137225768680000
137,225,768,680,000 is an even composite number composed of seven prime numbers multiplied together.
137225768680000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 137225768680000:
26 × 54 × 7 × 11 × 13 × 17 × 4492
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 11 × 13 × 17 × 449 × 449)See below for interesting mathematical facts about the number 137225768680000 from the Numbermatics database.
Names of 137225768680000
- Cardinal: 137225768680000 can be written as One hundred thirty-seven trillion, two hundred twenty-five billion, seven hundred sixty-eight million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3722576868 × 1014
Factors of 137225768680000
Divisors of 137225768680000
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 17 20 22 25 26 28 32 34 35 40 44 50 52 55 56 64 65 68 70 77 80 85 88 91 100 104 110 112 119 125 130 136 140 143 154 160 170 175 176 182 187 200 208 220 221 224 238 250 260 272 275 280 286 308 320 325 340 350 352 364 374 385 400 416 425 440 442 448 449 455 476 500 520 544 550 560 572 595 616 625 650 680 700 704 715 728 748 770 800 832 850 875 880 884 898 910 935 952 1000 1001 1040 1088 1100 1105 1120 1144 1190 1232 1250 1300 1309 1360 1375 1400 1430 1456 1496 1540 1547 1600 1625 1700 1750 1760 1768 1796 1820 1870 1904 1925 2000 2002 2080 2125 2200 2210 2240 2245 2275 2288 2380 2431 2464 2500 2600 2618 2720 2750 2800 2860 2912 2975 2992 3080 3094 3143 3250 3400 3500 3520 3536 3575 3592 3640 3740 3808 3850 4000 4004 4160 4250 4375 4400 4420 4490 4550 4576 4675 4760 4862 4928 4939 5000 5005 5200 5236 5440 5500 5525 5600 5720 5824 5837 5950 5984 6160 6188 6286 6500 6545 6800 6875 7000 7072 7150 7184 7280 7480 7616 7633 7700 7735 8000 8008 8125 8500 8750 8800 8840 8980 9100 9152 9350 9520 9625 9724 9878 10000 10010 10400 10472 10625 11000 11050 11200 11225 11375 11440 11674 11900 11968 12155 12320 12376 12572 13000 13090 13600 13750 14000 14144 14300 14368 14560 14875 14960 15266 15400 15470 15715 16016 16250 17000 17017 17500 17600 17680 17875 17960 18200 18700 19040 19250 19448 19756 20000 20020 20800 20944 21250 22000 22100 22450 22750 22880 23348 23375 23800 24310 24640 24695 24752 25025 25144 26000 26180 27200 27500 27625 28000 28600 28736 29120 29185 29750 29920 30532 30800 30940 31430 32032 32500 32725 34000 34034 34573 35000 35360 35750 35920 36400 37400 38080 38165 38500 38675 38896 39512 40000 40040 40859 41888 42500 44000 44200 44900 45500 45760 46696 46750 47600 48125 48620 49390 49504 50050 50288 52000 52360 53431 55000 55250 56000 56125 56875 57200 58370 59500 59840 60775 61064 61600 61880 62860 64064 64207 65000 65450 68000 68068 69146 70000 70720 71500 71840 72800 74375 74800 76330 77000 77350 77792 78575 79024 80080 81718 83776 83963 85000 85085 88000 88400 89375 89800 91000 93392 93500 95200 96250 97240 98780 99008 99229 100100 100576 104000 104720 106862 110000 110500 112250 113750 114400 116740 116875 119000 121550 122128 123200 123475 123760 125125 125720 128414 130000 130900 136000 136136 138125 138292 140000 143000 143680 145600 145925 148750 149600 152660 154000 154700 155584 157150 158048 160160 163436 163625 167926 170000 170170 172865 176800 178750 179600 182000 186784 187000 190400 190825 192500 193375 194480 197560 198458 200200 201152 201601 204295 209440 213724 220000 221000 224500 227500 228800 233480 233750 238000 243100 244256 246950 247520 250250 251440 256828 260000 261800 267155 272272 276250 276584 280000 280625 286000 291850 297500 299200 303875 305320 308000 309400 314300 316096 320320 321035 326872 327250 335852 340000 340340 345730 353600 357500 359200 364000 373568 374000 381650 385000 386750 388960 392875 395120 396916 400400 403202 408590 418880 419815 425425 427448 440000 442000 449000 449449 455000 466960 467500 476000 486200 488512 493900 495040 496145 500500 502880 513656 520000 523600 534310 544544 552500 553168 561250 572000 583700 587741 595000 607750 610640 616000 617375 618800 625625 628600 642070 653744 654500 671704 680000 680680 691460 694603 715000 718400 728000 729625 748000 763300 770000 773500 777920 785750 790240 793832 800800 806404 817180 818125 839630 850850 854896 864325 884000 898000 898898 910000 933920 935000 952000 954125 966875 972400 987800 992290 1001000 1005760 1008005 1021475 1027312 1047200 1068620 1089088 1091519 1105000 1106336 1122500 1144000 1167400 1175482 1190000 1215500 1221280 1234750 1237600 1251250 1257200 1284140 1307488 1309000 1335775 1343408 1361360 1382920 1389206 1411207 1430000 1459250 1496000 1519375 1526600 1540000 1547000 1571500 1580480 1587664 1601600 1605175 1612808 1634360 1636250 1679260 1701700 1709792 1728650 1768000 1796000 1797796 1820000 1867840 1870000 1908250 1933750 1944800 1964375 1975600 1984580 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8870444000 8910764200 8988980000 9172845500 9225261760 9424846750 9550791250 9596207600 9702048125 9801840620 9980055904 10090130050 10483252000 10555828360 10915190000 11088055000 11138455250 11289656000 11466056875 11531577200 11754820000 11995259500 12063803840 12225012800 12252300775 12418621600 12475069880 12915366464 13104065000 13194785450 13708868000 13722576868 13892060000 14112070000 14257222720 14414471500 14676552800 14994074375 15079754800 15281266000 15523277000 15593837350 15682944992 16144208080 16889325376 17136085000 17153221085 17740888000 17821528400 17977960000 18018089375 18345691000 18849693500 19101582500 19192415200 19404096250 19603681240 19960111808 20180260100 20966504000 21111656720 21830380000 22176110000 22276910500 22932113750 23063154400 23509640000 23562116875 23990519000 24504601550 24837243200 24950139760 25225325125 26208130000 26389570900 27417736000 27445153736 27784120000 27846138125 28224140000 28828943000 29353105600 29988148750 30159509600 30562532000 31046554000 31187674700 31365889984 32288416160 32986963625 34272170000 34306442170 35643056800 36036178750 36691382000 37699387000 38203165000 38384830400 38808192500 38984593375 39207362480 40360520200 42223313440 43660760000 44352220000 44553821000 45864227500 46126308800 47124233750 47981038000 49009203100 49900279520 50450650250 52416260000 52779141800 54890307472 55692276250 56448280000 57657886000 59976297500 60319019200 61125064000 61261503875 62093108000 62375349400 64576832320 65973927250 68544340000 68612884340 71286113600 72072357500 73382764000 75398774000 76406330000 77616385000 77969186750 78414724960 80721040400 84446626880 85766105425 88704440000 89107642000 91728455000 94248467500 95962076000 98018406200 99800559040 100901300500 104832520000 105558283600 109780614944 111384552500 115315772000 119952595000 122523007750 124186216000 124750698800 126126625625 131947854500 137088680000 137225768680 144144715000 146765528000 150797548000 152812660000 155232770000 155938373500 156829449920 161442080800 164934818125 171532210850 178215284000 183456910000 188496935000 191924152000 194922966875 196036812400 201802601000 211116567200 219561229888 222769105000 230631544000 239905190000 245046015500 249501397600 252253251250 263895709000 274451537360 288289430000 301595096000 305625320000 306307519375 310465540000 311876747000 322884161600 329869636250 343064421700 356430568000 366913820000 376993870000 389845933750 392073624800 403605202000 422233134400 428830527125 445538210000 479810380000 490092031000 499002795200 504506502500 527791418000 548903074720 576578860000 612615038750 620931080000 623753494000 659739272500 686128843400 733827640000 753987740000 779691867500 784147249600 807210404000 857661054250 891076420000 959620760000 980184062000 1009013005000 1055582836000 1097806149440 1153157720000 1225230077500 1247506988000 1319478545000 1372257686800 1507975480000 1559383735000 1614420808000 1715322108500 1782152840000 1960368124000 2018026010000 2111165672000 2144152635625 2450460155000 2495013976000 2638957090000 2744515373600 3118767470000 3430644217000 3920736248000 4036052020000 4288305271250 4900920310000 5277914180000 5489030747200 6237534940000 6861288434000 8072104040000 8576610542500 9801840620000 10555828360000 12475069880000 13722576868000 17153221085000 19603681240000 27445153736000 34306442170000 68612884340000 137225768680000
- Sum of all divisors σ(n): 484827820735104
- Sum of proper divisors (its aliquot sum) s(n): 347602052055104
- 137225768680000 is an abundant number, because the sum of its proper divisors (347602052055104) is greater than itself. Its abundance is 210376283375104
Bases of 137225768680000
- Binary: 111110011001110010111010011001000111010010000002
- Hexadecimal: 0x7CCE5D323A40
- Base-36: 1CN4NBLVLS
Squares and roots of 137225768680000
- 137225768680000 squared (1372257686800002) is 18830911589816868942400000000
- 137225768680000 cubed (1372257686800003) is 2584086317857740701051658644032000000000000
-
The
square root of 137225768680000 is 11714340.3006742125 -
The
cube root of 137225768680000 is 51579.6697798107
Scales and comparisons
How big is 137225768680000?- 137,225,768,680,000 seconds is equal to 4,363,354 years, 50 weeks, 5 days, 13 hours, 46 minutes, 40 seconds.
-
To count from 1 to 137,225,768,680,000 would take you about ten million, nine hundred eight thousand, three hundred eighty-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 137225768680000 cubic inches would be around 4298.3 feet tall.
Recreational maths with 137225768680000
- 137225768680000 backwards is 000086867522731
- 137225768680000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137225768680000's digits is 55
- More coming soon!
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The information we have on file for 137225768680000 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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