138056164041600
138,056,164,041,600 is an even composite number composed of eight prime numbers multiplied together.
138056164041600 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138056164041600:
27 × 33 × 52 × 7 × 37 × 89 × 103 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 37 × 89 × 103 × 673)See below for interesting mathematical facts about the number 138056164041600 from the Numbermatics database.
Names of 138056164041600
- Cardinal: 138056164041600 can be written as One hundred thirty-eight trillion, fifty-six billion, one hundred sixty-four million, forty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.380561640416 × 1014
Factors of 138056164041600
Divisors of 138056164041600
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 37 40 42 45 48 50 54 56 60 63 64 70 72 74 75 80 84 89 90 96 100 103 105 108 111 112 120 126 128 135 140 144 148 150 160 168 175 178 180 185 189 192 200 206 210 216 222 224 225 240 252 259 267 270 280 288 296 300 309 315 320 333 336 350 356 360 370 378 384 400 412 420 432 444 445 448 450 480 504 515 518 525 534 540 555 560 576 592 600 618 623 630 640 666 672 673 675 700 712 720 721 740 756 777 800 801 824 840 864 888 890 896 900 925 927 945 960 999 1008 1030 1036 1050 1068 1080 1110 1120 1152 1184 1200 1236 1246 1260 1295 1332 1335 1344 1346 1350 1400 1424 1440 1442 1480 1512 1545 1554 1575 1600 1602 1648 1665 1680 1728 1776 1780 1800 1850 1854 1869 1890 1920 1998 2016 2019 2060 2072 2100 2136 2160 2163 2220 2225 2240 2331 2368 2400 2403 2472 2492 2520 2575 2590 2664 2670 2688 2692 2700 2775 2781 2800 2848 2880 2884 2960 3024 3090 3108 3115 3150 3200 3204 3293 3296 3330 3360 3365 3456 3552 3560 3600 3605 3700 3708 3738 3780 3811 3885 3996 4005 4032 4038 4120 4144 4200 4272 4320 4326 4440 4450 4480 4635 4662 4711 4725 4736 4800 4806 4944 4984 4995 5040 5150 5180 5328 5340 5384 5400 5550 5562 5600 5607 5696 5760 5768 5920 6048 6057 6180 6216 6230 6300 6408 6475 6489 6586 6592 6660 6675 6720 6730 6993 7104 7120 7200 7210 7400 7416 7476 7560 7622 7725 7770 7992 8010 8064 8076 8240 8288 8325 8400 8544 8640 8652 8880 8900 9167 9270 9324 9345 9422 9450 9600 9612 9879 9888 9968 9990 10080 10095 10300 10360 10656 10680 10768 10800 10815 11100 11124 11200 11214 11392 11433 11536 11655 11840 12015 12096 12114 12360 12432 12460 12600 12816 12950 12978 13172 13184 13320 13350 13440 13460 13905 13986 14133 14208 14240 14400 14420 14800 14832 14952 15120 15244 15450 15540 15575 15984 16020 16152 16465 16480 16576 16650 16800 16821 16825 17088 17280 17304 17760 17800 18025 18171 18334 18540 18648 18690 18844 18900 19055 19224 19425 19467 19758 19776 19936 19980 20025 20160 20190 20600 20720 21312 21360 21536 21600 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2954653056 2961307680 2978558016 2991855150 2994580800 3012024960 3018808800 3077763600 3102664600 3109373064 3191312160 3195744538 3205241550 3231651780 3238930275 3256118400 3331471140 3350877768 3418924320 3424012005 3447095232 3454858960 3462484050 3490497675 3493677600 3545902400 3553569216 3590724200 3622570560 3652279472 3663133200 3693316320 3701634600 3723197520 3765031200 3798804800 3829574592 3877982136 3886716330 3948410240 3989140200 4025078400 4039564725 4102709184 4103684800 4108814406 4145830752 4164338925 4188597210 4192413120 4255082880 4273655400 4308869040 4318573700 4431979584 4441961520 4467837024 4528213200 4558565760 4565349340 4616645400 4653996900 4658236800 4664059596 4786968240 4793616807 4847477670 4884177600 4924421760 4935512800 4964263360 5020041600 5128386480 5170642848 5175100800 5182288440 5240516400 5318853600 5330353824 5386086300 5478419208 5527774336 5539974480 5544201600 5552451900 5584796280 5698207200 5706686675 5745158720 5830074495 5861013120 5922615360 5957116032 5983710300 5989161600 6037617600 6155527200 6163221609 6205329200 6218746128 6382624320 6391489076 6410483100 6463303560 6477860550 6662942280 6701755536 6837848640 6848024010 6894190464 6909717920 6924968100 6980995350 6987355200 7091804800 7107138432 7181448400 7245141120 7304558944 7326266400 7386632640 7403269200 7446395040 7530062400 7597609600 7659149184 7755964272 7773432660 7978280400 7989361345 8079129450 8205418368 8207369600 8217628812 8291661504 8328677850 8377194420 8384826240 8547310800 8617738080 8637147400 8863959168 8883923040 8935674048 9056426400 9130698680 9233290800 9307993800 9328119192 9573936480 9587233614 9694955340 9716790825 9768355200 9871025600 9928526720 10256772960 10272036015 10341285696 10364576880 10471493025 10481032800 10637707200 10660707648 10772172600 10956838416 11079948960 11104903800 11169592560 11396414400 11413373350 11490317440 11660148990 11845230720 11967420600 12075235200 12118694175 12311054400 12326443218 12410658400 12437492256 12765248640 12782978152 12820966200 12926607120 12955721100 13325884560 13403511072 13675697280 13696048020 13819435840 13849936200 13961990700 13974710400 14362896800 14380850421 14609117888 14652532800 14773265280 14806538400 14892790080 15060124800 15511928544 15546865320 15956560800 15978722690 16158258900 16435257624 16583323008 16657355700 16754388840 17094621600 17120060025 17235476160 17274294800 17767846080 17871348096 18112852800 18261397360 18466581600 18615987600 18656238384 19147872960 19174467228 19389910680 19433581650 19742051200 20513545920 20544072030 20682571392 20729153760 20942986050 20962065600 21275414400 21321415296 21544345200 21913676832 22159897920 22209807600 22339185120 22792828800 22826746700 23320297980 23934841200 23968084035 24237388350 24622108800 24652886436 24821316800 24874984512 25565956304 25641932400 25853214240 25911442200 26651769120 26807022144 27392096040 27638871680 27699872400 27923981400 28725793600 28761700842 29150372475 29218235776 29305065600 29613076800 29785580160 30816108045 31023857088 31093730640 31913121600 31957445380 32316517800 32870515248 33314711400 33508777680 34189243200 34240120050 34470952320 34548589600 35535692160 36225705600 36522794720 36933163200 37231975200 37312476768 38295745920 38348934456 38779821360 38867163300 39946806725 41027091840 41088144060 41458307520 41885972100 41924131200 43088690400 43142551263 43827353664 44319795840 44419615200 44678370240 45653493400 46640595960 47869682400 47936168070 48474776700 49305772872 49642633600 49749969024 51131912608 51283864800 51360180075 51706428480 51822884400 53303538240 53614044288 54784192080 55399744800 55847962800 57451587200 57523401684 58300744950 59226153600 61632216090 62047714176 62187461280 63826243200 63914890760 64633035600 65741030496 66629422800 67017555360 68378486400 68480240100 69097179200 71904252105 73045589440 73866326400 74463950400 74624953536 76697868912 77559642720 77734326600 79893613450 82176288120 82916615040 83771944200 86177380800 86285102526 87654707328 88839230400 89356740480 91306986800 93281191920 95739364800 95872336140 96949553400 98611545744 102263825216 102567729600 102720360150 103412856960 103645768800 106607076480 109568384160 110799489600 111695925600 115046803368 116601489900 119840420175 123264432180 124374922560 127829781520 129266071200 131482060992 133258845600 134035110720 136960480200 138194358400 143808504210 146091178880 148927900800 149249907072 153395737824 154080540225 155119285440 155468653200 159787226900 164352576240 167543888400 172354761600 172570205052 177678460800 182613973600 186562383840 191478729600 191744672280 193899106800 197223091488 204527650432 205135459200 205440720300 207291537600 215712756315 219136768320 221598979200 223391851200 230093606736 233202979800 239680840350 246528864360 248749845120 255659563040 258532142400 262964121984 266517691200 268070221440 273920960400 287617008420 306791475648 308161080450 310238570880 310937306400 319574453800 328705152480 335087776800 345140410104 359521260525 365227947200 373124767680 383489344560 387798213600 394446182976 410881440600 414583075200 431425512630 438273536640 446783702400 460187213472 466405959600 479361680700 493057728720 511319126080 517064284800 533035382400 547841920800 575234016840 613582951296 616322160900 621874612800 639148907600 657410304960 670175553600 690280820208 719042521050 730455894400 746249535360 766978689120 775596427200 788892365952 821762881200 862851025260 920374426944 932811919200 958723361400 986115457440 1022638252160 1078563781575 1095683841600 1150468033680 1232644321800 1243749225600 1278297815200 1314820609920 1340351107200 1380561640416 1438085042100 1533957378240 1551192854400 1643525762400 1725702050520 1840748853888 1865623838400 1917446722800 1972230914880 2157127563150 2191367683200 2300936067360 2465288643600 2556595630400 2761123280832 2876170084200 3067914756480 3287051524800 3451404101040 3731247676800 3834893445600 3944461829760 4314255126300 4601872134720 4930577287200 5113191260800 5522246561664 5752340168400 6574103049600 6902808202080 7669786891200 8628510252600 9203744269440 9861154574400 11504680336800 13805616404160 15339573782400 17257020505200 19722309148800 23009360673600 27611232808320 34514041010400 46018721347200 69028082020800 138056164041600
- Sum of all divisors σ(n): 606416758272000
- Sum of proper divisors (its aliquot sum) s(n): 468360594230400
- 138056164041600 is an abundant number, because the sum of its proper divisors (468360594230400) is greater than itself. Its abundance is 330304430188800
Bases of 138056164041600
- Binary: 111110110001111101101001001110111100011100000002
- Hexadecimal: 0x7D8FB49DE380
- Base-36: 1CXQ4JKDC0
Squares and roots of 138056164041600
- 138056164041600 squared (1380561640416002) is 19059504429881168846530560000
- 138056164041600 cubed (1380561640416003) is 2631282070123276531071370446387511296000000
-
The
square root of 138056164041600 is 11749730.3816555723 -
The
cube root of 138056164041600 is 51683.5021058221
Scales and comparisons
How big is 138056164041600?- 138,056,164,041,600 seconds is equal to 4,389,758 years, 51 weeks.
-
To count from 1 to 138,056,164,041,600 would take you about ten million, nine hundred seventy-four thousand, three hundred ninety-seven 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 138056164041600 cubic inches would be around 4307 feet tall.
Recreational maths with 138056164041600
- 138056164041600 backwards is 006140461650831
- 138056164041600 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138056164041600's digits is 45
- More coming soon!
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"Number 138056164041600 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 138056164041600 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/138056164041600/
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The information we have on file for 138056164041600 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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