188138388920832

Names of 188138388920832

• Cardinal: 188138388920832 can be written as One hundred eighty-eight trillion, one hundred thirty-eight billion, three hundred eighty-eight million, nine hundred twenty thousand, eight hundred thirty-two.

Scientific notation

• Scientific notation: 1.88138388920832 × 10¹⁴

Factors of 188138388920832

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 953

Divisors of 188138388920832

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 384 392 441 448 504 512 576 588 672 768 784 882 896 941 1008 1152 1176 1344 1536 1568 1764 1792 1882 2016 2304 2352 2688 2823 3136 3528 3584 3764 4032 4608 4704 5376 5646 6272 6587 7056 7528 8064 8469 9408 10752 11292 12544 13174 14112 15056 16128 16938 18816 19761 22584 25088 26348 28224 30112 32256 33876 37632 39522 45168 46109 52696 56448 59283 60224 67752 75264 79044 90336 92218 105392 112896 118566 120448 135504 138327 158088 180672 184436 210784 225792 237132 240896 271008 276654 316176 361344 368872 414981 421568 474264 481792 542016 553308 632352 722688 737744 829962 843136 885481 948528 1084032 1106616 1264704 1445376 1475488 1659924 1686272 1770962 1897056 2168064 2213232 2529408 2656443 2950976 3319848 3372544 3541924 3794112 4336128 4426464 5058816 5312886 5901952 6198367 6639696 7083848 7588224 7969329 8852928 10117632 10625772 11803904 12396734 13279392 14167696 15176448 15938658 17705856 18595101 21251544 23607808 24793468 26558784 28335392 30352896 31877316 35411712 37190202 42503088 43388569 49586936 53117568 55785303 56670784 63754632 70823424 74380404 85006176 86777138 99173872 106235136 111570606 113341568 127509264 130165707 148760808 170012352 173554276 198347744 212470272 223141212 226683136 255018528 260331414 297521616 340024704 347108552 390497121 396695488 446282424 453366272 510037056 520662828 595043232 680049408 694217104 780994242 793390976 833237621 892564848 1020074112 1041325656 1190086464 1360098816 1388434208 1561988484 1586781952 1666475242 1785129696 2040148224 2082651312 2380172928 2499712863 2776868416 3123976968 3173563904 3332950484 3570259392 4080296448 4165302624 4760345856 4999425726 5553736832 5832663347 6247953936 6665900968 7140518784 7499138589 8330605248 9520691712 9998851452 11107473664 11665326694 12495907872 13331801936 14281037568 14998277178 16661210496 17497990041 19997702904 22214947328 23330653388 24991815744 26663603872 28562075136 29996554356 33322420992 34995980082 39995405808 40828643429 46661306776 49983631488 52493970123 53327207744 59993108712 66644841984 69991960164 79990811616 81657286858 93322613552 99967262976 104987940246 106654415488 119986217424 122485930287 139983920328 159981623232 163314573716 186645227104 199934525952 209975880492 213308830976 239972434848 244971860574 279967840656 319963246464 326629147432 367457790861 373290454208 419951760984 426617661952 479944869696 489943721148 559935681312 639926492928 653258294864 734915581722 746580908416 839903521968 959889739392 979887442296 1119871362624 1279852985856 1306516589728 1469831163444 1493161816832 1679807043936 1919779478784 1959774884592 2239742725248 2613033179456 2939662326888 2986323633664 3359614087872 3839558957568 3919549769184 4479485450496 5226066358912 5879324653776 6719228175744 7839099538368 8958970900992 10452132717824 11758649307552 13438456351488 15678199076736 20904265435648 23517298615104 26876912702976 31356398153472 47034597230208 62712796306944 94069194460416 188138388920832
• Sum of all divisors σ(n): 632301892685892
• Sum of proper divisors (its aliquot sum) s(n): 444163503765060
• 188138388920832 is an abundant number, because the sum of its proper divisors (444163503765060) is greater than itself. Its abundance is 256025114844228

Bases of 188138388920832

• Binary: 101010110001110001100001110101110001101000000000₂
• Hexadecimal: 0xAB1C61D71A00
• Base-36: 1UOTKZ69S0

Squares and roots of 188138388920832

• 188138388920832 squared (188138388920832²) is 35396053385726241045563572224
• 188138388920832 cubed (188138388920832³) is 6659356458146295830896831024213330250170368
• The square root of 188138388920832 is 13716354.7971329465
• The cube root of 188138388920832 is 57300.5961357605

Scales and comparisons

• 188,138,388,920,832 seconds is equal to 5,982,218 years, 42 weeks, 3 days, 13 hours, 7 minutes, 12 seconds.
• To count from 1 to 188,138,388,920,832 would take you about fourteen million, nine hundred fifty-five thousand, five hundred forty-seven 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 188138388920832 cubic inches would be around 4775 feet tall.

Recreational maths with 188138388920832

• 188138388920832 backwards is 238029883831881
• 188138388920832 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 188138388920832's digits is 72
• More coming soon!