97973407515168

Names of 97973407515168

• Cardinal: 97973407515168 can be written as Ninety-seven trillion, nine hundred seventy-three billion, four hundred seven million, five hundred fifteen thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 9.7973407515168 × 10¹³

Factors of 97973407515168

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 424

Divisors of 97973407515168

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 41 48 54 58 72 81 82 87 96 108 116 123 144 162 164 174 216 232 243 246 261 288 324 328 348 349 369 432 464 486 492 522 648 656 696 698 729 738 783 841 864 928 972 984 1044 1047 1107 1189 1296 1312 1392 1396 1458 1476 1566 1682 1944 1968 2088 2094 2214 2349 2378 2523 2592 2784 2792 2916 2952 3132 3141 3321 3364 3567 3888 3936 4176 4188 4428 4698 4756 5046 5584 5832 5904 6264 6282 6642 6728 7047 7134 7569 7776 8352 8376 8856 9396 9423 9512 9963 10092 10121 10701 11168 11664 11808 12528 12564 13284 13456 14094 14268 14309 15138 16752 17712 18792 18846 19024 19926 20184 20242 21141 21402 22707 23328 25056 25128 26568 26912 28188 28269 28536 28618 29889 30276 30363 32103 33504 34481 35424 37584 37692 38048 39852 40368 40484 42282 42804 42927 45414 50256 53136 56376 56538 57072 57236 59778 60552 60726 64206 68121 68962 75168 75384 79704 80736 80968 84564 84807 85608 85854 90828 91089 96309 100512 103443 106272 112752 113076 114144 114472 119556 121104 121452 121801 128412 128781 136242 137924 150768 159408 161936 169128 169614 171216 171708 181656 182178 192618 204363 206886 225504 226152 228944 239112 242208 242904 243602 254421 256824 257562 272484 273267 275848 288927 293509 301536 310329 318816 323872 338256 339228 342432 343416 363312 364356 365403 385236 386343 408726 413772 414961 452304 457888 478224 485808 487204 508842 513648 515124 544968 546534 551696 577854 587018 613089 620658 676512 678456 686832 726624 728712 730806 770472 772686 817452 819801 827544 829922 866781 880527 904608 930987 956448 971616 974408 1017684 1027296 1030248 1089936 1093068 1096209 1103392 1155708 1159029 1174036 1226178 1241316 1244883 1356912 1373664 1457424 1461612 1540944 1545372 1634904 1639602 1655088 1659844 1733562 1761054 1861974 1948816 2035368 2060496 2179872 2186136 2192418 2311416 2318058 2348072 2452356 2459403 2482632 2489766 2641581 2713824 2792961 2914848 2923224 3081888 3090744 3269808 3279204 3288627 3310176 3319688 3467124 3477087 3522108 3532229 3723948 3734649 3897632 4070736 4120992 4372272 4384836 4622832 4636116 4696144 4904712 4918806 4965264 4979532 4993841 5283162 5585922 5846448 6181488 6539616 6558408 6577254 6639376 6934248 6954174 7044216 7064458 7378209 7447896 7469298 7924743 8141472 8378883 8744544 8769672 9245664 9272232 9392288 9809424 9837612 9865881 9930528 9959064 9987682 10431261 10566324 10596687 11171844 11203947 11692896 12033869 12362976 13116816 13154508 13278752 13868496 13908348 14088432 14128916 14756418 14895792 14938596 14981523 15849486 16757766 17539344 18544464 19618848 19675224 19731762 19918128 19975364 20862522 21132648 21193374 22343688 22407894 23774229 24067738 25136649 26233632 26309016 27736992 27816696 28176864 28257832 29512836 29597643 29791584 29877192 29963046 31698972 31790061 33515532 33611841 35078688 36101607 37088928 39350448 39463524 39836256 39950728 41725044 42265296 42386748 44687376 44815788 44944569 47548458 48135476 50273298 52618032 55633392 56515664 59025672 59195286 59754384 59926092 63397944 63580122 67031064 67223682 71322687 72203214 78700896 78927048 79901456 83450088 84530592 84773496 88792929 89374752 89631576 89889138 95096916 95370183 96270952 100546596 100835523 102434641 105236064 108304821 111266784 113031328 118051344 118390572 119508768 119852184 126795888 127160244 134062128 134447364 134833707 142645374 144406428 144821389 157854096 159802912 166900176 169546992 177585858 179263152 179778276 190193832 190740366 192541904 201093192 201671046 204869282 213968061 216609642 236102688 236781144 239704368 253591776 254320488 268124256 268894728 269667414 285290748 286110549 288812856 289642778 302506569 307303923 315708192 324914463 333800352 339093984 355171716 358526304 359556552 380387664 381480732 385083808 402186384 403342092 404501121 409738564 427936122 433219284 434464167 473562288 479408736 508640976 537789456 539334828 570581496 572221098 577625712 579285556 605013138 614607846 649828926 710343432 719113104 760775328 762961464 804372768 806684184 809002242 819477128 855872244 858331647 866438568 868928334 921911769 947124576 974743389 1017281952 1075578912 1078669656 1141162992 1144442196 1155251424 1158571112 1210026276 1213503363 1229215692 1299657852 1303392501 1420686864 1438226208 1525922928 1613368368 1618004484 1638954256 1711744488 1716663294 1732877136 1737856668 1843823538 1949486778 2157339312 2282325984 2288884392 2317142224 2420052552 2427006726 2458431384 2574994941 2599315704 2606785002 2765735307 2841373728 2924230167 3051845856 3226736736 3236008968 3277908512 3423488976 3433326588 3465754272 3475713336 3640510089 3687647076 3898973556 3910177503 4199820281 4314678624 4577768784 4634284448 4840105104 4854013452 4916862768 5149989882 5198631408 5213570004 5531470614 5848460334 6472017936 6846977952 6866653176 6951426672 7281020178 7375294152 7797947112 7820355006 8297205921 8399640562 8772690501 9155537568 9680210208 9708026904 9833725536 10299979764 10397262816 10427140008 11062941228 11696920668 11730532509 12599460843 12944035872 13733306352 13902853344 14562040356 14750588304 15595894224 15640710012 16594411842 16799281124 17545381002 19416053808 20599959528 20854280016 22125882456 23393841336 23461065018 24891617763 25198921686 27466612704 29124080712 29501176608 31191788448 31281420024 33188823684 33598562248 35090762004 35191597527 37798382529 38832107616 41199919056 41708560032 44251764912 46787682672 46922130036 49783235526 50397843372 58248161424 62562840048 66377647368 67197124496 70181524008 70383195054 74674853289 75596765058 82399838112 88503529824 93575365344 93844260072 99566471052 100795686744 105574792581 113395147587 116496322848 125125680096 132755294736 134394248992 140363048016 140766390108 149349706578 151193530116 187688520144 199132942104 201591373488 211149585162 226790295174 265510589472 280726096032 281532780216 298699413156 302387060232 340185442761 375377040288 398265884208 403182746976 422299170324 453580590348 563065560432 597398826312 604774120464 680370885522 796531768416 844598340648 907161180696 1020556328283 1126131120864 1194797652624 1209548240928 1360741771044 1689196681296 1814322361392 2041112656566 2389595305248 2721483542088 3061668984849 3378393362592 3628644722784 4082225313132 5442967084176 6123337969698 8164450626264 10885934168352 12246675939396 16328901252528 24493351878792 32657802505056 48986703757584 97973407515168
• Sum of all divisors σ(n): 307698361426638
• Sum of proper divisors (its aliquot sum) s(n): 209724953911470
• 97973407515168 is an abundant number, because the sum of its proper divisors (209724953911470) is greater than itself. Its abundance is 111751546396302

Bases of 97973407515168

• Binary: 10110010001101100110110001001110000001000100000₂
• Hexadecimal: 0x591B36270220
• Base-36: YQ8D18I00

Squares and roots of 97973407515168

• 97973407515168 squared (97973407515168²) is 9598788580133177540150068224
• 97973407515168 cubed (97973407515168³) is 940426025213328632594430282191749514821632
• The square root of 97973407515168 is 9898151.7221735897
• The cube root of 97973407515168 is 46100.1923747221

Scales and comparisons

• 97,973,407,515,168 seconds is equal to 3,115,251 years, 15 weeks, 6 days, 20 hours, 52 minutes, 48 seconds.
• To count from 1 to 97,973,407,515,168 would take you about seven million, seven hundred eighty-eight thousand, one hundred twenty-eight 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 97973407515168 cubic inches would be around 3841.7 feet tall.

Recreational maths with 97973407515168

• 97973407515168 backwards is 86151570437979
• 97973407515168 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 97973407515168's digits is 72
• More coming soon!