135742047693701120
135,742,047,693,701,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 135742047693701120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
135742047693701120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 135742047693701120:
217 × 5 × 7 × 19 × 9871 × 157769
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 19 × 9871 × 157769)See below for interesting mathematical facts about the number 135742047693701120 from the Numbermatics database.
Names of 135742047693701120
- Cardinal: 135742047693701120 can be written as One hundred thirty-five quadrillion, seven hundred forty-two trillion, forty-seven billion, six hundred ninety-three million, seven hundred one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3574204769370112 × 1017
Factors of 135742047693701120
Divisors of 135742047693701120
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 320 380 448 512 532 560 608 640 665 760 896 1024 1064 1120 1216 1280 1330 1520 1792 2048 2128 2240 2432 2560 2660 3040 3584 4096 4256 4480 4864 5120 5320 6080 7168 8192 8512 8960 9728 9871 10240 10640 12160 14336 16384 17024 17920 19456 19742 20480 21280 24320 28672 32768 34048 35840 38912 39484 40960 42560 48640 49355 57344 65536 68096 69097 71680 77824 78968 81920 85120 97280 98710 114688 131072 136192 138194 143360 155648 157769 157936 163840 170240 187549 194560 197420 229376 272384 276388 286720 311296 315538 315872 327680 340480 345485 375098 389120 394840 458752 544768 552776 573440 622592 631076 631744 655360 680960 690970 750196 778240 788845 789680 917504 937745 1089536 1104383 1105552 1146880 1245184 1262152 1263488 1312843 1361920 1381940 1500392 1556480 1577690 1579360 1875490 2179072 2208766 2211104 2293760 2490368 2524304 2526976 2625686 2723840 2763880 2997611 3000784 3112960 3155380 3158720 3750980 4358144 4417532 4422208 4587520 5048608 5053952 5251372 5447680 5521915 5527760 5995222 6001568 6225920 6310760 6317440 6564215 7501960 8716288 8835064 8844416 10097216 10107904 10502744 10895360 11043830 11055520 11990444 12003136 12451840 12621520 12634880 13128430 14988055 15003920 17432576 17670128 17688832 20194432 20215808 20983277 21005488 21790720 22087660 22111040 23980888 24006272 25243040 25269760 26256860 29976110 30007840 35340256 35377664 40388864 40431616 41966554 42010976 43581440 44175320 44222080 47961776 48012544 50486080 50539520 52513720 59952220 60015680 70680512 70755328 80777728 80863232 83933108 84021952 87162880 88350640 88444160 95923552 96025088 100972160 101079040 104916385 105027440 119904440 120031360 141361024 141510656 161555456 161726464 167866216 168043904 176701280 176888320 191847104 192050176 201944320 202158080 209832770 210054880 239808880 240062720 282722048 283021312 323110912 323452928 335732432 336087808 353402560 353776640 383694208 384100352 403888640 404316160 419665540 420109760 479617760 480125440 565444096 566042624 646221824 646905856 671464864 672175616 706805120 707553280 767388416 768200704 807777280 808632320 839331080 840219520 959235520 960250880 1130888192 1132085248 1292443648 1293811712 1342929728 1344351232 1413610240 1415106560 1534776832 1536401408 1557337799 1615554560 1617264640 1678662160 1680439040 1918471040 1920501760 2261776384 2264170496 2584887296 2685859456 2688702464 2827220480 2830213120 3069553664 3072802816 3114675598 3231109120 3234529280 3357324320 3360878080 3836942080 3841003520 4523552768 4528340992 5169774592 5371718912 5377404928 5654440960 5660426240 6139107328 6145605632 6229351196 6462218240 6469058560 6714648640 6721756160 7673884160 7682007040 7786688995 9047105536 9056681984 10339549184 10743437824 10754809856 10901364593 11308881920 11320852480 12278214656 12291211264 12458702392 12924436480 13429297280 13443512320 15347768320 15364014080 15573377990 18094211072 20679098368 21486875648 21509619712 21802729186 22617763840 22641704960 24556429312 24582422528 24917404784 25848872960 26858594560 26887024640 29589418181 30695536640 30728028160 31146755980 36188422144 42973751296 43019239424 43605458372 45235527680 45283409920 49112858624 49834809568 51697745920 53717189120 53774049280 54506822965 59178836362 61391073280 61456056320 62293511960 72376844288 85947502592 86038478848 87210916744 90471055360 98225717248 99669619136 103395491840 107434378240 107548098560 109013645930 118357672724 122782146560 122912112640 124587023920 144753688576 147947090905 171895005184 172076957696 174421833488 180942110720 196451434496 199339238272 207125927267 214868756480 215096197120 218027291860 236715345448 245564293120 249174047840 295894181810 343790010368 348843666976 361884221440 392902868992 398678476544 414251854534 429737512960 430192394240 436054583720 473430690896 491128586240 498348095680 591788363620 687580020736 697687333952 723768442880 797356953088 828503709068 859475025920 860384788480 872109167440 946861381792 982257172480 996696191360 1035629636335 1183576727240 1375160041472 1395374667904 1594713906176 1657007418136 1718950051840 1744218334880 1893722763584 1964514344960 1993392382720 2071259272670 2367153454480 2750320082944 2790749335808 3189427812352 3314014836272 3437900103680 3488436669760 3787445527168 3986784765440 4142518545340 4734306908960 5581498671616 6378855624704 6628029672544 6875800207360 6976873339520 7574891054336 7973569530880 8285037090680 9468613817920 11162997343232 12757711249408 13256059345088 13751600414720 13953746679040 15149782108672 15947139061760 16570074181360 18937227635840 22325994686464 25515422498816 26512118690176 27907493358080 30299564217344 31894278123520 33140148362720 37874455271680 44651989372928 51030844997632 53024237380352 55814986716160 60599128434688 63788556247040 66280296725440 75748910543360 89303978745856 102061689995264 106048474760704 111629973432320 121198256869376 127577112494080 132560593450880 151497821086720 178607957491712 204123379990528 212096949521408 223259946864640 242396513738752 255154224988160 265121186901760 302995642173440 357215914983424 424193899042816 446519893729280 484793027477504 510308449976320 530242373803520 605991284346880 714431829966848 848387798085632 893039787458560 969586054955008 1020616899952640 1060484747607040 1211982568693760 1428863659933696 1696775596171264 1786079574917120 1939172109910016 2120969495214080 2423965137387520 3393551192342528 3572159149834240 3878344219820032 4241938990428160 4847930274775040 6787102384685056 7144318299668480 8483877980856320 9695860549550080 13574204769370112 16967755961712640 19391721099100160 27148409538740224 33935511923425280 67871023846850560 135742047693701120
- Sum of all divisors σ(n): 391957582615603200
- Sum of proper divisors (its aliquot sum) s(n): 256215534921902080
- 135742047693701120 is an abundant number, because the sum of its proper divisors (256215534921902080) is greater than itself. Its abundance is 120473487228200960
Bases of 135742047693701120
- Binary: 1111000100100000010101100010101011101111000000000000000002
- Hexadecimal: 0x1E240AC55DE0000
- Base-36: 114KJFU10NI8
Squares and roots of 135742047693701120
- 135742047693701120 squared (1357420476937011202) is 18425903512079029551206523889254400
- 135742047693701120 cubed (1357420476937011203) is 2501169873336166600395421200666856533039333244928000
-
The
square root of 135742047693701120 is 368431876.5982405057 -
The
cube root of 135742047693701120 is 513930.9809743761
Scales and comparisons
How big is 135742047693701120?- 135,742,047,693,701,120 seconds is equal to 4,316,177,238 years, 48 weeks, 5 days, 9 hours, 25 minutes, 20 seconds.
-
To count from 1 to 135,742,047,693,701,120 would take you about twelve billion, nine hundred forty-eight million, five hundred thirty-one thousand, seven hundred sixteen 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 135742047693701120 cubic inches would be around 42827.6 feet tall.
Recreational maths with 135742047693701120
- 135742047693701120 backwards is 021107396740247531
- The number of decimal digits it has is: 18
- The sum of 135742047693701120's digits is 62
- More coming soon!
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The information we have on file for 135742047693701120 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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