138716319516201

Names of 138716319516201

• Cardinal: 138716319516201 can be written as One hundred thirty-eight trillion, seven hundred sixteen billion, three hundred nineteen million, five hundred sixteen thousand, two hundred one.

Scientific notation

• Scientific notation: 1.38716319516201 × 10¹⁴

Factors of 138716319516201

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 585

Divisors of 138716319516201

• Number of divisors d(n): 420
• Complete list of divisors:
  1 3 7 9 17 21 27 49 51 63 81 101 119 147 153 189 243 303 343 357 441 457 459 567 707 729 833 909 1029 1071 1323 1371 1377 1701 1717 2121 2401 2499 2727 3087 3199 3213 3969 4113 4131 4949 5103 5151 5831 6363 7203 7497 7769 8181 9261 9597 9639 10201 11907 12019 12339 12393 14847 15453 17493 19089 21609 22393 22491 23307 24543 27783 28791 28917 30603 34643 35721 36057 37017 40817 44541 46157 46359 52479 54383 57267 64827 67179 67473 69921 71407 73629 83349 84133 86373 86751 91809 103929 108171 111051 122451 133623 138471 139077 156751 157437 163149 171801 173417 194481 201537 202419 209763 214221 242501 250047 252399 259119 275427 311787 323099 324513 333153 367353 380681 400869 415413 417231 470253 472311 489447 499849 515403 520251 583443 588931 604611 607257 629289 642663 727503 757197 777357 784669 826281 935361 969297 973539 1097257 1102059 1142043 1202607 1213919 1246239 1251693 1410759 1416933 1468341 1499547 1560753 1750329 1766793 1813833 1887867 1927989 2182509 2261693 2271591 2332071 2354007 2478843 2664767 2806083 2907891 2920617 3291771 3306177 3426129 3498943 3607821 3641757 3738717 4122517 4232277 4250799 4405023 4498641 4661857 4682259 5300379 5441499 5492683 5663601 5783967 6547527 6785079 6814773 7062021 7436529 7994301 8418249 8497433 8723673 8761851 9875313 9918531 10278387 10496829 10925271 11216151 12367551 12696831 13215069 13495923 13985571 14046777 15831851 15901137 16324497 16478049 17351901 18653369 19642581 20355237 20444319 21186063 23982903 24492601 25254747 25492299 26171019 29625939 29755593 30835161 31490487 32632999 32775813 33648453 37102653 38090493 38448781 39645207 40487769 41956713 42140331 47495553 47703411 49434147 52055703 55960107 58927743 59482031 61065711 61332957 63558189 71948709 73477803 76476897 78513057 79251569 88877817 92505483 94471461 97898997 98327439 110822957 111307959 114271479 115346343 121463307 125870139 126420993 142486659 143110233 148302441 167880321 176783229 178446093 183197133 190674567 215846127 220433409 228430993 229430691 235539171 237754707 266633451 269141467 277516449 283414383 293696991 294982317 332468871 333923877 346039029 364389921 377610417 416374217 427459977 429330699 444907323 503640963 535338279 549591399 554760983 572023701 647538381 661300227 685292979 688292073 713264121 799900353 807424401 850243149 881090973 884946951 997406613 1001771631 1038117087 1132831251 1249122651 1282379931 1334721969 1510922889 1599016951 1606014837 1648774197 1664282949 1883990269 1942615143 1983900681 2055878937 2064876219 2139792363 2422273203 2550729447 2643272919 2992219839 3005314893 3114351261 3398493753 3747367953 3847139793 3883326881 4004165907 4532768667 4797050853 4818044511 4992848847 5651970807 5951702043 6167636811 6194628657 6419377089 7266819609 7929818757 8976659517 9343053783 11193118657 11242103859 11541419379 11649980643 13598306001 14391152559 14454133533 14978546541 16955912421 17855106129 18502910433 19258131267 21800458827 23789456271 26929978551 27183288167 28029161349 33579355971 33726311577 34949941929 43173457677 43362400599 44935639623 50867737263 55508731299 57774393801 65401376481 80789935653 81549864501 100738067913 101178934731 104849825787 129520373031 134806918869 152603211789 166526193897 190283017169 196204129443 244649593503 302214203739 303536804193 314549477361 388561119093 404420756607 457809635367 570849051507 733948780509 906642611217 943648432083 1165683357279 1373428906101 1712547154521 2201846341527 2719927833651 2830945296249 5137641463563 6605539024581 8159783500953 15412924390689 19816617073743 46238773172067 138716319516201
• Sum of all divisors σ(n): 260036884252476
• Sum of proper divisors (its aliquot sum) s(n): 121320564736275
• 138716319516201 is a deficient number, because the sum of its proper divisors (121320564736275) is less than itself. Its deficiency is 17395754779926

Bases of 138716319516201

• Binary: 11111100010100101101000111100110000011000101001₂
• Hexadecimal: 0x7E2968F30629
• Base-36: 1D65EB39K9

Squares and roots of 138716319516201

• 138716319516201 squared (138716319516201²) is 19242217300120766434701472401
• 138716319516201 cubed (138716319516201³) is 2669209563203722787820181869706146673868601
• The square root of 138716319516201 is 11777789.2457031595
• The cube root of 138716319516201 is 51765.7510165923

Scales and comparisons

• 138,716,319,516,201 seconds is equal to 4,410,749 years, 45 weeks, 6 days, 8 hours, 43 minutes, 21 seconds.
• To count from 1 to 138,716,319,516,201 would take you about eleven million, twenty-six thousand, eight hundred seventy-four 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 138716319516201 cubic inches would be around 4313.8 feet tall.

Recreational maths with 138716319516201

• 138716319516201 backwards is 102615913617831
• The number of decimal digits it has is: 15
• The sum of 138716319516201's digits is 54
• More coming soon!