13158117660672000
13,158,117,660,672,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13158117660672000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
13158117660672000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13158117660672000:
214 × 33 × 53 × 17 × 2413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 241 × 241 × 241)See below for interesting mathematical facts about the number 13158117660672000 from the Numbermatics database.
Names of 13158117660672000
- Cardinal: 13158117660672000 can be written as Thirteen quadrillion, one hundred fifty-eight trillion, one hundred seventeen billion, six hundred sixty million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.3158117660672 × 1016
Factors of 13158117660672000
Divisors of 13158117660672000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 120 125 128 135 136 144 150 153 160 170 180 192 200 204 216 225 240 241 250 255 256 270 272 288 300 306 320 340 360 375 384 400 408 425 432 450 459 480 482 500 510 512 540 544 576 600 612 640 675 680 720 723 750 765 768 800 816 850 864 900 918 960 964 1000 1020 1024 1080 1088 1125 1152 1200 1205 1224 1275 1280 1350 1360 1440 1446 1500 1530 1536 1600 1632 1700 1728 1800 1836 1920 1928 2000 2040 2048 2125 2160 2169 2176 2250 2295 2304 2400 2410 2448 2550 2560 2700 2720 2880 2892 3000 3060 3072 3200 3264 3375 3400 3456 3600 3615 3672 3825 3840 3856 4000 4080 4096 4097 4250 4320 4338 4352 4500 4590 4608 4800 4820 4896 5100 5120 5400 5440 5760 5784 6000 6025 6120 6144 6375 6400 6507 6528 6750 6800 6912 7200 7230 7344 7650 7680 7712 8000 8160 8192 8194 8500 8640 8676 8704 9000 9180 9216 9600 9640 9792 10200 10240 10800 10845 10880 11475 11520 11568 12000 12050 12240 12288 12291 12750 12800 13014 13056 13500 13600 13824 14400 14460 14688 15300 15360 15424 16000 16320 16384 16388 17000 17280 17352 17408 18000 18075 18360 18432 19125 19200 19280 19584 20400 20480 20485 21600 21690 21760 22950 23040 23136 24000 24100 24480 24576 24582 25500 25600 26028 26112 27000 27200 27648 28800 28920 29376 30125 30600 30720 30848 32000 32535 32640 32776 34000 34560 34704 34816 36000 36150 36720 36864 36873 38250 38400 38560 39168 40800 40960 40970 43200 43380 43520 45900 46080 46272 48000 48200 48960 49152 49164 51000 51200 52056 52224 54000 54225 54400 55296 57375 57600 57840 58081 58752 60250 61200 61440 61455 61696 64000 65070 65280 65552 68000 69120 69408 69632 72000 72300 73440 73728 73746 76500 76800 77120 78336 81600 81920 81940 86400 86760 87040 90375 91800 92160 92544 96000 96400 97920 98328 102000 102400 102425 104112 104448 108000 108450 108800 110592 110619 114750 115200 115680 116162 117504 120500 122400 122880 122910 123392 128000 130140 130560 131104 136000 138240 138816 139264 144000 144600 146880 147456 147492 153000 153600 154240 156672 162675 163200 163880 172800 173520 174080 174243 180750 183600 184320 184365 185088 192000 192800 195840 196656 204000 204800 204850 208224 208896 216000 216900 217600 221184 221238 229500 230400 231360 232324 235008 241000 244800 245760 245820 246784 256000 260280 261120 262208 271125 272000 276480 277632 278528 288000 289200 290405 293760 294984 306000 307200 307275 308480 313344 325350 326400 327760 345600 347040 348160 348486 361500 367200 368640 368730 370176 384000 385600 391680 393312 408000 409600 409700 416448 417792 432000 433800 435200 442368 442476 459000 460800 462720 464648 470016 482000 489600 491640 493568 512000 512125 520560 522240 522729 524416 542250 544000 552960 553095 555264 576000 578400 580810 587520 589968 612000 614400 614550 616960 626688 650700 652800 655520 691200 694080 696320 696972 723000 734400 737280 737460 740352 768000 771200 783360 786624 813375 816000 819400 832896 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3687300 3701760 3717184 3760128 3856000 3916800 3933120 3948544 3949508 4097000 4164480 4177920 4181832 4195328 4338000 4352000 4356075 4424760 4442112 4608000 4609125 4627200 4646480 4700160 4719744 4896000 4916400 4935680 4936885 5205600 5222400 5227290 5244160 5529600 5530950 5552640 5575776 5784000 5808100 5875200 5899680 5922816 5924262 6144000 6145500 6169600 6266880 6272748 6292992 6507000 6528000 6555200 6663168 6912000 6940800 6963200 6969720 7079616 7260125 7344000 7374600 7403520 7434368 7520256 7712000 7833600 7840935 7866240 7899016 8194000 8328960 8363664 8390656 8676000 8704000 8712150 8849520 8884224 8886393 9216000 9218250 9254400 9292960 9400320 9439488 9792000 9832800 9871360 9873770 10411200 10444800 10454580 10488320 11059200 11061900 11105280 11151552 11568000 11616200 11750400 11799360 11845632 11848524 12291000 12339200 12533760 12545496 12585984 13014000 13056000 13068225 13110400 13326336 13824000 13827375 13881600 13939440 13997521 14159232 14520250 14688000 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302346453600 303322214400 304586056960 321164697600 321243106950 322502883840 335940504000 341237491200 342659314080 344003076096 356849664000 356936785500 358336537600 363986657280 365503268352 377933067000 379152768000 380732571200 387003460608 401455872000 403128604800 404429619200 411191176896 426546864000 428324142600 430003845120 436783988736 447920672000 454983321600 456879085440 475915714000 483754325760 487337691136 503910756000 505537024000 513988971120 516004614144 535274496000 535405178250 537504806400 545979985920 548254902528 568729152000 571098856800 573338460160 604692907200 606644428800 609172113920 642329395200 642486213900 645005767680 671881008000 682474982400 685318628160 688006152192 713873571000 716673075200 727973314560 731006536704 755866134000 758305536000 761465142400 774006921216 802911744000 803107767375 806257209600 822382353792 853093728000 856648285200 860007690240 895841344000 909966643200 913758170880 951831428000 967508651520 974675382272 1007821512000 1011074048000 1027977942240 1032009228288 1070548992000 1070810356500 1075009612800 1091959971840 1096509805056 1137458304000 1142197713600 1146676920320 1209385814400 1213288857600 1218344227840 1284972427800 1290011535360 1343762016000 1364949964800 1370637256320 1427747142000 1433346150400 1462013073408 1511732268000 1516611072000 1522930284800 1548013842432 1605823488000 1606215534750 1612514419200 1644764707584 1706187456000 1713296570400 1720015380480 1791682688000 1819933286400 1827516341760 1903662856000 1935017303040 1949350764544 2015643024000 2022148096000 2055955884480 2064018456576 2141620713000 2150019225600 2183919943680 2193019610112 2274916608000 2284395427200 2418771628800 2436688455680 2569944855600 2580023070720 2687524032000 2729899929600 2741274512640 2855494284000 2866692300800 2924026146816 3023464536000 3033222144000 3045860569600 3096027684864 3211646976000 3212431069500 3225028838400 3289529415168 3412374912000 3426593140800 3440030760960 3583365376000 3639866572800 3655032683520 3807325712000 3870034606080 3898701529088 4031286048000 4111911768960 4283241426000 4300038451200 4386039220224 4549833216000 4568790854400 4837543257600 4873376911360 5139889711200 5160046141440 5375048064000 5459799859200 5482549025280 5710988568000 5733384601600 5848052293632 6046929072000 6066444288000 6091721139200 6192055369728 6424862139000 6450057676800 6579058830336 6824749824000 6853186281600 7166730752000 7310065367040 7614651424000 7740069212160 8062572096000 8223823537920 8566482852000 8600076902400 8772078440448 9099666432000 9137581708800 9675086515200 9746753822720 10279779422400 10320092282880 10750096128000 10919599718400 10965098050560 11421977136000 11696104587264 12093858144000 12183442278400 12849724278000 12900115353600 13158117660672 13649499648000 13706372563200 14333461504000 14620130734080 15229302848000 15480138424320 16125144192000 16447647075840 17132965704000 17200153804800 17544156880896 18199332864000 18275163417600 19350173030400 19493507645440 20559558844800 21500192256000 21930196101120 22843954272000 24187716288000 24366884556800 25699448556000 25800230707200 26316235321344 27298999296000 27412745126400 28666923008000 29240261468160 30458605696000 30960276848640 32250288384000 32895294151680 34265931408000 35088313761792 36550326835200 38700346060800 41119117689600 43000384512000 43860392202240 45687908544000 48375432576000 48733769113600 51398897112000 51600461414400 52632470642688 54597998592000 54825490252800 58480522936320 60917211392000 64500576768000 65790588303360 68531862816000 73100653670400 77400692121600 82238235379200 86000769024000 87720784404480 91375817088000 96750865152000 97467538227200 102797794224000 105264941285376 109650980505600 121834422784000 129001153536000 131581176606720 137063725632000 146201307340800 154801384243200 164476470758400 175441568808960 182751634176000 193501730304000 205595588448000 219301961011200 243668845568000 258002307072000 263162353213440 274127451264000 292402614681600 328952941516800 365503268352000 387003460608000 411191176896000 438603922022400 487337691136000 526324706426880 548254902528000 657905883033600 731006536704000 774006921216000 822382353792000 877207844044800 1096509805056000 1315811766067200 1462013073408000 1644764707584000 2193019610112000 2631623532134400 3289529415168000 4386039220224000 6579058830336000 13158117660672000
- Sum of all divisors σ(n): 51730979827887360
- Sum of proper divisors (its aliquot sum) s(n): 38572862167215360
- 13158117660672000 is an abundant number, because the sum of its proper divisors (38572862167215360) is greater than itself. Its abundance is 25414744506543360
Bases of 13158117660672000
- Binary: 1011101011111100111101000000010001001111000000000000002
- Hexadecimal: 0x2EBF3D0113C000
- Base-36: 3LK5VSYMTC0
Squares and roots of 13158117660672000
- 13158117660672000 squared (131581176606720002) is 173136060372088385735491584000000
- 13158117660672000 cubed (131581176606720003) is 2278144653681149791997107295426023784448000000000
-
The
square root of 13158117660672000 is 114708838.6336118391 -
The
cube root of 13158117660672000 is 236082.9310948995
Scales and comparisons
How big is 13158117660672000?- 13,158,117,660,672,000 seconds is equal to 418,387,440 years, 45 weeks, 5 days.
-
To count from 1 to 13,158,117,660,672,000 would take you about one billion, two hundred fifty-five million, one hundred sixty-two thousand, three hundred twenty-two 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 13158117660672000 cubic inches would be around 19673.6 feet tall.
Recreational maths with 13158117660672000
- 13158117660672000 backwards is 00027606671185131
- 13158117660672000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13158117660672000's digits is 54
- More coming soon!
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"Number 13158117660672000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 13158117660672000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/13158117660672000/
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The information we have on file for 13158117660672000 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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