4164390048006144
4,164,390,048,006,144 is an even composite number composed of five prime numbers multiplied together.
4164390048006144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 4164390048006144:
215 × 33 × 11 × 401 × 10332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 401 × 1033 × 1033)See below for interesting mathematical facts about the number 4164390048006144 from the Numbermatics database.
Names of 4164390048006144
- Cardinal: 4164390048006144 can be written as Four quadrillion, one hundred sixty-four trillion, three hundred ninety billion, forty-eight million, six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.164390048006144 × 1015
Factors of 4164390048006144
Divisors of 4164390048006144
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 401 432 512 528 576 594 704 768 792 802 864 1024 1033 1056 1152 1188 1203 1408 1536 1584 1604 1728 2048 2066 2112 2304 2376 2406 2816 3072 3099 3168 3208 3456 3609 4096 4132 4224 4411 4608 4752 4812 5632 6144 6198 6336 6416 6912 7218 8192 8264 8448 8822 9216 9297 9504 9624 10827 11264 11363 12288 12396 12672 12832 13233 13824 14436 16384 16528 16896 17644 18432 18594 19008 19248 21654 22528 22726 24576 24792 25344 25664 26466 27648 27891 28872 32768 33056 33792 34089 35288 36864 37188 38016 38496 39699 43308 45056 45452 49152 49584 50688 51328 52932 55296 55782 57744 66112 67584 68178 70576 73728 74376 76032 76992 79398 86616 90112 90904 98304 99168 101376 102267 102656 105864 110592 111564 115488 119097 132224 135168 136356 141152 147456 148752 152064 153984 158796 173232 180224 181808 198336 202752 204534 205312 211728 221184 223128 230976 238194 264448 270336 272712 282304 294912 297504 304128 306801 307968 317592 346464 360448 363616 396672 405504 409068 410624 414233 423456 442368 446256 461952 476388 528896 540672 545424 564608 595008 608256 613602 615936 635184 692928 727232 793344 811008 818136 821248 828466 846912 884736 892512 923904 952776 1057792 1067089 1081344 1090848 1129216 1190016 1216512 1227204 1231872 1242699 1270368 1385856 1454464 1586688 1622016 1636272 1642496 1656932 1693824 1785024 1847808 1905552 2115584 2134178 2181696 2258432 2380032 2433024 2454408 2463744 2485398 2540736 2771712 2908928 3173376 3201267 3244032 3272544 3284992 3313864 3387648 3570048 3695616 3728097 3811104 4231168 4268356 4363392 4516864 4556563 4760064 4866048 4908816 4927488 4970796 5081472 5543424 5817856 6346752 6402534 6545088 6569984 6627728 6775296 7140096 7391232 7456194 7622208 8462336 8536712 8726784 9033728 9113126 9520128 9603801 9732096 9817632 9854976 9941592 10162944 11086848 11184291 11635712 11737979 12693504 12805068 13090176 13139968 13255456 13550592 13669689 14280192 14782464 14912388 15244416 16924672 17073424 17453568 18067456 18226252 19040256 19207602 19635264 19709952 19883184 20325888 22173696 22368582 23271424 23475958 25387008 25610136 26180352 26510912 27101184 27339378 28560384 28811403 29564928 29824776 30488832 33849344 34146848 34907136 35213937 36134912 36452504 38080512 38415204 39270528 39419904 39766368 40651776 41009067 44347392 44737164 46542848 46951916 50774016 51220272 52360704 53021824 54202368 54678756 57120768 57622806 59129856 59649552 60977664 68293696 69814272 70427874 72269824 72905008 76161024 76830408 78541056 79532736 81303552 82018134 88694784 89474328 93085696 93903832 101548032 102440544 104721408 105641811 106043648 108404736 109357512 114241536 115245612 118259712 119299104 121955328 123027201 136587392 139628544 140855748 144539648 145810016 152322048 153660816 157082112 159065472 162607104 164036268 177389568 178948656 186171392 187807664 204881088 209442816 211283622 212087296 216809472 218715024 228483072 230491224 238598208 243910656 246054402 273174784 279257088 281711496 291620032 304644096 307321632 314164224 316925433 318130944 325214208 328072536 354779136 357897312 372342784 375615328 409762176 418885632 422567244 424174592 427902689 433618944 437430048 456966144 460982448 477196416 487821312 492108804 546349568 558514176 563422992 583240064 614643264 628328448 633850866 636261888 650428416 656145072 715794624 751230656 819524352 837771264 845134488 848349184 855805378 874860096 913932288 921964896 954392832 975642624 984217608 1092699136 1117028352 1126845984 1166480128 1229286528 1256656896 1267701732 1272523776 1283708067 1300856832 1312290144 1431589248 1502461312 1639048704 1675542528 1690268976 1696698368 1711610756 1749720192 1843929792 1908785664 1951285248 1968435216 2185398272 2253691968 2332960256 2458573056 2513313792 2535403464 2545047552 2567416134 2624580288 2863178496 3004922624 3278097408 3351085056 3380537952 3393396736 3423221512 3499440384 3687859584 3817571328 3851124201 3902570496 3936870432 4370796544 4507383936 4665920512 4706929579 4917146112 5026627584 5070806928 5090095104 5134832268 5249160576 5726356992 6009845248 6556194816 6761075904 6786793472 6846443024 6998880768 7375719168 7635142656 7702248402 7873740864 8741593088 9014767872 9331841024 9413859158 9834292224 10053255168 10141613856 10180190208 10269664536 10498321152 11452713984 11553372603 12019690496 13112389632 13522151808 13573586944 13692886048 13997761536 14120788737 14751438336 15270285312 15404496804 15747481728 17483186176 18029535744 18663682048 18827718316 19668584448 20283227712 20360380416 20539329072 20996642304 22905427968 23106745206 24039380992 26224779264 27044303616 27385772096 27995523072 28241577474 29502876672 30540570624 30808993608 31494963456 34966372352 36059071488 37327364096 37655436632 39337168896 40566455424 40720760832 41078658144 41993284608 42362366211 45810855936 46213490412 48078761984 52449558528 54088607232 54771544192 55991046144 56483154948 59005753344 61081141248 61617987216 62989926912 72118142976 74654728192 75310873264 78674337792 81132910848 82157316288 83986569216 84724732422 91621711872 92426980824 96157523968 104899117056 108177214464 109543088384 111982092288 112966309896 118011506688 122162282496 123235974432 125979853824 127087098633 144236285952 149309456384 150621746528 157348675584 162265821696 164314632576 167973138432 169449464844 183243423744 184853961648 192315047936 216354428928 219086176768 223964184576 225932619792 236023013376 246471948864 251959707648 254174197266 288472571904 301243493056 314697351168 324531643392 328629265152 335946276864 338898929688 366486847488 369707923296 384630095872 432708857856 438172353536 447928369152 451865239584 472046026752 492943897728 503919415296 508348394532 576945143808 602486986112 649063286784 657258530304 671892553728 677797859376 739415846592 865417715712 876344707072 903730479168 944092053504 985887795456 1007838830592 1016696789064 1153890287616 1204973972224 1298126573568 1314517060608 1343785107456 1355595718752 1478831693184 1730835431424 1752689414144 1807460958336 1971775590912 2015677661184 2033393578128 2409947944448 2596253147136 2629034121216 2711191437504 2957663386368 3461670862848 3505378828288 3614921916672 3943551181824 4031355322368 4066787156256 4819895888896 5192506294272 5258068242432 5422382875008 5915326772736 7010757656576 7229843833344 7887102363648 8133574312512 9639791777792 10385012588544 10516136484864 10844765750016 11830653545472 14021515313152 14459687666688 15774204727296 16267148625024 19279583555584 21032272969728 21689531500032 23661307090944 28919375333376 31548409454592 32534297250048 38559167111168 42064545939456 43379063000064 47322614181888 57838750666752 63096818909184 65068594500096 77118334222336 86758126000128 94645228363776 115677501333504 126193637818368 130137189000192 154236668444672 173516252000256 189290456727552 231355002667008 260274378000384 347032504000512 378580913455104 462710005334016 520548756000768 694065008001024 1041097512001536 1388130016002048 2082195024003072 4164390048006144
- Sum of all divisors σ(n): 13507092097732800
- Sum of proper divisors (its aliquot sum) s(n): 9342702049726656
- 4164390048006144 is an abundant number, because the sum of its proper divisors (9342702049726656) is greater than itself. Its abundance is 5178312001720512
Bases of 4164390048006144
- Binary: 11101100101101111101100111011000010010000000000000002
- Hexadecimal: 0xECB7D9D848000
- Base-36: 1505IDL7UO0
Squares and roots of 4164390048006144
- 4164390048006144 squared (41643900480061442) is 17342144471932614328909861748736
- 4164390048006144 cubed (41643900480061443) is 72219453850000944573569980937928897169912233984
-
The
square root of 4164390048006144 is 64532085.4149789893 -
The
cube root of 4164390048006144 is 160885.5847462579
Scales and comparisons
How big is 4164390048006144?- 4,164,390,048,006,144 seconds is equal to 132,414,722 years, 11 weeks, 3 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 4,164,390,048,006,144 would take you about three hundred ninety-seven million, two hundred forty-four thousand, one hundred sixty-six 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 4164390048006144 cubic inches would be around 13407.1 feet tall.
Recreational maths with 4164390048006144
- 4164390048006144 backwards is 4416008400934614
- 4164390048006144 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 4164390048006144's digits is 54
- More coming soon!
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The information we have on file for 4164390048006144 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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