13461124958814208

Names of 13461124958814208

• Cardinal: 13461124958814208 can be written as Thirteen quadrillion, four hundred sixty-one trillion, one hundred twenty-four billion, nine hundred fifty-eight million, eight hundred fourteen thousand, two hundred eight.

Scientific notation

• Scientific notation: 1.3461124958814208 × 10¹⁶

Factors of 13461124958814208

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 2769

Divisors of 13461124958814208

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 169 208 256 328 338 416 512 533 656 676 832 1024 1066 1312 1352 1664 1681 2048 2132 2197 2624 2704 2713 3328 3362 4096 4264 4394 5248 5408 5426 6656 6724 6929 8192 8528 8788 10496 10816 10852 13312 13448 13858 16384 17056 17576 20992 21632 21704 21853 26624 26896 27716 32768 34112 35152 35269 41984 43264 43408 43706 53248 53792 55432 68224 68921 70304 70538 83968 86528 86816 87412 90077 106496 107584 110864 111233 136448 137842 140608 141076 167936 173056 173632 174824 180154 212992 215168 221728 222466 272896 275684 281216 282152 284089 335872 346112 347264 349648 360308 425984 430336 443456 444932 458497 545792 551368 562432 564304 568178 671744 692224 694528 699296 720616 860672 886912 889864 895973 916994 1091584 1102736 1124864 1128608 1136356 1343488 1384448 1389056 1398592 1441232 1446029 1721344 1773824 1779728 1791946 1833988 2183168 2205472 2249728 2257216 2272712 2768896 2778112 2797184 2882464 2892058 3442688 3547648 3559456 3583892 3667976 3693157 4366336 4410944 4499456 4514432 4545424 4560553 5537792 5556224 5594368 5764928 5784116 5960461 6885376 7095296 7118912 7167784 7335952 7386314 8732672 8821888 8998912 9028864 9090848 9121106 11112448 11188736 11529856 11568232 11647649 11920922 13770752 14190592 14237824 14335568 14671904 14772628 17465344 17643776 17997824 18057728 18181696 18242212 18798377 22224896 22377472 23059712 23136464 23295298 23841844 27541504 28381184 28475648 28671136 29343808 29545256 35287552 35995648 36115456 36363392 36484424 37596754 44449792 44754944 46119424 46272928 46590596 47683688 55083008 56762368 56951296 57342272 58687616 59090512 59287189 70575104 71991296 72230912 72726784 72968848 75193508 88899584 89509888 92238848 92545856 93181192 95367376 113524736 113902592 114684544 117375232 118181024 118574378 141150208 144461824 145453568 145937696 150387016 151419437 179019776 184477696 185091712 186362384 186982673 190734752 227049472 227805184 229369088 234750464 236362048 237148756 244378901 282300416 288923648 290907136 291875392 300774032 302838874 358039552 368955392 370183424 372724768 373965346 381469504 455610368 458738176 469500928 472724096 474297512 488757802 564600832 577847296 581814272 583750784 601548064 605677748 716079104 737910784 740366848 745449536 747930692 762939008 770733457 911220736 917476352 939001856 945448192 948595024 977515604 1129201664 1155694592 1163628544 1167501568 1203096128 1211355496 1475821568 1480733696 1490899072 1495861384 1525878016 1541466914 1822441472 1834952704 1878003712 1890896384 1897190048 1955031208 2258403328 2327257088 2335003136 2406192256 2422710992 2430774749 2951643136 2961467392 2981798144 2991722768 3051756032 3082933828 3644882944 3669905408 3756007424 3781792768 3794380096 3910062416 4654514176 4670006272 4812384512 4845421984 4861549498 5922934784 5963596288 5983445536 6103512064 6165867656 7339810816 7512014848 7563585536 7588760192 7820124832 9309028352 9340012544 9624769024 9690843968 9723098996 10019534941 11845869568 11927192576 11966891072 12207024128 12331735312 14679621632 15024029696 15127171072 15177520384 15640249664 18680025088 19249538048 19381687936 19446197992 20039069882 23691739136 23854385152 23933782144 24414048256 24663470624 29359243264 30254342144 30355040768 31280499328 31600071737 37360050176 38499076096 38763375872 38892395984 40078139764 47383478272 47708770304 47867564288 48828096512 49326941248 60508684288 60710081536 62560998656 63200143474 74720100352 76998152192 77526751744 77784791968 80156279528 95417540608 95735128576 97656193024 98653882496 121017368576 121420163072 125121997312 126400286948 149440200704 153996304384 155053503488 155569583936 160312559056 190835081216 191470257152 195312386048 197307764992 242840326144 250243994624 252800573896 307992608768 310107006976 311139167872 320625118112 381670162432 382940514304 394615529984 410800932581 485680652288 500487989248 505601147792 615985217536 620214013952 622278335744 641250236224 765881028608 789231059968 821601865162 971361304576 1000975978496 1011202295584 1240428027904 1244556671488 1282500472448 1531762057216 1578462119936 1643203730324 1942722609152 2001951956992 2022404591168 2480856055808 2489113342976 2565000944896 3063524114432 3156924239872 3286407460648 4003903913984 4044809182336 4961712111616 4978226685952 5130001889792 6127048228864 6313848479744 6572814921296 8007807827968 8089618364672 9956453371904 10260003779584 12627696959488 13145629842592 16179236729344 19912906743808 20520007559168 25255393918976 26291259685184 32358473458688 39825813487616 41040015118336 52582519370368 64716946917376 79651626975232 82080030236672 105165038740736 129433893834752 164160060473344 210330077481472 258867787669504 328320120946688 420660154962944 517735575339008 841320309925888 1035471150678016 1682640619851776 3365281239703552 6730562479407104 13461124958814208
• Sum of all divisors σ(n): 29904420163312800
• Sum of proper divisors (its aliquot sum) s(n): 16443295204498592
• 13461124958814208 is an abundant number, because the sum of its proper divisors (16443295204498592) is greater than itself. Its abundance is 2982170245684384

Bases of 13461124958814208

• Binary: 101111110100101101001001100011011100101000000000000000₂
• Hexadecimal: 0x2FD2D263728000
• Base-36: 3OJKJFOJ474

Squares and roots of 13461124958814208

• 13461124958814208 squared (13461124958814208²) is 181201885156810813024269462667264
• 13461124958814208 cubed (13461124958814208³) is 2439181218868531803395021742078421070634299686912
• The square root of 13461124958814208 is 116022088.2367414037
• The cube root of 13461124958814208 is 237881.3814599225

Scales and comparisons

• 13,461,124,958,814,208 seconds is equal to 428,022,135 years, 36 weeks, 1 day, 16 hours, 23 minutes, 28 seconds.
• To count from 1 to 13,461,124,958,814,208 would take you about one billion, two hundred eighty-four million, sixty-six thousand, four hundred seven 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 13461124958814208 cubic inches would be around 19823.4 feet tall.

Recreational maths with 13461124958814208

• 13461124958814208 backwards is 80241885942116431
• The number of decimal digits it has is: 17
• The sum of 13461124958814208's digits is 67
• More coming soon!