72957978704197008

Names of 72957978704197008

• Cardinal: 72957978704197008 can be written as Seventy-two quadrillion, nine hundred fifty-seven trillion, nine hundred seventy-eight billion, seven hundred four million, one hundred ninety-seven thousand and eight.

Scientific notation

• Scientific notation: 7.2957978704197008 × 10¹⁶

Factors of 72957978704197008

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 4821

Divisors of 72957978704197008

• Number of divisors d(n): 300
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 137 144 162 216 274 324 411 432 548 648 822 1096 1233 1296 1644 2192 2466 3288 3699 4679 4932 6576 7398 9358 9864 11097 14037 14796 18716 18769 19728 22194 28074 29592 37432 37538 42111 44388 56148 56307 59184 74864 75076 84222 88776 112296 112614 126333 150152 168444 168921 177552 224592 225228 252666 300304 336888 337842 378999 450456 505332 506763 641023 673776 675684 757998 900912 1010664 1013526 1282046 1351368 1515996 1520289 1923069 2021328 2027052 2564092 2571353 2702736 3031992 3040578 3846138 4054104 5128184 5142706 5769207 6063984 6081156 7692276 7714059 8108208 10256368 10285412 11538414 12162312 15384552 15428118 17307621 20570824 21893041 23076828 23142177 24324624 30769104 30856236 34615242 41141648 43786082 46153656 46284354 51922863 61712472 65679123 69230484 69426531 87572164 87820151 92307312 92568708 103845726 123424944 131358246 138460968 138853062 175144328 175640302 185137416 197037369 207691452 208279593 262716492 263460453 276921936 277706124 350288656 351280604 370274832 394074738 415382904 416559186 525432984 526920906 555412248 591112107 702561208 788149476 790381359 830765808 833118372 1050865968 1053841812 1110824496 1182224214 1405122416 1576298952 1580762718 1666236744 1773336321 2107683624 2364448428 2371144077 2999346617 3152597904 3161525436 3332473488 3546672642 4215367248 4728896856 4742288154 5998693234 6323050872 7093345284 7113432231 8998039851 9457793712 9484576308 11997386468 12031360687 12646101744 14186690568 14226864462 17996079702 18969152616 23994772936 24062721374 26994119553 28373381136 28453728924 35992159404 36094082061 37938305232 47989545872 48125442748 53988239106 56907457848 71984318808 72188164122 80982358659 96250885496 107976478212 108282246183 113814915696 143968637616 144376328244 161964717318 192501770992 215952956424 216564492366 242947075977 288752656488 323929434636 324846738549 410910486529 431905912848 433128984732 485894151954 577505312976 647858869272 649693477098 821820973058 866257969464 971788303908 974540215647 1232731459587 1295717738544 1299386954196 1643641946116 1732515938928 1943576607816 1949080431294 2465462919174 2598773908392 3287283892232 3698194378761 3887153215632 3898160862588 4930925838348 5197547816784 6574567784464 7396388757522 7796321725176 9861851676696 11094583136283 14792777515044 15592643450352 19723703353392 22189166272566 29585555030088 33283749408849 44378332545132 56294736654473 59171110060176 66567498817698 88756665090264 112589473308946 133134997635396 168884209963419 177513330180528 225178946617892 266269995270792 337768419926838 450357893235784 506652629890257 532539990541584 675536839853676 900715786471568 1013305259780514 1351073679707352 1519957889670771 2026610519561028 2702147359414704 3039915779341542 4053221039122056 4559873669012313 6079831558683084 8106442078244112 9119747338024626 12159663117366168 18239494676049252 24319326234732336 36478989352098504 72957978704197008
• Sum of all divisors σ(n): 212759686281272460
• Sum of proper divisors (its aliquot sum) s(n): 139801707577075452
• 72957978704197008 is an abundant number, because the sum of its proper divisors (139801707577075452) is greater than itself. Its abundance is 66843728872878444

Bases of 72957978704197008

• Binary: 100000011001100101110010100100100001100011011010110010000₂
• Hexadecimal: 0x10332E52431B590
• Base-36: JYDG0PTAH00

Squares and roots of 72957978704197008

• 72957978704197008 squared (72957978704197008²) is 5322866656602064130553074076152064
• 72957978704197008 cubed (72957978704197008³) is 388345592177653723153617313639868759595239621824512
• The square root of 72957978704197008 is 270107346.6312921449
• The cube root of 72957978704197008 is 417853.7118950739

Scales and comparisons

• 72,957,978,704,197,008 seconds is equal to 2,319,838,048 years, 49 weeks, 2 days, 2 hours, 16 minutes, 48 seconds.
• To count from 1 to 72,957,978,704,197,008 would take you about six billion, nine hundred fifty-nine million, five hundred fourteen thousand, one hundred forty-six 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 72957978704197008 cubic inches would be around 34821.1 feet tall.

Recreational maths with 72957978704197008

• 72957978704197008 backwards is 80079140787975927
• The number of decimal digits it has is: 17
• The sum of 72957978704197008's digits is 90
• More coming soon!