328890304814976

Names of 328890304814976

• Cardinal: 328890304814976 can be written as Three hundred twenty-eight trillion, eight hundred ninety billion, three hundred four million, eight hundred fourteen thousand, nine hundred seventy-six.

Scientific notation

• Scientific notation: 3.28890304814976 × 10¹⁴

Factors of 328890304814976

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2938

Divisors of 328890304814976

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 127 128 136 144 153 192 204 254 272 288 289 306 381 384 408 508 544 576 578 612 762 816 867 1016 1088 1143 1152 1156 1224 1524 1632 1734 2032 2159 2176 2286 2312 2448 2601 2789 3048 3264 3468 4064 4318 4572 4624 4896 5202 5578 6096 6477 6528 6936 8128 8367 8636 9144 9248 9792 10404 11156 12192 12954 13872 16256 16734 17272 18288 18496 19431 19584 20808 22312 24384 25101 25908 27744 33468 34544 36576 36703 36992 38862 41616 44624 47413 48768 50202 51816 55488 66936 69088 73152 73406 77724 83232 89248 94826 100404 103632 110109 110976 133872 138176 142239 146304 146812 155448 166464 178496 189652 200808 207264 220218 267744 276352 284478 293624 310896 330327 332928 354203 356992 379304 401616 414528 426717 440436 535488 568956 587248 621792 660654 708406 758608 803232 806021 829056 853434 880872 1062609 1070976 1137912 1174496 1243584 1321308 1416812 1517216 1606464 1612042 1706868 1761744 2125218 2275824 2348992 2418063 2487168 2642616 2833624 3034432 3187827 3212928 3224084 3413736 3523488 4250436 4551648 4697984 4836126 5285232 5667248 6021451 6068864 6375654 6448168 6827472 7046976 7254189 7778521 8500872 9103296 9672252 10570464 11334496 12042902 12751308 12896336 13654944 14093952 14508378 15557042 17001744 18064353 18206592 19344504 21140928 22668992 23335563 24085804 25502616 25792672 27309888 29016756 31114084 34003488 36128706 38689008 42281856 45337984 46671126 48171608 51005232 51585344 54193059 54619776 58033512 62228168 68006976 70006689 72257412 77378016 93342252 96343216 102010464 102364667 103170688 108386118 116067024 124456336 132234857 136013952 140013378 144514824 154756032 186684504 192686432 204020928 204729334 216772236 232134048 248912672 264469714 280026756 289029648 307094001 309512064 373369008 385372864 396704571 408041856 409458668 433544472 464268096 497825344 528939428 560053512 578059296 614188002 746738016 770745728 793409142 818917336 867088944 921282003 928536192 987872167 995650688 1057878856 1120107024 1156118592 1190113713 1228376004 1493476032 1586818284 1637834672 1734177888 1842564006 1975744334 2115757712 2240214048 2247992569 2312237184 2380227426 2456752008 2963616501 2986952064 3173636568 3275669344 3468355776 3685128012 3951488668 4231515424 4480428096 4495985138 4760454852 4913504016 5927233002 6347273136 6551338688 6743977707 6936711552 7370256024 7902977336 8463030848 8890849503 8960856192 8991970276 9520909704 9827008032 11854466004 12694546272 13102677376 13487955414 14740512048 15805954672 16793826839 16926061696 17781699006 17983940552 19041819408 19654016064 20231933121 23708932008 25389092544 26975910828 29481024096 31611909344 33587653678 35563398012 35967881104 38083638816 39308032128 40463866242 47417864016 50381480517 50778185088 53951821656 58962048192 63223818688 67175307356 71126796024 71935762208 76167277632 80927732484 94835728032 100762961034 107903643312 117924096384 126447637376 134350614712 142253592048 143871524416 151144441551 152334555264 161855464968 189671456064 201525922068 215807286624 268701229424 284507184096 285495056263 287743048832 302288883102 323710929936 379342912128 403051844136 431614573248 537402458848 569014368192 570990112526 604577766204 647421859872 806103688272 856485168789 863229146496 1074804917696 1138028736384 1141980225052 1209155532408 1294843719744 1612207376544 1712970337578 2149609835392 2283960450104 2418311064816 2569455506367 2589687439488 3224414753088 3425940675156 4567920900208 4836622129632 5138911012734 6448829506176 6851881350312 9135841800416 9673244259264 10277822025468 13703762700624 18271683600832 19346488518528 20555644050936 27407525401248 36543367201664 41111288101872 54815050802496 82222576203744 109630101604992 164445152407488 328890304814976
• Sum of all divisors σ(n): 1013642126240640
• Sum of proper divisors (its aliquot sum) s(n): 684751821425664
• 328890304814976 is an abundant number, because the sum of its proper divisors (684751821425664) is greater than itself. Its abundance is 355861516610688

Bases of 328890304814976

• Binary: 1001010110001111110111101110010011101111110000000₂
• Hexadecimal: 0x12B1FBDC9DF80
• Base-36: 38KY4BSGW0

Squares and roots of 328890304814976

• 328890304814976 squared (328890304814976²) is 108168832601287825449593880576
• 328890304814976 cubed (328890304814976³) is 35575680325717666221683014892788557520306176
• The square root of 328890304814976 is 18135333.0494638559
• The cube root of 328890304814976 is 69026.6860870611

Scales and comparisons

• 328,890,304,814,976 seconds is equal to 10,457,694 years, 19 weeks, 1 day, 4 hours, 9 minutes, 36 seconds.
• To count from 1 to 328,890,304,814,976 would take you about twenty-six million, one hundred forty-four thousand, two hundred thirty-five 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 328890304814976 cubic inches would be around 5752.2 feet tall.

Recreational maths with 328890304814976

• 328890304814976 backwards is 679418403098823
• 328890304814976 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 328890304814976's digits is 72
• More coming soon!