048 285474816 286654464 295612416 304850304 311427072 321159168 322486272 332563968 339738624 350355456 361304064 380633088 382205952 394149888 406467072 415236096 428212224 429981696 443418624 457275456 467140608 481738752 483729408 507510784 509607936 525533184 541956096 570949632 573308928 591224832 609700608 622854144 642318336 644972544 665127936 700710912 722608128 761266176 764411904 788299776 812934144 856424448 859963392 886837248 914550912 934281216 963477504 967458816 1019215872 1051066368 1083912192 1141899264 1146617856 1182449664 1219401216 1245708288 1284636672 1289945088 1330255872 1401421824 1445216256 1522532352 1528823808 1576599552 1625868288 1712848896 1719926784 1773674496 1829101824 1868562432 1926955008 1934917632 2102132736 2167824384 2283798528 2293235712 2364899328 2438802432 2569273344 2579890176 2660511744 2802843648 2890432512 3057647616 3153199104 3251736576 3425697792 3439853568 3547348992 3658203648 3737124864 3853910016 3869835264 4204265472 4335648768 4567597056 4586471424 4729798656 4877604864 5138546688 5159780352 5321023488 5605687296 5780865024 6306398208 6503473152 6851395584 6879707136 7094697984 7316407296 7707820032 7739670528 8408530944 8671297536 9172942848 9459597312 9755209728 10277093376 10319560704 10642046976 11211374592 11561730048 12612796416 13006946304 13702791168 13759414272 14189395968 14632814592 15415640064 15479341056 16817061888 17342595072 18919194624 19510419456 20554186752 20639121408 21284093952 23123460096 25225592832 26013892608 27518828544 28378791936 29265629184 30831280128 30958682112 33634123776 34685190144 37838389248 39020838912 41108373504 41278242816 42568187904 46246920192 50451185664 52027785216 56757583872 58531258368 61662560256 61917364224 69370380288 75676778496 78041677824 82556485632 85136375808 92493840384 100902371328 104055570432 113515167744 117062516736 123325120512 123834728448 138740760576 151353556992 156083355648 170272751616 184987680768 208111140864 227030335488 234125033472 247669456896 277481521152 302707113984 312166711296 340545503232 369975361536 416222281728 454060670976 468250066944 554963042304 624333422592 681091006464 832444563456 908121341952 936500133888 1109926084608 1248666845184 1362182012928 1664889126912 1873000267776 2497333690368 2724364025856 3329778253824 3746000535552 4994667380736 7492001071104 9989334761472 14984002142208 29968004284416
• Sum of all divisors σ(n): 98819543678863
• Sum of proper divisors (its aliquot sum) s(n): 68851539394447
• 29968004284416 is an abundant number, because the sum of its proper divisors (68851539394447) is greater than itself. Its abundance is 38883535110031

Bases of 29968004284416

• Binary: 110110100000101111000010000000000000000000000₂
• Hexadecimal: 0x1B4178400000
• Base-36: AMF400000

Squares and roots of 29968004284416

• 29968004284416 squared (29968004284416²) is 898081280790775732220461056
• 29968004284416 cubed (29968004284416³) is 26913703670491775863674976463266875703296
• 29968004284416 is a perfect square number. Its square root is 5474304
• The cube root of 29968004284416 is 31061.2746714935

Scales and comparisons

• 29,968,004,284,416 seconds is equal to 952,889 years, 43 weeks, 4 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 29,968,004,284,416 would take you about two million, three hundred eighty-two thousand, two hundred twenty-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 29968004284416 cubic inches would be around 2588.4 feet tall.

Recreational maths with 29968004284416

• 29968004284416 backwards is 61448240086992
• The number of decimal digits it has is: 14
• The sum of 29968004284416's digits is 63
• More coming soon!