72147517468128

Names of 72147517468128

• Cardinal: 72147517468128 can be written as Seventy-two trillion, one hundred forty-seven billion, five hundred seventeen million, four hundred sixty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 7.2147517468128 × 10¹³

Factors of 72147517468128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 3979

Divisors of 72147517468128

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 151 222 288 296 302 333 353 444 453 592 604 666 706 888 906 1059 1184 1208 1332 1359 1369 1412 1776 1812 2118 2416 2664 2718 2738 2824 3177 3433 3552 3624 4107 4236 4832 5328 5436 5476 5587 5648 6354 6866 7248 8214 8472 10299 10656 10872 10952 11174 11296 12321 12708 13061 13732 14496 16428 16761 16944 20598 21744 21904 22348 24642 25416 26122 27464 30897 32856 33522 33888 39183 41196 43488 43808 44696 49284 50283 50832 52244 53303 54928 61794 65712 67044 78366 82392 89392 98568 100566 101664 104488 106606 109856 117549 123588 127021 131424 134088 156732 159909 164784 178784 197136 201132 206719 208976 213212 235098 247176 254042 268176 313464 319818 329568 381063 394272 402264 413438 417952 426424 470196 479727 483257 494352 508084 518383 536352 620157 626928 639636 762126 804528 826876 852848 940392 959454 966514 988704 1016168 1036766 1143189 1211849 1240314 1253856 1279272 1449771 1524252 1555149 1609056 1653752 1705696 1860471 1880784 1918908 1933028 1972211 2032336 2073532 2286378 2423698 2480628 2558544 2899542 3048504 3110298 3307504 3635547 3720942 3761568 3837816 3866056 3944422 4064672 4147064 4349313 4572756 4665447 4699777 4847396 4961256 5117088 5799084 5916633 6097008 6220596 6615008 7271094 7441884 7675632 7732112 7888844 8294128 8698626 9145512 9330894 9399554 9694792 9922512 10906641 11598168 11833266 12194016 12441192 14099331 14542188 14883768 15351264 15464224 15777688 16588256 17397252 17749899 18291024 18661788 18799108 19180171 19389584 19845024 21813282 23196336 23666532 24882384 28198662 29084376 29767536 31555376 34794504 35499798 36582048 37323576 37598216 38360342 38779168 42297993 43626564 44838413 46392672 47333064 49764768 56397324 57540513 58168752 59535072 63110752 69589008 70999596 72971807 74647152 75196432 76720684 84595986 87253128 89676826 94666128 112794648 115081026 116337504 134515239 139178016 141999192 145943614 149294304 150392864 153441368 169191972 172621539 174506256 179353652 182989199 189332256 218915421 225589296 230162052 269030478 283998384 291887228 306882736 338383944 345243078 349012512 358707304 365978398 403545717 437830842 451178592 460324104 538060956 548967597 567996768 583774456 613765472 656746263 676767888 690486156 709666327 717414608 731956796 807091434 875661684 920648208 1076121912 1097935194 1167548912 1313492526 1353535776 1380972312 1419332654 1434829216 1463913592 1614182868 1646902791 1659021281 1751323368 1841296416 2128998981 2152243824 2195870388 2335097824 2626985052 2761944624 2838665308 2927827184 3228365736 3293805582 3318042562 3502646736 4257997962 4304487648 4391740776 4977063843 5253970104 5523889248 5677330616 5855654368 6386996943 6456731472 6587611164 6636085124 6770600363 7005293472 8515995924 8783481552 9954127686 10507940208 11354661232 12773993886 12913462944 13175222328 13272170248 13541200726 14931191529 17031991848 17566963104 19908255372 20311801089 21015880416 22709322464 25547987772 26350444656 26544340496 27082401452 29862383058 34063983696 39816510744 40623602178 51095975544 52700889312 53088680992 54164802904 59724766116 60935403267 68127967392 79633021488 81247204356 102191951088 108329605808 119449532232 121870806534 159266042976 162494408712 204383902176 216659211616 238899064464 243741613068 250512213431 324988817424 477798128928 487483226136 501024426862 649977634848 751536640293 974966452272 1002048853724 1503073280586 1949932904544 2004097707448 2254609920879 3006146561172 4008195414896 4509219841758 6012293122344 8016390829792 9018439683516 12024586244688 18036879367032 24049172489376 36073758734064 72147517468128
• Sum of all divisors σ(n): 212924256775776
• Sum of proper divisors (its aliquot sum) s(n): 140776739307648
• 72147517468128 is an abundant number, because the sum of its proper divisors (140776739307648) is greater than itself. Its abundance is 68629221839520

Bases of 72147517468128

• Binary: 10000011001111000100111001001100110110111100000₂
• Hexadecimal: 0x419E27266DE0
• Base-36: PKO413UG0

Squares and roots of 72147517468128

• 72147517468128 squared (72147517468128²) is 5205264276813834895495824384
• 72147517468128 cubed (72147517468128³) is 375546895337648814334285115132323805233152
• The square root of 72147517468128 is 8493969.4765243889
• The cube root of 72147517468128 is 41630.0689957213

Scales and comparisons

• 72,147,517,468,128 seconds is equal to 2,294,067 years, 46 weeks, 1 day, 10 hours, 28 minutes, 48 seconds.
• To count from 1 to 72,147,517,468,128 would take you about five million, seven hundred thirty-five thousand, one hundred sixty-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 72147517468128 cubic inches would be around 3469.2 feet tall.

Recreational maths with 72147517468128

• 72147517468128 backwards is 82186471574127
• The number of decimal digits it has is: 14
• The sum of 72147517468128's digits is 63
• More coming soon!