100199138768442000

Names of 100199138768442000

• Cardinal: 100199138768442000 can be written as One hundred quadrillion, one hundred ninety-nine trillion, one hundred thirty-eight billion, seven hundred sixty-eight million, four hundred forty-two thousand.

Scientific notation

• Scientific notation: 1.00199138768442 × 10¹⁷

Factors of 100199138768442000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 265077086706

Divisors of 100199138768442000

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 35 36 40 42 45 48 50 54 56 60 63 70 72 75 80 84 90 100 105 108 112 120 125 126 135 140 144 150 168 175 180 189 200 210 216 225 240 250 252 270 280 300 315 336 350 360 375 378 400 420 432 450 500 504 525 540 560 600 630 675 700 720 750 756 840 875 900 945 1000 1008 1050 1080 1125 1200 1260 1350 1400 1500 1512 1575 1680 1750 1800 1890 2000 2100 2160 2250 2520 2625 2700 2800 3000 3024 3150 3375 3500 3600 3780 4200 4500 4725 5040 5250 5400 6000 6300 6750 7000 7560 7875 8400 9000 9450 10500 10800 12600 13500 14000 15120 15750 18000 18900 21000 23625 25200 27000 31500 37800 42000 47250 54000 63000 75600 94500 126000 189000 378000 265077086689 530154173378 795231260067 1060308346756 1325385433445 1590462520134 1855539606823 2120616693512 2385693780201 2650770866890 3180925040268 3711079213646 3976156300335 4241233387024 4771387560402 5301541733780 5566618820469 6361850080536 6626927167225 7157081340603 7422158427292 7952312600670 9277698034115 9542775120804 10603083467560 11133237640938 11928468901005 12723700161072 13253854334450 14314162681206 14844316854584 15904625201340 16699856461407 18555396068230 19085550241608 19880781501675 21206166935120 22266475281876 23856937802010 26507708668900 27833094102345 28628325362412 29688633709168 31809250402680 33134635836125 33399712922814 35785406703015 37110792136460 38171100483216 39761563003350 44532950563752 46388490170575 47713875604020 50099569384221 53015417337800 55666188204690 57256650724824 59642344505025 63618500805360 66269271672250 66799425845628 71570813406030 74221584272920 79523126006700 83499282307035 89065901127504 92776980341150 95427751208040 99403907508375 100199138768442 106030834675600 111332376409380 114513301449648 119284689010050 132538543344500 133598851691256 139165470511725 143141626812060 148443168545840 159046252013400 166998564614070 178927033515075 185553960682300 190855502416080 198807815016750 200398277536884 222664752818760 231942450852875 238569378020100 250497846921105 265077086689000 267197703382512 278330941023450 286283253624120 298211722525125 318092504026800 333997129228140 357854067030150 371107921364600 397615630033500 400796555073768 417496411535175 445329505637520 463884901705750 477138756040200 500995693842210 530154173378000 556661882046900 572566507248240 596423445050250 667994258456280 695827352558625 715708134060300 742215842729200 795231260067000 801593110147536 834992823070350 894635167575375 927769803411500 954277512080400 1001991387684420 1113323764093800 1192846890100500 1252489234605525 1335988516912560 1391654705117250 1431416268120600 1590462520134000 1669985646140700 1789270335150750 1855539606823000 2003982775368840 2087482057675875 2226647528187600 2385693780201000 2504978469211050 2783309410234500 2862832536241200 3339971292281400 3578540670301500 3711079213646000 4007965550737680 4174964115351750 4771387560402000 5009956938422100 5566618820469000 6262446173027625 6679942584562800 7157081340603000 8349928230703500 10019913876844200 11133237640938000 12524892346055250 14314162681206000 16699856461407000 20039827753688400 25049784692110500 33399712922814000 50099569384221000 100199138768442000
• Sum of all divisors σ(n): 410212093194508800
• Sum of proper divisors (its aliquot sum) s(n): 310012954426066800
• 100199138768442000 is an abundant number, because the sum of its proper divisors (310012954426066800) is greater than itself. Its abundance is 209813815657624800

Bases of 100199138768442000

• Binary: 101100011111110101001010111111001000101111101001010010000₂
• Hexadecimal: 0x163FA95F917D290
• Base-36: RELMOVXMRO0

Squares and roots of 100199138768442000

• 100199138768442000 squared (100199138768442000²) is 10039867409937496596495107364000000
• 100199138768442000 cubed (100199138768442000³) is 1005986067825085585073933338694145525006888000000000
• The square root of 100199138768442000 is 316542475.4569945547
• The cube root of 100199138768442000 is 464466.7858285537

Scales and comparisons

• 100,199,138,768,442,000 seconds is equal to 3,186,022,676 years, 28 weeks, 4 days, 9 hours.
• To count from 1 to 100,199,138,768,442,000 would take you about nine billion, five hundred fifty-eight million, sixty-eight thousand and twenty-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 100199138768442000 cubic inches would be around 38705.6 feet tall.

Recreational maths with 100199138768442000

• 100199138768442000 backwards is 000244867831991001
• 100199138768442000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 100199138768442000's digits is 63
• More coming soon!