10442901184128

Names of 10442901184128

• Cardinal: 10442901184128 can be written as Ten trillion, four hundred forty-two billion, nine hundred one million, one hundred eighty-four thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.0442901184128 × 10¹³

Factors of 10442901184128

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 63618

Divisors of 10442901184128

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 29 32 36 37 38 42 48 56 57 58 63 64 72 74 76 84 87 96 111 112 114 116 126 128 133 144 148 152 168 171 174 192 203 222 224 228 232 252 259 261 266 288 296 304 333 336 342 348 384 399 406 444 448 456 464 504 518 522 532 551 576 592 608 609 666 672 684 696 703 777 798 812 888 896 912 928 1008 1036 1044 1064 1073 1102 1152 1184 1197 1216 1218 1332 1344 1368 1392 1406 1554 1596 1624 1653 1776 1824 1827 1856 2016 2072 2088 2109 2128 2146 2204 2331 2368 2394 2432 2436 2664 2688 2736 2784 2812 3108 3192 3219 3248 3306 3552 3648 3654 3712 3857 4032 4144 4176 4218 4256 4292 4408 4662 4736 4788 4872 4921 4959 5328 5472 5568 5624 6216 6327 6384 6438 6496 6612 7104 7296 7308 7511 7714 8064 8288 8352 8436 8512 8584 8816 9324 9576 9657 9744 9842 9918 10656 10944 11136 11248 11571 12432 12654 12768 12876 12992 13224 14208 14616 14763 15022 15428 16576 16704 16872 17024 17168 17632 18648 19152 19314 19488 19684 19836 20387 21312 21888 22496 22533 23142 24864 25308 25536 25752 25984 26448 29232 29526 30044 30856 33152 33408 33744 34336 34713 35264 37296 38304 38628 38976 39368 39672 40774 42624 44289 44992 45066 46284 49728 50616 51072 51504 52896 58464 59052 60088 61161 61712 63521 67488 67599 68672 69426 70528 74592 76608 77256 77952 78736 79344 81548 88578 89984 90132 92568 99456 101232 103008 105792 116928 118104 120176 122322 123424 127042 134976 135198 137344 138852 142709 149184 153216 154512 157472 158688 163096 177156 180264 183483 185136 190563 202464 206016 211584 233856 236208 240352 244644 246848 254084 269952 270396 277704 285418 298368 309024 314944 317376 326192 354312 360528 366966 370272 381126 404928 412032 428127 444647 472416 480704 489288 493696 508168 540792 555408 570836 571689 618048 629888 634752 652384 708624 721056 733932 740544 762252 809856 856254 889294 944832 961408 978576 1016336 1081584 1110816 1141672 1143378 1206899 1236096 1284381 1304768 1333941 1417248 1442112 1467864 1481088 1524504 1712508 1778588 1842109 1889664 1957152 2032672 2163168 2221632 2283344 2286756 2350277 2413798 2568762 2609536 2667882 2834496 2884224 2935728 3049008 3425016 3557176 3620697 3684218 3914304 4001823 4065344 4326336 4443264 4566688 4573512 4700554 4827596 5137524 5335764 5526327 5668992 5871456 6098016 6850032 7050831 7114352 7241394 7368436 7828608 8003646 8130688 8448293 8652672 9133376 9147024 9401108 9655192 10275048 10671528 10862091 11052654 11742912 12196032 12894763 13700064 14101662 14228704 14482788 14736872 16007292 16451939 16578981 16896586 18266752 18294048 18802216 19310384 20550096 21152493 21343056 21724182 22105308 23485824 24392064 25344879 25789526 27400128 28203324 28457408 28965576 29473744 32014584 32903878 33157962 33793172 35000071 36588096 37604432 38620768 38684289 41100192 42304986 42686112 43448364 44210616 44655263 49355817 50689758 51579052 54800256 56406648 56914816 57931152 58947488 64029168 65807756 66315924 67586344 68158033 70000142 73176192 75208864 76034637 77241536 77368578 82200384 84609972 85372224 86896728 88421232 89310526 98711634 101379516 103158104 105000213 112813296 115862304 116052867 117894976 128058336 131615512 132631848 133965789 135172688 136316066 140000284 148067451 150417728 152069274 154483072 154737156 164400768 169219944 170744448 173793456 176842464 178621052 197423268 202759032 204474099 206316208 210000426 225626592 231724608 232105734 235789952 245000497 256116672 263231024 265263696 267931578 270345376 272632132 280000568 296134902 300835456 304138548 309474312 312586841 315000639 338439888 347586912 353684928 357242104 394846536 401897367 405518064 408948198 412632416 420000852 451253184 463449216 464211468 477106231 490000994 512233344 526462048 530527392 535863156 540690752 545264264 560001136 592269804 608277096 613422297 618948624 625173682 630001278 676879776 695173824 707369856 714484208 735001491 789693072 803794734 811036128 817896396 825264832 840001704 902506368 928422936 937760523 954212462 980001988 1052924096 1061054784 1071726312 1081381504 1090528528 1120002272 1184539608 1216554192 1226844594 1237897248 1250347364 1260002556 1295002627 1353759552 1390347648 1428968416 1431318693 1470002982 1579386144 1607589468 1622072256 1635792792 1650529664 1680003408 1856845872 1875521046 1908424924 1960003976 2105848192 2122109568 2143452624 2181057056 2205004473 2240004544 2369079216 2433108384 2453689188 2475794496 2500694728 2520005112 2590005254 2707519104 2813281569 2857936832 2862637386 2940005964 3158772288 3215178936 3244144512 3271585584 3360006816 3713691744 3751042092 3816849848 3885007881 3920007952 4286905248 4293956079 4362114112 4410008946 4480009088 4738158432 4866216768 4907378376 4951588992 5001389456 5040010224 5180010508 5626563138 5715873664 5725274772 5880011928 6317544576 6430357872 6543171168 6720013632 7427383488 7502084184 7633699696 7770015762 7840015904 8573810496 8587912158 8724228224 8820017892 9065018389 9476316864 9732433536 9814756752 10002778912 10080020448 10360021016 11253126276 11450549544 11655023643 11760023856 12860715744 13086342336 13440027264 14854766976 15004168368 15267399392 15540031524 15680031808 17147620992 17175824316 17640035784 18130036778 18952633728 19629513504 20005557824 20160040896 20720042032 22506252552 22901099088 23310047286 23520047712 25721431488 26172684672 27195055167 30008336736 30534798784 31080063048 31360063616 34351648632 35280071568 36260073556 39259027008 40011115648 40320081792 41440084064 45012505104 45802198176 46620094572 47040095424 51442862976 54390110334 60016673472 61069597568 62160126096 68703297264 70560143136 72520147112 78518054016 81585165501 82880168128 90025010208 91604396352 93240189144 94080190848 108780220668 120033346944 124320252192 137406594528 141120286272 145040294224 163170331002 165760336256 180050020416 183208792704 186480378288 217560441336 248640504384 274813189056 282240572544 290080588448 326340662004 360100040832 372960756576 435120882672 497281008768 549626378112 580161176896 652681324008 745921513152 870241765344 1160322353792 1305362648016 1491843026304 1740483530688 2610725296032 3480967061376 5221450592064 10442901184128
• Sum of all divisors σ(n): 38408958432000
• Sum of proper divisors (its aliquot sum) s(n): 27966057247872
• 10442901184128 is an abundant number, because the sum of its proper divisors (27966057247872) is greater than itself. Its abundance is 17523156063744

Bases of 10442901184128

• Binary: 10010111111101101101011010100101111010000000₂
• Hexadecimal: 0x97F6D6A5E80
• Base-36: 3P9EHQJK0

Squares and roots of 10442901184128

• 10442901184128 squared (10442901184128²) is 109054185141461984559120384
• 10442901184128 cubed (10442901184128³) is 1138842079147887501741535110095702065152
• The square root of 10442901184128 is 3231547.8000685677
• The cube root of 10442901184128 is 21857.8306176851

Scales and comparisons

• 10,442,901,184,128 seconds is equal to 332,051 years, 49 weeks, 4 days, 20 hours, 28 minutes, 48 seconds.
• To count from 1 to 10,442,901,184,128 would take you about eight hundred thirty thousand, one hundred twenty-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 10442901184128 cubic inches would be around 1821.5 feet tall.

Recreational maths with 10442901184128

• 10442901184128 backwards is 82148110924401
• The number of decimal digits it has is: 14
• The sum of 10442901184128's digits is 45
• More coming soon!