135315422944000
135,315,422,944,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 135315422944000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
135315422944000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135315422944000:
28 × 53 × 132 × 473 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 47 × 47 × 47 × 241)See below for interesting mathematical facts about the number 135315422944000 from the Numbermatics database.
Names of 135315422944000
- Cardinal: 135315422944000 can be written as One hundred thirty-five trillion, three hundred fifteen billion, four hundred twenty-two million, nine hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.35315422944 × 1014
Factors of 135315422944000
Divisors of 135315422944000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 47 50 52 64 65 80 94 100 104 125 128 130 160 169 188 200 208 235 241 250 256 260 320 325 338 376 400 416 470 482 500 520 611 640 650 676 752 800 832 845 940 964 1000 1040 1175 1205 1222 1280 1300 1352 1504 1600 1625 1664 1690 1880 1928 2000 2080 2209 2350 2410 2444 2600 2704 3008 3055 3133 3200 3250 3328 3380 3760 3856 4000 4160 4225 4418 4700 4820 4888 5200 5408 5875 6016 6025 6110 6266 6400 6500 6760 7520 7712 7943 8000 8320 8450 8836 9400 9640 9776 10400 10816 11045 11327 11750 12032 12050 12220 12532 13000 13520 15040 15275 15424 15665 15886 16000 16640 16900 17672 18800 19280 19552 20800 21125 21632 22090 22654 23500 24100 24440 25064 26000 27040 28717 30080 30125 30550 30848 31330 31772 32000 33800 35344 37600 38560 39104 39715 40729 41600 42250 43264 44180 45308 47000 48200 48880 50128 52000 54080 55225 56635 57434 60160 60250 61100 61696 62660 63544 67600 70688 75200 76375 77120 78208 78325 79430 81458 83200 84500 88360 90616 94000 96400 97760 100256 103823 104000 108160 110450 113270 114868 120500 122200 125320 127088 135200 141376 143585 147251 150400 152750 154240 156416 156650 158860 162916 169000 176720 181232 188000 192800 195520 198575 200512 203645 207646 208000 216320 220900 226540 229736 241000 244400 250640 254176 270400 276125 282752 283175 287170 294502 300800 305500 308480 313300 317720 325832 338000 353440 362464 373321 376000 385600 391040 391625 397150 401024 407290 415292 416000 441800 453080 459472 482000 488800 501280 508352 519115 532369 540800 552250 565504 566350 574340 589004 611000 626600 635440 651664 676000 706880 717925 724928 736255 746642 752000 771200 782080 783250 794300 802048 814580 830584 883600 906160 918944 964000 977600 992875 1002560 1016704 1018225 1038230 1064738 1081600 1104500 1132700 1148680 1178008 1222000 1253200 1270880 1303328 1349699 1352000 1413760 1415875 1435850 1449856 1472510 1493284 1504000 1542400 1566500 1588600 1629160 1661168 1767200 1812320 1837888 1866605 1914263 1928000 1955200 1985750 2005120 2033408 2036450 2076460 2129476 2209000 2265400 2297360 2356016 2444000 2506400 2541760 2595575 2606656 2661845 2699398 2704000 2827520 2831750 2871700 2899712 2945020 2986568 3133000 3177200 3258320 3322336 3534400 3589625 3624640 3675776 3681275 3733210 3828526 3856000 3910400 3971500 4010240 4072900 4152920 4258952 4418000 4530800 4594720 4712032 4888000 5012800 5083520 5091125 5191150 5213312 5323690 5398796 5408000 5663500 5743400 5890040 5973136 6266000 6354400 6516640 6644672 6748495 6920797 7068800 7179250 7249280 7351552 7362550 7466420 7657052 7712000 7943000 8145800 8305840 8517904 8836000 9061600 9189440 9333025 9424064 9571315 9776000 10025600 10167040 10182250 10382300 10426624 10647380 10797592 11327000 11486800 11780080 11946272 12532000 12708800 12977875 13033280 13289344 13309225 13496990 13841594 14137600 14358500 14498560 14725100 14932840 15314104 15886000 16291600 16611680 17035808 17546087 17672000 18123200 18378880 18406375 18666050 18848128 19142630 19552000 20051200 20364500 20764600 21294760 21595184 22654000 22973600 23560160 23892544 25021343 25064000 25417600 25955750 26066560 26578688 26618450 26993980 27683188 28717000 29450200 29865680 30628208 31772000 32583200 33223360 33742475 34071616 34603985 35092174 35344000 36246400 36757760 36812750 37332100 37696256 38285260 40729000 41529200 42589520 43190368 45308000 45947200 46665125 47120320 47785088 47856575 50042686 50128000 50835200 51911500 52133120 53236900 53987960 55366376 57434000 58900400 59731360 61256416 63544000 65166400 66446720 66546125 67484950 68143232 69207970 70184348 70688000 72492800 73625500 74664200 76570520 81458000 83058400 85179040 86380736 87730435 89970361 90616000 91894400 93330250 94240640 95570176 95713150 100085372 100256000 103823000 106473800 107975920 110732752 114868000 117800800 119462720 122512832 125106715 127088000 130332800 132893440 133092250 134969900 136286464 138415940 140368696 147251000 149328400 153141040 162916000 166116800 168712375 170358080 172761472 173019925 175460870 179940722 181232000 183788800 186660500 188481280 191426300 200170744 207646000 212947600 215951840 221465504 229736000 235601600 238925440 239282875 245025664 250213430 254176000 260665600 266184500 269939800 276831880 280737392 294502000 298656800 306282080 325277459 325832000 332233600 337424750 340716160 345522944 346039850 350921740 359881444 362464000 373321000 382852600 400341488 415292000 425895200 431903680 438652175 442931008 449851805 459472000 471203200 477850880 478565750 490051328 500426860 532369000 539879600 553663760 561474784 589004000 597313600 612564160 625533575 650554918 651664000 664467200 674849500 681432320 692079700 701843480 719762888 746642000 765705200 800682976 830584000 851790400 863807360 865099625 877304350 885862016 899703610 918944000 942406400 957131500 1000853720 1064738000 1079759200 1107327520 1122949568 1178008000 1194627200 1225128320 1251067150 1301109836 1303328000 1349699000 1384159400 1403686960 1439525776 1493284000 1531410400 1601365952 1626387295 1661168000 1703580800 1727614720 1730199250 1754608700 1771724032 1799407220 1914263000 2001707440 2129476000 2159518400 2193260875 2214655040 2245899136 2249259025 2356016000 2389254400 2450256640 2502134300 2602219672 2699398000 2768318800 2807373920 2879051552 2986568000 3062820800 3127667875 3202731904 3252774590 3322336000 3407161600 3460398500 3509217400 3598814440 3828526000 4003414880 4228606967 4258952000 4319036800 4386521750 4429310080 4491798272 4498518050 4712032000 5004268600 5204439344 5398796000 5536637600 5614747840 5758103104 5973136000 6125641600 6255335750 6405463808 6505549180 6920797000 7018434800 7197628880 7657052000 8006829760 8131936475 8457213934 8517904000 8638073600 8773043500 8858620160 8997036100 10008537200 10408878688 10797592000 11073275200 11229495680 11246295125 11516206208 11946272000 12251283200 12510671500 13011098360 13841594000 14036869600 14395257760 15314104000 16013659520 16263872950 16914427868 17035808000 17546087000 17994072200 20017074400 20817757376 21143034835 21595184000 22146550400 22458991360 22492590250 23032412416 25021343000 26022196720 27683188000 28073739200 28790515520 30628208000 32027319040 32527745900 33828855736 35092174000 35988144400 40034148800 40659682375 41635514752 42286069670 43190368000 44293100800 44985180500 50042686000 52044393440 55366376000 56147478400 57581031040 61256416000 65055491800 67657711472 70184348000 71976288800 80068297600 81319364750 83271029504 84572139340 89970361000 100085372000 104088786880 105715174175 110732752000 112294956800 115162062080 130110983600 135315422944 140368696000 143952577600 160136595200 162638729500 169144278680 179940722000 200170744000 208177573760 211430348350 221465504000 260221967200 270630845888 280737392000 287905155200 325277459000 338288557360 359881444000 400341488000 416355147520 422860696700 520443934400 528575870875 541261691776 561474784000 575810310400 650554918000 676577114720 719762888000 800682976000 845721393400 1040887868800 1057151741750 1082523383552 1301109836000 1353154229440 1439525776000 1691442786800 2081775737600 2114303483500 2602219672000 2706308458880 2879051552000 3382885573600 4228606967000 5204439344000 5412616917760 6765771147200 8457213934000 10408878688000 13531542294400 16914427868000 27063084588800 33828855736000 67657711472000 135315422944000
- Sum of all divisors σ(n): 374494518478080
- Sum of proper divisors (its aliquot sum) s(n): 239179095534080
- 135315422944000 is an abundant number, because the sum of its proper divisors (239179095534080) is greater than itself. Its abundance is 103863672590080
Bases of 135315422944000
- Binary: 111101100010001100100111011011110011011000000002
- Hexadecimal: 0x7B1193B79B00
- Base-36: 1BYR1P2VWG
Squares and roots of 135315422944000
- 135315422944000 squared (1353154229440002) is 18310263686513601627136000000
- 135315422944000 cubed (1353154229440003) is 2477661074956752632984634427408384000000000
-
The
square root of 135315422944000 is 11632515.7616054835 -
The
cube root of 135315422944000 is 51339.2003352499
Scales and comparisons
How big is 135315422944000?- 135,315,422,944,000 seconds is equal to 4,302,611 years, 46 weeks, 2 days, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 135,315,422,944,000 would take you about ten million, seven hundred fifty-six thousand, five 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 135315422944000 cubic inches would be around 4278.3 feet tall.
Recreational maths with 135315422944000
- 135315422944000 backwards is 000449224513531
- The number of decimal digits it has is: 15
- The sum of 135315422944000's digits is 43
- More coming soon!
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The information we have on file for 135315422944000 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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