46148889466368

Names of 46148889466368

• Cardinal: 46148889466368 can be written as Forty-six trillion, one hundred forty-eight billion, eight hundred eighty-nine million, four hundred sixty-six thousand, three hundred sixty-eight.

Scientific notation

• Scientific notation: 4.6148889466368 × 10¹³

Factors of 46148889466368

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 3540

Divisors of 46148889466368

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 169 192 208 216 234 243 256 288 312 324 338 351 384 416 432 468 486 507 512 576 624 648 676 702 768 809 832 864 936 972 1014 1053 1152 1248 1296 1352 1404 1521 1536 1618 1664 1728 1872 1944 2028 2106 2304 2427 2496 2592 2704 2713 2808 3042 3159 3236 3328 3456 3744 3888 4056 4212 4563 4608 4854 4992 5184 5408 5426 5616 6084 6318 6472 6656 6912 7281 7488 7776 8112 8139 8424 9126 9708 9984 10368 10517 10816 10852 11232 12168 12636 12944 13689 13824 14562 14976 15552 16224 16278 16848 18252 19416 19968 20736 21034 21632 21704 21843 22464 24336 24417 25272 25888 27378 29124 29952 31104 31551 32448 32556 33696 35269 36504 38832 41067 41472 42068 43264 43408 43686 44928 48672 48834 50544 51776 54756 58248 59904 62208 63102 64896 65112 65529 67392 70538 73008 73251 77664 82134 84136 86528 86816 87372 89856 94653 97344 97668 101088 103552 105807 109512 116496 124416 126204 129792 130224 131058 134784 136721 141076 146016 146502 155328 164268 168272 173632 174744 179712 189306 194688 195336 196587 202176 207104 211614 219024 219753 232992 252408 259584 260448 262116 269568 273442 282152 283959 292032 293004 310656 317421 328536 336544 347264 349488 378612 389376 390672 393174 404352 410163 414208 423228 438048 439506 458497 465984 504816 520896 524232 539136 546884 564304 567918 584064 586008 621312 634842 657072 659259 673088 694528 698976 757224 778752 781344 786348 808704 820326 846456 851877 876096 879012 916994 931968 952263 1009632 1041792 1048464 1093768 1128608 1135836 1168128 1172016 1230489 1242624 1269684 1314144 1318518 1346176 1375491 1389056 1397952 1514448 1562688 1572696 1617408 1640652 1692912 1703754 1752192 1758024 1833988 1863936 1904526 2019264 2083584 2096928 2187536 2194817 2257216 2271672 2336256 2344032 2460978 2539368 2555631 2628288 2637036 2692352 2750982 2795904 2856789 3028896 3125376 3145392 3281304 3385824 3407508 3504384 3516048 3667976 3691467 3727872 3809052 4038528 4126473 4167168 4193856 4375072 4389634 4514432 4543344 4688064 4921956 5078736 5111262 5256576 5274072 5384704 5501964 5591808 5713578 6057792 6250752 6290784 6562608 6584451 6771648 6815016 7008768 7032096 7335952 7382934 7618104 8077056 8252946 8387712 8570367 8750144 8779268 9028864 9086688 9376128 9843912 10157472 10222524 10513152 10548144 11003928 11074401 11183616 11427156 12115584 12379419 12501504 12581568 13125216 13168902 13543296 13630032 14064192 14671904 14765868 15236208 16154112 16505892 16775424 17140734 17500288 17558536 18057728 18173376 18752256 19687824 19753353 20314944 20445048 21026304 21096288 22007856 22148802 22854312 24231168 24758838 25163136 26250432 26337804 27086592 27260064 28128384 28532621 29343808 29531736 30472416 33011784 33223203 33550848 34281468 35000576 35117072 36346752 37138257 37504512 39375648 39506706 40629888 40890096 42192576 44015712 44297604 45708624 48462336 49517676 50326272 52500864 52675608 54173184 54520128 56256768 57065242 58687616 59063472 59260059 60944832 66023568 66446406 68562936 70001152 70234144 72693504 74276514 78751296 79013412 81259776 81780192 84385152 85597863 88031424 88595208 91417248 99035352 100652544 105001728 105351216 109040256 111414771 112513536 114130484 117375232 118126944 118520118 121889664 132047136 132892812 137125872 140468288 145387008 148553028 157502592 158026824 162519552 163560384 168770304 171195726 176062848 177190416 177780177 182834496 198070704 210003456 210702432 218080512 222829542 228260968 234750464 236253888 237040236 243779328 256793589 264094272 265785624 274251744 280936576 297106056 315005184 316053648 327120768 337540608 342391452 352125696 354380832 355560354 365668992 370924073 396141408 421404864 436161024 445659084 456521936 472507776 474080472 487558656 513587178 528188544 531571248 533340531 548503488 561873152 594212112 630010368 632107296 654241536 684782904 704251392 708761664 711120708 731337984 741848146 770380767 792282816 842809728 891318168 913043872 945015552 948160944 1027174356 1056377088 1063142496 1066681062 1097006976 1112772219 1123746304 1188424224 1264214592 1308483072 1369565808 1417523328 1422241416 1462675968 1483696292 1540761534 1584565632 1685619456 1782636336 1826087744 1890031104 1896321888 2054348712 2112754176 2126284992 2133362124 2194013952 2225544438 2311142301 2376848448 2528429184 2739131616 2835046656 2844482832 2967392584 3081523068 3169131264 3338316657 3371238912 3565272672 3652175488 3792643776 4108697424 4252569984 4266724248 4388027904 4451088876 4622284602 4753696896 5056858368 5478263232 5670093312 5688965664 5934785168 6163046136 6338262528 6676633314 6933426903 7130545344 7304350976 7585287552 8217394848 8505139968 8533448496 8902177752 9244569204 9507393792 10014949971 10113716736 10956526464 11377931328 11869570336 12326092272 13353266628 13866853806 14261090688 14608701952 15170575104 16434789696 17010279936 17066896992 17804355504 18489138408 19014787584 20029899942 21913052928 22755862656 23739140672 24652184544 26706533256 27733707612 28522181376 30044849913 30341150208 32869579392 34133793984 35608711008 36978276816 40059799884 43826105856 45511725312 47478281344 49304369088 53413066512 55467415224 57044362752 60089699826 65739158784 68267587968 71217422016 73956553632 80119599768 90134549739 91023450624 94956562688 98608738176 106826133024 110934830448 120179399652 131478317568 136535175936 142434844032 147913107264 160239199536 180269099478 189913125376 197217476352 213652266048 221869660896 240358799304 273070351872 284869688064 295826214528 320478399072 360538198956 394434952704 427304532096 443739321792 480717598608 569739376128 591652429056 640956798144 721076397912 854609064192 887478643584 961435197216 1183304858112 1281913596288 1442152795824 1709218128384 1774957287168 1922870394432 2563827192576 2884305591648 3549914574336 3845740788864 5127654385152 5768611183296 7691481577728 11537222366592 15382963155456 23074444733184 46148889466368
• Sum of all divisors σ(n): 149803848033840
• Sum of proper divisors (its aliquot sum) s(n): 103654958567472
• 46148889466368 is an abundant number, because the sum of its proper divisors (103654958567472) is greater than itself. Its abundance is 57506069101104

Bases of 46148889466368

• Binary: 1010011111100011100000001010011101011000000000₂
• Hexadecimal: 0x29F8E029D600
• Base-36: GCWI99C00

Squares and roots of 46148889466368

• 46148889466368 squared (46148889466368²) is 2129719998979051347803111424
• 46148889466368 cubed (46148889466368³) is 98284212827197610458928401933049404588032
• The square root of 46148889466368 is 6793297.3927517703
• The cube root of 46148889466368 is 35869.0949089887

Scales and comparisons

• 46,148,889,466,368 seconds is equal to 1,467,391 years, 48 weeks, 5 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 46,148,889,466,368 would take you about three million, six hundred sixty-eight thousand, four hundred seventy-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 46148889466368 cubic inches would be around 2989.1 feet tall.

Recreational maths with 46148889466368

• 46148889466368 backwards is 86366498884164
• 46148889466368 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 46148889466368's digits is 81
• More coming soon!