468148314080664

Names of 468148314080664

• Cardinal: 468148314080664 can be written as Four hundred sixty-eight trillion, one hundred forty-eight billion, three hundred fourteen million, eighty thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 4.68148314080664 × 10¹⁴

Factors of 468148314080664

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 748

Divisors of 468148314080664

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 49 51 54 56 63 68 72 84 98 102 108 119 126 136 147 153 168 189 196 204 216 238 252 294 306 343 357 378 392 408 441 459 476 504 588 612 686 714 719 756 833 882 918 952 1029 1071 1176 1224 1323 1372 1428 1438 1512 1666 1764 1836 2058 2142 2157 2499 2646 2744 2856 2876 3087 3213 3332 3528 3672 4116 4284 4314 4998 5033 5292 5752 5831 6174 6426 6471 6664 7497 8232 8568 8628 9261 9996 10066 10584 11662 12223 12348 12852 12942 14994 15099 17256 17493 18522 19413 19992 20132 22491 23324 24446 24696 25704 25884 29988 30198 34986 35231 36669 37044 38826 40264 44982 45297 46648 48892 51768 52479 59976 60396 69972 70462 73338 74088 77652 85561 89964 90594 97784 104958 105693 110007 120792 135891 139944 140924 146676 155304 157437 171122 179928 181188 209916 211386 220014 246617 256683 271782 281848 293352 314874 317079 330021 342244 362376 419832 422772 440028 493234 513366 516961 543564 598927 629748 634158 660042 684488 739851 770049 845544 880056 951237 986468 1026732 1033922 1087128 1197854 1259496 1268316 1320084 1479702 1540098 1550883 1796781 1902474 1972936 2053464 2067844 2219553 2310147 2395708 2536632 2640168 2959404 3080196 3101766 3593562 3618727 3804948 4135688 4192489 4439106 4620294 4652649 4791416 5390343 5918808 6160392 6203532 6658659 7187124 7237454 7609896 8384978 8788337 8878212 9240588 9305298 10780686 10856181 12407064 12577467 13317318 13957947 14374248 14474908 16171029 16769956 17576674 17756424 18481176 18610596 21561372 21712362 25154934 25331089 26365011 26634636 27915894 28949816 32342058 32568543 33539912 35153348 37221192 37732401 43122744 43424724 50309868 50662178 52730022 53269272 55831788 61518359 64684116 65137086 70306696 75464802 75993267 79095033 86849448 97705629 100619736 101324356 105460044 111663576 113197203 123036718 129368232 130274172 150929604 151986534 158190066 177317623 184555077 195411258 202648712 210920088 226394406 227979801 237285099 246073436 260548344 301859208 303973068 316380132 354635246 369110154 371694959 390822516 430628513 452788812 455959602 474570198 492146872 531952869 553665231 607946136 632760264 683939403 709270492 738220308 743389918 781645032 861257026 905577624 911919204 949140396 1063905738 1107330462 1115084877 1291885539 1367878806 1418540984 1476440616 1486779836 1595858607 1660995693 1722514052 1823838408 1898280792 2127811476 2214660924 2230169754 2583771078 2601864713 2735757612 2973559672 3014399591 3191717214 3321991386 3345254631 3445028104 3875656617 4255622952 4429321848 4460339508 4787575821 5167542156 5203729426 5471515224 6028799182 6318814303 6383434428 6643982772 6690509262 7751313234 7805594139 8920679016 9043198773 9575151642 10035763893 10335084312 10407458852 11626969851 12057598364 12637628606 12766868856 13287965544 13381018524 15502626468 15611188278 18086397546 18213052991 18956442909 19150303284 20071527786 20814917704 23253939702 23416782417 24115196728 25275257212 26762037048 27129596319 31005252936 31222376556 36172795092 36426105982 37912885818 38300606568 40143055572 44231700121 46507879404 46833564834 50550514424 54259192638 54639158973 56869328727 62444753112 70250347251 72345590184 72852211964 75825771636 80286111144 81388788957 88463400242 93015758808 93667129668 108518385276 109278317946 113738657454 127491370937 132695100363 140500694502 145704423928 151651543272 162777577914 163917476919 170607986181 176926800484 187334259336 217036770552 218556635892 227477314908 254982741874 265390200726 281001389004 309621900847 325555155828 327834953838 341215972362 353853600968 382474112811 398085301089 437113271784 454954629816 491752430757 509965483748 530780401452 562002778008 619243801694 651110311656 655669907676 682431944724 764948225622 796170602178 928865702541 983504861514 1019930967496 1061560802904 1147422338433 1194255903267 1238487603388 1311339815352 1364863889448 1529896451244 1592341204356 1857731405082 1967009723028 2167353305929 2294844676866 2388511806534 2476975206776 2786597107623 3059792902488 3184682408712 3442267015299 3715462810164 3934019446056 4334706611858 4589689353732 4777023613068 5573194215246 6502059917787 6884534030598 7430925620328 8359791322869 8669413223716 9179378707464 9554047226136 11146388430492 13004119835574 13769068061196 16719582645738 17338826447432 19506179753361 22292776860984 26008239671148 27538136122392 33439165291476 39012359506722 52016479342296 58518539260083 66878330582952 78024719013444 117037078520166 156049438026888 234074157040332 468148314080664
• Sum of all divisors σ(n): 1607958604800000
• Sum of proper divisors (its aliquot sum) s(n): 1139810290719336
• 468148314080664 is an abundant number, because the sum of its proper divisors (1139810290719336) is greater than itself. Its abundance is 671661976638672

Bases of 468148314080664

• Binary: 1101010011100011101000101111101101000010110011000₂
• Hexadecimal: 0x1A9C745F68598
• Base-36: 4LY0D6Z060

Squares and roots of 468148314080664

• 468148314080664 squared (468148314080664²) is 219162843976568027207498680896
• 468148314080664 cubed (468148314080664³) is 102600715916753929090022518965352082939794944
• The square root of 468148314080664 is 21636735.2916437927
• The cube root of 468148314080664 is 77647.5614746973

Scales and comparisons

• 468,148,314,080,664 seconds is equal to 14,885,668 years, 16 weeks, 19 hours, 44 minutes, 24 seconds.
• To count from 1 to 468,148,314,080,664 would take you about thirty-seven million, two hundred fourteen thousand, one hundred seventy 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 468148314080664 cubic inches would be around 6470.6 feet tall.

Recreational maths with 468148314080664

• 468148314080664 backwards is 466080413841864
• 468148314080664 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 468148314080664's digits is 63
• More coming soon!