137045621140039270400
137,045,621,140,039,270,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 137045621140039270400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1944 divisors.
137045621140039270400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 137045621140039270400:
217 × 52 × 73 × 292 × 120412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 29 × 29 × 12041 × 12041)See below for interesting mathematical facts about the number 137045621140039270400 from the Numbermatics database.
Names of 137045621140039270400
- Cardinal: 137045621140039270400 can be written as One hundred thirty-seven quintillion, forty-five quadrillion, six hundred twenty-one trillion, one hundred forty billion, thirty-nine million, two hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.370456211400392704 × 1020
Factors of 137045621140039270400
Divisors of 137045621140039270400
- Number of divisors d(n): 1944
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 49 50 56 58 64 70 80 98 100 112 116 128 140 145 160 175 196 200 203 224 232 245 256 280 290 320 343 350 392 400 406 448 464 490 512 560 580 640 686 700 725 784 800 812 841 896 928 980 1015 1024 1120 1160 1225 1280 1372 1400 1421 1450 1568 1600 1624 1682 1715 1792 1856 1960 2030 2048 2240 2320 2450 2560 2744 2800 2842 2900 3136 3200 3248 3364 3430 3584 3712 3920 4060 4096 4205 4480 4640 4900 5075 5120 5488 5600 5684 5800 5887 6272 6400 6496 6728 6860 7105 7168 7424 7840 8120 8192 8410 8575 8960 9280 9800 9947 10150 10240 10976 11200 11368 11600 11774 12041 12544 12800 12992 13456 13720 14210 14336 14848 15680 16240 16384 16820 17150 17920 18560 19600 19894 20300 20480 21025 21952 22400 22736 23200 23548 24082 25088 25600 25984 26912 27440 28420 28672 29435 29696 31360 32480 32768 33640 34300 35525 35840 37120 39200 39788 40600 40960 41209 42050 43904 44800 45472 46400 47096 48164 49735 50176 51200 51968 53824 54880 56840 57344 58870 59392 60205 62720 64960 65536 67280 68600 71050 71680 74240 78400 79576 81200 81920 82418 84100 84287 87808 89600 90944 92800 94192 96328 99470 100352 102400 103936 107648 109760 113680 114688 117740 118784 120410 125440 129920 131072 134560 137200 142100 143360 147175 148480 156800 159152 162400 163840 164836 168200 168574 175616 179200 181888 185600 188384 192656 198940 200704 204800 206045 207872 215296 219520 227360 229376 235480 237568 240820 248675 250880 259840 269120 274400 284200 286720 288463 294350 296960 301025 313600 318304 324800 327680 329672 336400 337148 349189 351232 358400 363776 371200 376768 385312 397880 401408 409600 412090 415744 421435 430592 439040 454720 458752 470960 475136 481640 497350 501760 519680 538240 548800 568400 573440 576926 588700 590009 593920 602050 627200 636608 649600 655360 659344 672800 674296 698378 702464 716800 727552 742400 753536 770624 795760 802816 819200 824180 831488 842870 861184 878080 909440 917504 941920 950272 963280 994700 1003520 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2676672287891392 2731298252950400 2755516661104640 2845395339673600 2909920611942400 2953569421121536 3013846348083200 3059054043304448 3121483717657600 3259111085375488 3325623556505600 3345840359864240 3375507909853184 3444395826380800 3496061763776512 3691961776401920 3823817554130560 3857723325546496 3995499158601728 4073888856719360 4182300449830300 4219384887316480 4370077204720640 4614952220502400 4655872979107840 4779771942663200 4822154156933120 4994373948252160 5092361070899200 5274231109145600 5353344575782784 5462596505900800 5690790679347200 5819841223884800 5907138842243072 6027692696166400 6118108086608896 6242967435315200 6518222170750976 6691680719728480 6751015819706368 6888791652761600 6992123527553024 7383923552803840 7647635108261120 7990998317203456 8147777713438720 8364600899660600 8438769774632960 8740154409441280 9229904441004800 9559543885326400 9644308313866240 9988747896504320 10184722141798400 10548462218291200 10706689151565568 10925193011801600 11381581358694400 11639682447769600 11814277684486144 12055385392332800 12236216173217792 12485934870630400 13383361439456960 13502031639412736 13777583305523200 13984247055106048 14767847105607680 15295270216522240 15981996634406912 16295555426877440 16729201799321200 16877539549265920 17480308818882560 18459808882009600 19119087770652800 19288616627732480 19977495793008640 20369444283596800 21096924436582400 21413378303131136 21850386023603200 23279364895539200 23628555368972288 24110770784665600 24472432346435584 24971869741260800 26766722878913920 27004063278825472 27968494110212096 29535694211215360 30590540433044480 32591110853754880 33458403598642400 33755079098531840 34960617637765120 36919617764019200 38238175541305600 39954991586017280 40738888567193600 42193848873164800 42826756606262272 43700772047206400 47257110737944576 48221541569331200 48944864692871168 49943739482521600 53533445757827840 55936988220424192 59071388422430720 61181080866088960 66916807197284800 67510158197063680 69921235275530240 73839235528038400 76476351082611200 79909983172034560 81477777134387200 84387697746329600 85653513212524544 87401544094412800 94514221475889152 96443083138662400 97889729385742336 99887478965043200 107066891515655680 111873976440848384 118142776844861440 122362161732177920 133833614394569600 135020316394127360 139842470551060480 147678471056076800 152952702165222400 162955554268774400 168775395492659200 171307026425049088 174803088188825600 189028442951778304 195779458771484672 199774957930086400 214133783031311360 236285553689722880 244724323464355840 267667228789139200 279684941102120960 295356942112153600 305905404330444800 337550790985318400 342614052850098176 349606176377651200 391558917542969344 399549915860172800 428267566062622720 472571107379445760 489448646928711680 535334457578278400 559369882204241920 590713884224307200 611810808660889600 675101581970636800 685228105700196352 699212352755302400 783117835085938688 856535132125245440 945142214758891520 978897293857423360 1070668915156556800 1181427768448614400 1223621617321779200 1370456211400392704 1398424705510604800 1713070264250490880 1957794587714846720 2141337830313113600 2362855536897228800 2447243234643558400 2740912422800785408 2796849411021209600 3426140528500981760 3915589175429693440 4282675660626227200 4725711073794457600 4894486469287116800 5481824845601570816 6852281057001963520 8565351321252454400 9788972938574233600 13704562114003927040 17130702642504908800 19577945877148467200 27409124228007854080 34261405285009817600 68522810570019635200 137045621140039270400
- Sum of all divisors σ(n): 410524695539441355600
- Sum of proper divisors (its aliquot sum) s(n): 273479074399402085200
- 137045621140039270400 is an abundant number, because the sum of its proper divisors (273479074399402085200) is greater than itself. Its abundance is 136433453259362814800
Bases of 137045621140039270400
- Binary: 11101101101111000111101101001010011111110101100111000000000000000002
- Hexadecimal: 0x76DE3DA53FACE0000
- Base-36: SX7I27S3MVY0W
Squares and roots of 137045621140039270400
- 137045621140039270400 squared (1370456211400392704002) is 18781502273659178572320834054164316160000
- 137045621140039270400 cubed (1370456211400392704003) is 2573922645036681945212774619722019579852180276761329664000000
-
The
square root of 137045621140039270400 is 11706648587.0226441337 -
The
cube root of 137045621140039270400 is 5155708.8939048287
Scales and comparisons
How big is 137045621140039270400?- 137,045,621,140,039,270,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,045,621,140,039,270,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137045621140039270400 cubic inches would be around 429642.4 feet tall.
Recreational maths with 137045621140039270400
- 137045621140039270400 backwards is 004072930041126540731
- The number of decimal digits it has is: 21
- The sum of 137045621140039270400's digits is 59
- More coming soon!
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"Number 137045621140039270400 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 137045621140039270400 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/137045621140039270400/
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Numbermatics. 2024. "Number 137045621140039270400 - Facts about the integer". https://numbermatics.com/n/137045621140039270400/
The information we have on file for 137045621140039270400 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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