132177007757033568

Names of 132177007757033568

• Cardinal: 132177007757033568 can be written as One hundred thirty-two quadrillion, one hundred seventy-seven trillion, seven billion, seven hundred fifty-seven million, thirty-three thousand, five hundred sixty-eight.

Scientific notation

• Scientific notation: 1.32177007757033568 × 10¹⁷

Factors of 132177007757033568

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 49069357

Divisors of 132177007757033568

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 313 336 378 432 504 626 672 756 864 939 1008 1252 1423 1512 1878 2016 2191 2504 2817 2846 3024 3756 4269 4382 5008 5634 5692 6048 6573 7512 8451 8538 8764 9961 10016 11268 11384 12807 13146 15024 16902 17076 17528 19719 19922 22536 22768 25614 26292 29883 30048 33804 34152 35056 38421 39438 39844 45072 45536 51228 52584 59157 59766 67608 68304 70112 76842 78876 79688 89649 90144 102456 105168 118314 119532 135216 136608 153684 157752 159376 179298 204912 210336 236628 239064 268947 270432 307368 315504 318752 358596 409824 445399 473256 478128 537894 614736 631008 717192 890798 946512 956256 1075788 1229472 1336197 1434384 1781596 1893024 2151576 2672394 2868768 3117793 3563192 4008591 4303152 5344788 6235586 7126384 8017182 8606304 9353379 10689576 12025773 12471172 14252768 16034364 18706758 21379152 24051546 24942344 28060137 32068728 37413516 42758304 48103092 49067609 49884688 56120274 64137456 74827032 84180411 96206184 98135218 99769376 112240548 128274912 147202827 149654064 168360822 192412368 196270436 224481096 294405654 299308128 336721644 343473263 384824736 392540872 441608481 448962192 588811308 673443288 686946526 785081744 883216962 897924384 1030419789 1177622616 1324825443 1346886576 1373893052 1570163488 1766433924 2060839578 2355245232 2649650886 2693773152 2747786104 3091259367 3532867848 4121679156 4710490464 5299301772 5495572208 6182518734 7065735696 8243358312 9273778101 10598603544 10991144416 12365037468 14131471392 15358161617 16486716624 18547556202 21197207088 24730074936 30716323234 32973433248 37095112404 42394414176 46074484851 49460149872 61432646468 69823207607 74190224808 92148969702 98920299744 107507131319 122865292936 138223454553 139646415214 148380449616 184297939404 209469622821 215014262638 245730585872 276446909106 279292830428 296760899232 322521393957 368595878808 414670363659 418939245642 430028525276 488762453249 491461171744 552893818212 558585660856 628408868463 645042787914 737191757616 829340727318 837878491284 860057050552 967564181871 977524906498 1105787636424 1117171321712 1256817736926 1290085575828 1466287359747 1474383515232 1658681454636 1675756982568 1720114101104 1885226605389 1935128363742 1955049812996 2211575272848 2234342643424 2513635473852 2580171151656 2902692545613 2932574719494 3317362909272 3351513965136 3440228202208 3770453210778 3870256727484 3910099625992 4398862079241 4423150545696 5027270947704 5160342303312 5805385091226 5865149438988 6634725818544 6703027930272 7540906421556 7740513454968 7820199251984 8797724158482 10054541895408 10320684606624 11610770182452 11730298877976 13196586237723 13269451637088 15081812843112 15481026909936 15640398503968 17595448316964 20109083790816 21854663980991 23221540364904 23460597755952 26393172475446 30163625686224 30962053819872 35190896633928 43709327961982 46443080729808 46921195511904 52786344950892 60327251372448 65563991942973 70381793267856 87418655923964 92886161459616 105572689901784 131127983885946 140763586535712 152982647866937 174837311847928 196691975828919 211145379803568 262255967771892 305965295733874 349674623695856 393383951657838 422290759607136 458947943600811 524511935543784 590075927486757 611930591467748 699349247391712 786767903315676 917895887201622 1049023871087568 1180151854973514 1223861182935496 1376843830802433 1573535806631352 1835791774403244 2098047742175136 2360303709947028 2447722365870992 2753687661604866 3147071613262704 3671583548806488 4130531492407299 4720607419894056 4895444731741984 5507375323209732 6294143226525408 7343167097612976 8261062984814598 9441214839788112 11014750646419464 14686334195225952 16522125969629196 18882429679576224 22029501292838928 33044251939258392 44059002585677856 66088503878516784 132177007757033568
• Sum of all divisors σ(n): 442308280477593600
• Sum of proper divisors (its aliquot sum) s(n): 310131272720560032
• 132177007757033568 is an abundant number, because the sum of its proper divisors (310131272720560032) is greater than itself. Its abundance is 177954264963526464

Bases of 132177007757033568

• Binary: 111010101100101100100100111001010110101010000000001100000₂
• Hexadecimal: 0x1D59649CAD50060
• Base-36: 105GU73HBVC0

Squares and roots of 132177007757033568

• 132177007757033568 squared (132177007757033568²) is 17470761379602912006641775078810624
• 132177007757033568 cubed (132177007757033568³) is 2309232962393056580399668850662440085887855883026432
• The square root of 132177007757033568 is 363561559.7901317839
• The cube root of 132177007757033568 is 509391.8263140799

Scales and comparisons

• 132,177,007,757,033,568 seconds is equal to 4,202,819,996 years, 17 weeks, 6 days, 8 hours, 52 minutes, 48 seconds.
• To count from 1 to 132,177,007,757,033,568 would take you about twelve billion, six hundred eight million, four hundred fifty-nine thousand, nine hundred eighty-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 132177007757033568 cubic inches would be around 42449.3 feet tall.

Recreational maths with 132177007757033568

• 132177007757033568 backwards is 865330757700771231
• 132177007757033568 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 132177007757033568's digits is 72
• More coming soon!