137671968000
137,671,968,000 is an even composite number composed of six prime numbers multiplied together.
137671968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137671968000:
28 × 3 × 53 × 73 × 37 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 37 × 113)See below for interesting mathematical facts about the number 137671968000 from the Numbermatics database.
Names of 137671968000
- Cardinal: 137671968000 can be written as One hundred thirty-seven billion, six hundred seventy-one million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.37671968 × 1011
Factors of 137671968000
Divisors of 137671968000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 37 40 42 48 49 50 56 60 64 70 74 75 80 84 96 98 100 105 111 112 113 120 125 128 140 147 148 150 160 168 175 185 192 196 200 210 222 224 226 240 245 250 256 259 280 294 296 300 320 336 339 343 350 370 375 384 392 400 420 444 448 452 480 490 500 518 525 555 560 565 588 592 600 640 672 678 686 700 735 740 750 768 777 784 791 800 840 875 888 896 904 925 960 980 1000 1029 1036 1050 1110 1120 1130 1176 1184 1200 1225 1280 1295 1344 1356 1372 1400 1470 1480 1500 1554 1568 1582 1600 1680 1695 1715 1750 1776 1792 1808 1813 1850 1920 1960 2000 2058 2072 2100 2220 2240 2260 2352 2368 2373 2400 2450 2590 2625 2688 2712 2744 2775 2800 2825 2940 2960 3000 3108 3136 3164 3200 3360 3390 3430 3500 3552 3616 3626 3675 3700 3840 3885 3920 3955 4000 4116 4144 4181 4200 4440 4480 4520 4625 4704 4736 4746 4800 4900 5145 5180 5250 5376 5424 5439 5488 5537 5550 5600 5650 5880 5920 6000 6125 6216 6272 6328 6400 6475 6720 6780 6860 7000 7104 7232 7252 7350 7400 7770 7840 7910 8000 8232 8288 8362 8400 8475 8575 8880 8960 9040 9065 9250 9408 9472 9492 9600 9800 10290 10360 10500 10848 10878 10976 11074 11100 11200 11300 11760 11840 11865 12000 12250 12432 12543 12544 12656 12691 12950 13440 13560 13720 13875 14000 14125 14208 14464 14504 14700 14800 15540 15680 15820 16000 16464 16576 16611 16724 16800 16950 17150 17760 18080 18130 18375 18500 18816 18984 19200 19425 19600 19775 20580 20720 20905 21000 21696 21756 21952 22148 22200 22400 22600 23520 23680 23730 24000 24500 24864 25086 25312 25382 25725 25900 26880 27120 27195 27440 27685 27750 28000 28250 28416 28928 29008 29267 29400 29600 31080 31360 31640 32000 32375 32928 33152 33222 33448 33600 33900 34300 35520 36160 36260 36750 37000 37632 37968 38073 38759 38850 39200 39550 41160 41440 41810 42000 42375 42875 43392 43512 43904 44296 44400 44800 45200 45325 47040 47360 47460 48000 49000 49728 50172 50624 50764 51450 51800 54240 54390 54880 55370 55500 56000 56500 58016 58534 58800 59200 59325 62160 62715 62720 63280 63455 64750 65856 66304 66444 66896 67200 67800 68600 71040 72320 72520 73500 74000 75936 76146 77518 77700 78400 79100 82320 82880 83055 83620 84000 84750 85750 86784 87024 87801 87808 88592 88800 90400 90650 94080 94920 96000 97125 98000 98875 99456 100344 101248 101528 102900 103600 104525 108480 108780 109760 110740 111000 112000 113000 116032 116277 117068 117600 118400 118650 124320 125430 126560 126910 128625 129500 131712 132888 133792 134400 135600 135975 137200 138425 142080 144640 145040 146335 147000 148000 151872 152292 155036 155400 156800 158200 164640 165760 166110 167240 168000 169500 171500 174048 175602 177184 177600 180800 181300 188160 189840 190365 193795 194250 196000 197750 198912 200688 202496 203056 204869 205800 207200 209050 216960 217560 219520 221480 222000 224000 226000 226625 232064 232554 234136 235200 236800 237300 248640 250860 253120 253820 257250 259000 263424 265776 267584 271200 271950 274400 276850 290080 292670 294000 296000 296625 303744 304584 310072 310800 313575 313600 316400 317275 329280 331520 332220 334480 336000 339000 343000 348096 351204 354368 355200 361600 362600 379680 380730 387590 388500 392000 395500 401376 406112 409738 411600 414400 415275 418100 433920 435120 439005 439040 442960 444000 452000 453250 464128 465108 468272 470400 474600 497280 501720 506240 507640 514500 518000 522625 531552 535168 542400 543900 548800 553700 580160 581385 585340 588000 592000 593250 607488 609168 614607 620144 621600 627150 632800 634550 658560 664440 668960 672000 678000 679875 686000 692125 696192 702408 708736 710400 723200 725200 731675 759360 761460 775180 777000 784000 791000 802752 812224 819476 823200 828800 830550 836200 870240 878010 885920 888000 904000 906500 930216 936544 940800 949200 951825 968975 994560 1003440 1012480 1015280 1024345 1029000 1036000 1045250 1063104 1070336 1084800 1087800 1097600 1107400 1160320 1162770 1170680 1176000 1184000 1186500 1218336 1229214 1240288 1243200 1254300 1265600 1269100 1317120 1328880 1337920 1356000 1359750 1372000 1384250 1392384 1404816 1417472 1434083 1450400 1463350 1518720 1522920 1550360 1554000 1567875 1568000 1582000 1586375 1605504 1624448 1638952 1646400 1657600 1661100 1672400 1740480 1756020 1771840 1776000 1808000 1813000 1860432 1873088 1898400 1903650 1937950 2006880 2030560 2048690 2058000 2072000 2076375 2090500 2126208 2169600 2175600 2195025 2195200 2214800 2320640 2325540 2341360 2352000 2373000 2436672 2458428 2480576 2486400 2508600 2531200 2538200 2657760 2675840 2712000 2719500 2744000 2768500 2809632 2868166 2900800 2906925 2926700 3037440 3045840 3073035 3100720 3108000 3135750 3164000 3172750 3211008 3248896 3277904 3292800 3322200 3344800 3480960 3512040 3543680 3552000 3616000 3626000 3658375 3720864 3746176 3796800 3807300 3875900 4013760 4061120 4097380 4116000 4144000 4152750 4181000 4252416 4302249 4351200 4390050 4429600 4651080 4682720 4704000 4746000 4759125 4844875 4873344 4916856 4961152 4972800 5017200 5062400 5076400 5121725 5315520 5351680 5424000 5439000 5488000 5537000 5619264 5736332 5801600 5813850 5853400 6091680 6146070 6201440 6216000 6271500 6328000 6345500 6555808 6585600 6644400 6689600 6961920 7024080 7087360 7170415 7252000 7316750 7441728 7492352 7593600 7614600 7751800 8027520 8122240 8194760 8232000 8288000 8305500 8362000 8604498 8702400 8780100 8859200 9302160 9365440 9492000 9518250 9689750 9746688 9833712 9922304 10034400 10152800 10243450 10631040 10848000 10878000 10975125 10976000 11074000 11238528 11472664 11603200 11627700 11706800 12183360 12292140 12402880 12432000 12543000 12656000 12691000 13111616 13288800 13379200 14048160 14340830 14504000 14534625 14633500 14883456 15187200 15229200 15365175 15503600 16055040 16244480 16389520 16464000 16611000 16724000 17208996 17404800 17560200 17718400 18604320 18730880 18984000 19036500 19379500 19667424 20068800 20305600 20486900 21262080 21511245 21756000 21950250 22148000 22477056 22945328 23255400 23413600 24366720 24584280 24805760 24864000 25086000 25312000 25382000 25608625 26223232 26577600 26758400 28096320 28681660 29008000 29069250 29267000 29766912 30458400 30730350 31007200 32779040 32928000 33222000 33448000 34417992 34809600 35120400 35436800 35852075 37208640 37461760 37968000 38073000 38759000 39334848 40137600 40611200 40973800 43022490 43512000 43900500 44296000 45890656 46510800 46827200 48733440 49168560 49611520 50172000 50764000 51217250 52446464 53155200 56192640 57363320 58016000 58138500 58534000 60916800 61460700 62014400 65558080 66444000 66896000 68835984 70240800 71704150 74417280 75936000 76146000 76825875 77518000 78669696 80275200 81222400 81947600 86044980 87024000 87801000 88592000 91781312 93021600 93654400 98337120 100344000 101528000 102434500 106310400 107556225 112385280 114726640 116277000 117068000 121833600 122921400 124028800 131116160 132888000 133792000 137671968 140481600 143408300 148834560 152292000 153651750 155036000 157339392 163895200 172089960 174048000 175602000 177184000 179260375 183562624 186043200 187308800 196674240 200688000 203056000 204869000 215112450 229453280 232554000 234136000 243667200 245842800 248057600 262232320 265776000 275343936 280963200 286816600 304584000 307303500 310072000 327790400 344179920 351204000 358520750 367125248 372086400 393348480 401376000 406112000 409738000 430224900 458906560 465108000 468272000 491685600 531552000 537781125 550687872 561926400 573633200 609168000 614607000 620144000 655580800 688359840 702408000 717041500 744172800 786696960 819476000 860449800 917813120 930216000 936544000 983371200 1075562250 1101375744 1147266400 1218336000 1229214000 1240288000 1311161600 1376719680 1404816000 1434083000 1638952000 1720899600 1835626240 1860432000 1966742400 2151124500 2294532800 2458428000 2753439360 2809632000 2868166000 3277904000 3441799200 3720864000 3933484800 4302249000 4589065600 4916856000 5506878720 5736332000 6555808000 6883598400 8604498000 9178131200 9833712000 11472664000 13767196800 17208996000 19667424000 22945328000 27534393600 34417992000 45890656000 68835984000 137671968000
- Sum of all divisors σ(n): 552527539200
- Sum of proper divisors (its aliquot sum) s(n): 414855571200
- 137671968000 is an abundant number, because the sum of its proper divisors (414855571200) is greater than itself. Its abundance is 277183603200
Bases of 137671968000
- Binary: 100000000011011110001110000101000000002
- Hexadecimal: 0x200DE38500
- Base-36: 1R8UC2DC
Squares and roots of 137671968000
- 137671968000 squared (1376719680002) is 18953570772993024000000
- 137671968000 cubed (1376719680003) is 2609375388945230864351232000000000
-
The
square root of 137671968000 is 371041.7335017721 -
The
cube root of 137671968000 is 5163.5514280933
Scales and comparisons
How big is 137671968000?- 137,671,968,000 seconds is equal to 4,377 years, 28 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 137,671,968,000 would take you about eight thousand, seven hundred fifty-five 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 137671968000 cubic inches would be around 430.3 feet tall.
Recreational maths with 137671968000
- 137671968000 backwards is 000869176731
- 137671968000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137671968000's digits is 48
- More coming soon!
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The information we have on file for 137671968000 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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