90142527214080

Names of 90142527214080

• Cardinal: 90142527214080 can be written as Ninety trillion, one hundred forty-two billion, five hundred twenty-seven million, two hundred fourteen thousand and eighty.

Scientific notation

• Scientific notation: 9.014252721408 × 10¹³

Factors of 90142527214080

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 197891

Divisors of 90142527214080

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 88 90 96 99 108 110 120 128 132 135 144 160 165 176 180 192 198 216 220 240 256 264 270 288 297 320 330 352 360 384 396 432 440 480 495 512 528 540 576 594 601 640 660 704 720 768 792 864 880 960 990 1056 1080 1152 1188 1202 1280 1320 1408 1440 1485 1536 1584 1728 1760 1803 1920 1980 2112 2160 2304 2376 2404 2560 2640 2816 2880 2970 3005 3168 3456 3520 3606 3840 3960 4224 4320 4608 4752 4808 5280 5409 5632 5760 5940 6010 6336 6611 6912 7040 7212 7680 7920 8448 8640 9015 9504 9616 10560 10818 11520 11880 12020 12672 13222 13824 14080 14424 15840 16227 16896 17280 18030 19008 19232 19833 21120 21636 23040 23760 24040 25344 26444 27045 28160 28848 31680 32454 33055 34560 36060 38016 38464 39666 42240 43272 47520 48080 50688 52888 54090 57696 59499 63360 64908 66110 69120 72120 76032 76928 79332 81135 84480 86544 95040 96160 99165 105776 108180 115392 118998 126720 129816 132220 144240 152064 153856 158664 162270 173088 178497 190080 192320 197269 198330 211552 216360 230784 237996 253440 259632 264440 288480 297495 307712 317328 324540 346176 356994 380160 384640 394538 396660 423104 432720 461568 475992 519264 528880 576960 591807 594990 634656 649080 692352 713988 760320 769280 789076 793320 846208 865440 892485 923136 951984 986345 1038528 1057760 1153920 1183614 1189980 1269312 1298160 1384704 1427976 1538560 1578152 1586640 1692416 1730880 1775421 1784970 1903968 1972690 2077056 2115520 2169959 2307840 2367228 2379960 2538624 2596320 2769408 2855952 2959035 3156304 3173280 3384832 3461760 3550842 3569940 3807936 3945380 4154112 4231040 4339918 4615680 4734456 4759920 5077248 5192640 5326263 5711904 5918070 6312608 6346560 6509877 6923520 7101684 7139880 7615872 7890760 8308224 8462080 8679836 8877105 9468912 9519840 10154496 10385280 10652526 10849795 11423808 11836140 12625216 12693120 13019754 13847040 14203368 14279760 15231744 15781520 16924160 17359672 17754210 18937824 19039680 19529631 20770560 21305052 21699590 22847616 23672280 25250432 25386240 26039508 26631315 28406736 28559520 30463488 31563040 32549385 34719344 35508420 37875648 38079360 39059262 41541120 42610104 43399180 45695232 47344560 50500864 50772480 52079016 53262630 56813472 57119040 58588893 63126080 65098770 69438688 71016840 75751296 76158720 78118524 85220208 86798360 91390464 94689120 97648155 101001728 104158032 106525260 113626944 114238080 117177786 118558669 126252160 130197540 138877376 142033680 151502592 152317440 156237048 170440416 173596720 189378240 195296310 208316064 213050520 227253888 228476160 234355572 237117338 252504320 260395080 277754752 284067360 292944465 303005184 312474096 340880832 347193440 355676007 378756480 390592620 416632128 426101040 454507776 456952320 468711144 474234676 505008640 520790160 555509504 568134720 585888930 592793345 624948192 681761664 694386880 711352014 757512960 781185240 833264256 852202080 909015552 937422288 948469352 1041580320 1067028021 1111019008 1136269440 1171777860 1185586690 1249896384 1304145359 1363523328 1388773760 1422704028 1515025920 1562370480 1666528512 1704404160 1778380035 1874844576 1896938704 2083160640 2134056042 2272538880 2343555720 2371173380 2499792768 2608290718 2727046656 2777547520 2845408056 3124740960 3201084063 3333057024 3408808320 3556760070 3749689152 3793877408 3912436077 4166321280 4268112084 4545077760 4687111440 4742346760 4999585536 5216581436 5335140105 5555095040 5690816112 6249481920 6402168126 6520726795 6817616640 7113520140 7499378304 7587754816 7824872154 8332642560 8536224168 9374222880 9484693520 9999171072 10433162872 10670280210 11381632224 11737308231 12498963840 12804336252 13041453590 13635233280 14227040280 14998756608 15175509632 15649744308 16005420315 16665285120 17072448336 18748445760 18969387040 19562180385 20866325744 21340560420 22763264448 23474616462 24997927680 25608672504 26082907180 28454080560 29997513216 30351019264 31299488616 32010840630 34144896672 35211924693 37496891520 37938774080 39124360770 41732651488 42681120840 45526528896 46949232924 49995855360 51217345008 52165814360 56908161120 58686541155 60702038528 62598977232 64021681260 68289793344 70423849386 74993783040 75877548160 78248721540 83465302976 85362241680 91053057792 93898465848 102434690016 104331628720 113816322240 117373082310 125197954464 128043362520 136579586688 140847698772 149987566080 151755096320 156497443080 166930605952 170724483360 176059623465 182106115584 187796931696 204869380032 208663257440 227632644480 234746164620 250395908928 256086725040 273159173376 281695397544 303510192640 312994886160 333861211904 341448966720 352119246930 375593863392 409738760064 417326514880 455265288960 469492329240 500791817856 512173450080 546318346752 563390795088 625989772320 667722423808 682897933440 704238493860 751187726784 819477520128 834653029760 910530577920 938984658480 1001583635712 1024346900160 1126781590176 1251979544640 1365795866880 1408476987720 1502375453568 1638955040256 1669306059520 1877969316960 2003167271424 2048693800320 2253563180352 2503959089280 2731591733760 2816953975440 3004750907136 3338612119040 3755938633920 4097387600640 4507126360704 5007918178560 5633907950880 6009501814272 7511877267840 8194775201280 9014252721408 10015836357120 11267815901760 15023754535680 18028505442816 22535631803520 30047509071360 45071263607040 90142527214080
• Sum of all divisors σ(n): 349885268409600
• Sum of proper divisors (its aliquot sum) s(n): 259742741195520
• 90142527214080 is an abundant number, because the sum of its proper divisors (259742741195520) is greater than itself. Its abundance is 169600213981440

Bases of 90142527214080

• Binary: 10100011111101111110001010100000101001000000000₂
• Hexadecimal: 0x51FBF1505200
• Base-36: VYAWLAIO0

Squares and roots of 90142527214080

• 90142527214080 squared (90142527214080²) is 8125675212541153406150246400
• 90142527214080 cubed (90142527214080³) is 732468898979266209025850673357297549312000
• The square root of 90142527214080 is 9494341.8526025279
• The cube root of 90142527214080 is 44837.6913641751

Scales and comparisons

• 90,142,527,214,080 seconds is equal to 2,866,253 years, 27 weeks, 6 days, 4 hours, 48 minutes.
• To count from 1 to 90,142,527,214,080 would take you about seven million, one hundred sixty-five thousand, six hundred thirty-three 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 90142527214080 cubic inches would be around 3736.5 feet tall.

Recreational maths with 90142527214080

• 90142527214080 backwards is 08041272524109
• 90142527214080 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 90142527214080's digits is 45
• More coming soon!