135224977321920

Names of 135224977321920

• Cardinal: 135224977321920 can be written as One hundred thirty-five trillion, two hundred twenty-four billion, nine hundred seventy-seven million, three hundred twenty-one thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3522497732192 × 10¹⁴

Factors of 135224977321920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 461042

Divisors of 135224977321920

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 83 87 96 116 120 127 145 160 166 174 192 232 240 249 254 290 320 332 348 381 415 435 464 480 498 508 580 635 664 696 762 830 870 928 960 996 1016 1160 1245 1270 1328 1392 1524 1660 1740 1856 1905 1992 2032 2320 2407 2490 2540 2656 2784 3048 3320 3480 3683 3810 3984 4064 4640 4814 4980 5080 5312 5568 6096 6640 6960 7221 7366 7620 7968 8128 9280 9628 9960 10160 10541 11049 12035 12192 13280 13920 14442 14732 15240 15936 18415 19256 19920 20320 21082 22098 24070 24384 26560 27840 28884 29464 30480 31623 36105 36830 38512 39840 40640 42164 44196 48140 52705 55245 57768 58928 60960 63246 72210 73660 77024 79680 84328 88392 96280 105410 110490 115536 117856 121920 126492 144420 147320 154048 158115 168656 176784 192560 210820 220980 231072 235712 252984 288840 294640 305689 316230 337312 353568 385120 421640 441960 460793 462144 505968 577680 589280 611378 632460 674624 707136 770240 843280 883920 917067 921586 1011936 1155360 1178560 1222756 1264920 1382379 1528445 1686560 1767840 1834134 1843172 2023872 2303965 2310720 2445512 2529840 2764758 3056890 3373120 3535680 3668268 3686344 4585335 4607930 4891024 5059680 5529516 6113780 6911895 7336536 7372688 9170670 9215860 9782048 10119360 11059032 12227560 13362997 13823790 14673072 14745376 18341340 18431720 19564096 22118064 24455120 26725994 27647580 29346144 29490752 36682680 36863440 38245819 40088991 44236128 48910240 53451988 55295160 58520711 58692288 66814985 73365360 73726880 76491638 80177982 88472256 97820480 106903976 110590320 114737457 117041422 133629970 146730720 147453760 152983276 160355964 175562133 191229095 200444955 213807952 221180640 229474914 234082844 267259940 292603555 293461440 305966552 320711928 351124266 382458190 400889910 427615904 442361280 458949828 468165688 534519880 573687285 585207110 611933104 641423856 702248532 764916380 801779820 855231808 877810665 917899656 936331376 1069039760 1109128751 1147374570 1170414220 1223866208 1282847712 1404497064 1529832760 1603559640 1697100619 1755621330 1835799312 1872662752 2138079520 2218257502 2294749140 2340828440 2447732416 2565695424 2808994128 3059665520 3207119280 3327386253 3394201238 3511242660 3671598624 3745325504 4276159040 4436515004 4589498280 4681656880 4857219013 5091301857 5545643755 5617988256 6119331040 6414238560 6654772506 6788402476 7022485320 7343197248 8485503095 8873030008 9178996560 9363313760 9714438026 10182603714 11091287510 11235976512 12238662080 12828477120 13309545012 13576804952 14044970640 14571657039 16636931265 16971006190 17746060016 18357993120 18726627520 19428876052 20365207428 22182575020 24286095065 25456509285 26619090024 27153609904 28089941280 29143314078 33273862530 33942012380 35492120032 36715986240 38857752104 40730414856 44365150040 48572190130 50913018570 53238180048 54307219808 56179882560 58286628156 66547725060 67884024760 70984240064 72858285195 77715504208 81460829712 88730300080 97144380260 101826037140 106476360096 108614439616 116573256312 133095450120 135768049520 140859351377 145716570390 155431008416 162921659424 177460600160 194288760520 203652074280 212952720192 233146512624 266190900240 271536099040 281718702754 291433140780 310862016832 325843318848 354921200320 388577521040 407304148560 422578054131 466293025248 532381800480 543072198080 563437405508 582866281560 704296756885 777155042080 814608297120 845156108262 932586050496 1064763600960 1126874811016 1165732563120 1408593513770 1554310084160 1629216594240 1690312216524 2112890270655 2253749622032 2331465126240 2817187027540 3380624433048 4225780541310 4507499244064 4662930252480 5634374055080 6761248866096 8451561082620 9014998488128 11268748110160 13522497732192 16903122165240 22537496220320 27044995464384 33806244330480 45074992440640 67612488660960 135224977321920
• Sum of all divisors σ(n): 453035556126720
• Sum of proper divisors (its aliquot sum) s(n): 317810578804800
• 135224977321920 is an abundant number, because the sum of its proper divisors (317810578804800) is greater than itself. Its abundance is 182585601482880

Bases of 135224977321920

• Binary: 11110101111110010000100101111001110111111000000₂
• Hexadecimal: 0x7AFC84BCEFC0
• Base-36: 1BXLHW3B9C

Squares and roots of 135224977321920

• 135224977321920 squared (135224977321920²) is 18285794491713778295312486400
• 135224977321920 cubed (135224977321920³) is 2472696145455285323339229690079808421888000
• The square root of 135224977321920 is 11628627.4908916053
• The cube root of 135224977321920 is 51327.7593116161

Scales and comparisons

• 135,224,977,321,920 seconds is equal to 4,299,736 years, 4 hours, 32 minutes.
• To count from 1 to 135,224,977,321,920 would take you about ten million, seven hundred forty-nine thousand, three hundred forty 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 135224977321920 cubic inches would be around 4277.3 feet tall.

Recreational maths with 135224977321920

• 135224977321920 backwards is 029123779422531
• The number of decimal digits it has is: 15
• The sum of 135224977321920's digits is 57
• More coming soon!