135577131264000

Names of 135577131264000

• Cardinal: 135577131264000 can be written as One hundred thirty-five trillion, five hundred seventy-seven billion, one hundred thirty-one million, two hundred sixty-four thousand.

Scientific notation

• Scientific notation: 1.35577131264 × 10¹⁴

Factors of 135577131264000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 2567

Divisors of 135577131264000

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 250 256 270 288 300 320 324 360 375 384 400 405 432 450 480 500 512 540 576 600 640 648 675 720 750 768 800 810 864 900 960 1000 1024 1080 1125 1152 1200 1280 1296 1350 1440 1500 1536 1600 1620 1728 1800 1920 2000 2025 2048 2160 2250 2304 2400 2557 2560 2592 2700 2880 3000 3072 3200 3240 3375 3456 3600 3840 4000 4050 4320 4500 4608 4800 5114 5120 5184 5400 5760 6000 6144 6400 6480 6750 6912 7200 7671 7680 8000 8100 8640 9000 9216 9600 10125 10228 10240 10368 10800 11520 12000 12785 12800 12960 13500 13824 14400 15342 15360 16000 16200 17280 18000 18432 19200 20250 20456 20736 21600 23013 23040 24000 25570 25600 25920 27000 27648 28800 30684 30720 32000 32400 34560 36000 38355 38400 40500 40912 41472 43200 46026 46080 48000 51140 51200 51840 54000 55296 57600 61368 63925 64000 64800 69039 69120 72000 76710 76800 81000 81824 82944 86400 92052 92160 96000 102280 103680 108000 115065 115200 122736 127850 128000 129600 138078 138240 144000 153420 153600 162000 163648 165888 172800 184104 191775 192000 204560 207117 207360 216000 230130 230400 245472 255700 256000 259200 276156 276480 288000 306840 319625 324000 327296 345195 345600 368208 383550 384000 409120 414234 414720 432000 460260 460800 490944 511400 518400 552312 575325 576000 613680 639250 648000 654592 690390 691200 736416 767100 768000 818240 828468 829440 864000 920520 958875 981888 1022800 1035585 1036800 1104624 1150650 1152000 1227360 1278500 1296000 1309184 1380780 1382400 1472832 1534200 1636480 1656936 1725975 1728000 1841040 1917750 1963776 2045600 2071170 2073600 2209248 2301300 2304000 2454720 2557000 2592000 2618368 2761560 2876625 2945664 3068400 3272960 3313872 3451950 3456000 3682080 3835500 3927552 4091200 4142340 4147200 4418496 4602600 4909440 5114000 5177925 5184000 5236736 5523120 5753250 5891328 6136800 6538249 6545920 6627744 6903900 6912000 7364160 7671000 7855104 8182400 8284680 8629875 8836992 9205200 9818880 10228000 10355850 10368000 11046240 11506500 11782656 12273600 13076498 13091840 13255488 13807800 14728320 15342000 15710208 16364800 16569360 17259750 17673984 18410400 19614747 19637760 20456000 20711700 20736000 22092480 23013000 23565312 24547200 25889625 26152996 26183680 26510976 27615600 29456640 30684000 32691245 32729600 33138720 34519500 35347968 36820800 39229494 39275520 40912000 41423400 44184960 46026000 47130624 49094400 51779250 52305992 53021952 55231200 58844241 58913280 61368000 65382490 65459200 66277440 69039000 70695936 73641600 78458988 78551040 81824000 82846800 88369920 92052000 98073735 98188800 103558500 104611984 106043904 110462400 117688482 117826560 122736000 130764980 130918400 132554880 138078000 141391872 147283200 156917976 163456225 163648000 165693600 176532723 176739840 184104000 196147470 196377600 207117000 209223968 212087808 220924800 235376964 235653120 245472000 261529960 265109760 276156000 294221205 294566400 313835952 326912450 327296000 331387200 353065446 353479680 368208000 392294940 392755200 414234000 418447936 424175616 441849600 470753928 490368675 490944000 523059920 529598169 530219520 552312000 588442410 589132800 627671904 653824900 654592000 662774400 706130892 706959360 736416000 784589880 817281125 828468000 836895872 882663615 883699200 941507856 980737350 981888000 1046119840 1059196338 1060439040 1104624000 1176884820 1178265600 1255343808 1307649800 1325548800 1412261784 1471106025 1472832000 1569179760 1634562250 1656936000 1673791744 1765327230 1767398400 1883015712 1961474700 1963776000 2092239680 2118392676 2120878080 2209248000 2353769640 2451843375 2510687616 2615299600 2647990845 2651097600 2824523568 2942212050 2945664000 3138359520 3269124500 3313872000 3347583488 3530654460 3534796800 3766031424 3922949400 4184479360 4236785352 4413318075 4418496000 4707539280 4903686750 5021375232 5230599200 5295981690 5302195200 5649047136 5884424100 5891328000 6276719040 6538249000 6627744000 6695166976 7061308920 7355530125 7532062848 7845898800 8368958720 8473570704 8826636150 8836992000 9415078560 9807373500 10042750464 10461198400 10591963380 10604390400 11298094272 11768848200 12553438080 13076498000 13239954225 13255488000 13390333952 14122617840 14711060250 15064125696 15691797600 16737917440 16947141408 17653272300 17673984000 18830157120 19614747000 20085500928 20922396800 21183926760 22066590375 22596188544 23537696400 25106876160 26152996000 26479908450 26510976000 28245235680 29422120500 30128251392 31383595200 33475834880 33894282816 35306544600 37660314240 39229494000 40171001856 41844793600 42367853520 44133180750 45192377088 47075392800 50213752320 52305992000 52959816900 53021952000 56490471360 58844241000 60256502784 62767190400 66199771125 66951669760 67788565632 70613089200 75320628480 78458988000 83689587200 84735707040 88266361500 90384754176 94150785600 100427504640 104611984000 105919633800 112980942720 117688482000 120513005568 125534380800 132399542250 135577131264 141226178400 150641256960 156917976000 167379174400 169471414080 176532723000 180769508352 188301571200 200855009280 209223968000 211839267600 225961885440 235376964000 251068761600 264799084500 271154262528 282452356800 301282513920 313835952000 334758348800 338942828160 353065446000 361539016704 376603142400 418447936000 423678535200 451923770880 470753928000 502137523200 529598169000 542308525056 564904713600 602565027840 627671904000 677885656320 706130892000 753206284800 836895872000 847357070400 903847541760 941507856000 1004275046400 1059196338000 1084617050112 1129809427200 1255343808000 1355771312640 1412261784000 1506412569600 1673791744000 1694714140800 1807695083520 1883015712000 2118392676000 2259618854400 2510687616000 2711542625280 2824523568000 3012825139200 3389428281600 3766031424000 4236785352000 4519237708800 5021375232000 5423085250560 5649047136000 6778856563200 7532062848000 8473570704000 9038475417600 11298094272000 13557713126400 15064125696000 16947141408000 22596188544000 27115426252800 33894282816000 45192377088000 67788565632000 135577131264000
• Sum of all divisors σ(n): 505586197656540
• Sum of proper divisors (its aliquot sum) s(n): 370009066392540
• 135577131264000 is an abundant number, because the sum of its proper divisors (370009066392540) is greater than itself. Its abundance is 234431935128540

Bases of 135577131264000

• Binary: 11110110100111010000010101111111010100000000000₂
• Hexadecimal: 0x7B4E82BFA800
• Base-36: 1C239VGG00

Squares and roots of 135577131264000

• 135577131264000 squared (135577131264000²) is 18381158521775886237696000000
• 135577131264000 cubed (135577131264000³) is 2492064741691201530838041696927744000000000
• The square root of 135577131264000 is 11643759.3269527861
• The cube root of 135577131264000 is 51372.2767402995

Scales and comparisons

• 135,577,131,264,000 seconds is equal to 4,310,933 years, 21 weeks, 1 day.
• To count from 1 to 135,577,131,264,000 would take you about ten million, seven hundred seventy-seven thousand, three 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 135577131264000 cubic inches would be around 4281 feet tall.

Recreational maths with 135577131264000

• 135577131264000 backwards is 000462131775531
• 135577131264000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135577131264000's digits is 45
• More coming soon!