137987928000
137,987,928,000 is an even composite number composed of six prime numbers multiplied together.
137987928000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 137987928000:
26 × 33 × 53 × 13 × 157 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 157 × 313)See below for interesting mathematical facts about the number 137987928000 from the Numbermatics database.
Names of 137987928000
- Cardinal: 137987928000 can be written as One hundred thirty-seven billion, nine hundred eighty-seven million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.37987928 × 1011
Factors of 137987928000
Divisors of 137987928000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 117 120 125 130 135 144 150 156 157 160 180 192 195 200 208 216 225 234 240 250 260 270 288 300 312 313 314 320 325 351 360 375 390 400 416 432 450 468 471 480 500 520 540 576 585 600 624 626 628 650 675 702 720 750 780 785 800 832 864 900 936 939 942 960 975 1000 1040 1080 1125 1170 1200 1248 1252 1256 1300 1350 1404 1413 1440 1500 1560 1565 1570 1600 1625 1728 1755 1800 1872 1878 1884 1950 2000 2041 2080 2160 2250 2340 2355 2400 2496 2504 2512 2600 2700 2808 2817 2826 2880 2925 3000 3120 3130 3140 3250 3375 3510 3600 3744 3756 3768 3900 3925 4000 4069 4082 4160 4239 4320 4500 4680 4695 4710 4800 4875 5008 5024 5200 5400 5616 5634 5652 5850 6000 6123 6240 6260 6280 6500 6750 7020 7065 7200 7488 7512 7536 7800 7825 7850 8000 8138 8164 8451 8478 8640 8775 9000 9360 9390 9420 9750 10016 10048 10205 10400 10800 11232 11268 11304 11700 11775 12000 12207 12246 12480 12520 12560 13000 13500 14040 14085 14130 14400 14625 15024 15072 15600 15650 15700 16276 16328 16902 16956 17550 18000 18369 18720 18780 18840 19500 19625 20032 20345 20410 20800 21195 21600 22464 22536 22608 23400 23475 23550 24000 24414 24492 25040 25120 26000 27000 28080 28170 28260 29250 30048 30144 30615 31200 31300 31400 32552 32656 33804 33912 35100 35325 36000 36621 36738 37440 37560 37680 39000 39125 39250 40690 40820 42255 42390 43200 43875 45072 45216 46800 46950 47100 48828 48984 49141 50080 50240 51025 52000 54000 55107 56160 56340 56520 58500 58875 60096 61035 61230 62400 62600 62800 65104 65312 67608 67824 70200 70425 70650 72000 73242 73476 75120 75360 78000 78250 78500 81380 81640 84510 84780 87750 90144 90432 91845 93600 93900 94200 97656 97968 98282 100160 101725 102050 104000 105975 108000 109863 110214 112320 112680 113040 117000 117375 117750 122070 122460 125200 125600 130208 130624 135216 135648 140400 140850 141300 146484 146952 147423 150240 150720 153075 156000 156500 157000 162760 163280 169020 169560 175500 176625 180288 183105 183690 187200 187800 188400 195312 195936 196564 203450 204100 211275 211950 216000 219726 220428 225360 226080 234000 234750 235500 244140 244920 245705 250400 251200 255125 260416 270432 271296 275535 280800 281700 282600 292968 293904 294846 300480 305175 306150 312000 313000 314000 325520 326560 338040 339120 351000 352125 353250 366210 367380 375600 376800 390624 391872 393128 406900 408200 422550 423900 439452 440856 442269 450720 452160 459225 468000 469500 471000 488280 489840 491410 500800 508625 510250 529875 540864 549315 551070 561600 563400 565200 585936 587808 589692 610350 612300 626000 628000 638833 651040 653120 676080 678240 702000 704250 706500 732420 734760 737115 751200 753600 765375 781248 786256 813800 816400 845100 847800 878904 881712 884538 901440 915525 918450 936000 939000 942000 976560 979680 982820 1017250 1020500 1056375 1059750 1098630 1102140 1126800 1130400 1171872 1175616 1179384 1220700 1224600 1228525 1252000 1256000 1277666 1302080 1326807 1352160 1356480 1377675 1404000 1408500 1413000 1464840 1469520 1474230 1502400 1525875 1530750 1572512 1627600 1632800 1690200 1695600 1757808 1763424 1769076 1831050 1836900 1878000 1884000 1916499 1953120 1959360 1965640 2034500 2041000 2112750 2119500 2197260 2204280 2211345 2253600 2260800 2296125 2343744 2358768 2441400 2449200 2457050 2504000 2555332 2653614 2704320 2746575 2755350 2808000 2817000 2826000 2929680 2939040 2948460 3051750 3061500 3145024 3194165 3255200 3265600 3380400 3391200 3515616 3526848 3538152 3662100 3673800 3685575 3756000 3768000 3832998 3906240 3931280 4069000 4082000 4225500 4239000 4394520 4408560 4422690 4507200 4577625 4592250 4717536 4882800 4898400 4914100 5110664 5307228 5493150 5510700 5634000 5652000 5749497 5859360 5878080 5896920 6103500 6123000 6142625 6388330 6510400 6634035 6760800 6782400 6888375 7031232 7076304 7324200 7347600 7371150 7512000 7665996 7862560 8138000 8164000 8451000 8478000 8789040 8817120 8845380 9155250 9184500 9435072 9582495 9765600 9796800 9828200 10221328 10614456 10986300 11021400 11056725 11268000 11304000 11498994 11718720 11793840 12207000 12246000 12285250 12776660 13268070 13521600 13732875 13776750 14152608 14648400 14695200 14742300 15331992 15725120 15970825 16276000 16328000 16902000 16956000 17248491 17578080 17634240 17690760 18310500 18369000 18427875 19164990 19531200 19656400 20442656 21228912 21972600 22042800 22113450 22536000 22997988 23587680 24414000 24492000 24570500 25553320 26536140 27465750 27553500 28305216 28747485 29296800 29390400 29484600 30663984 31941650 32552000 33170175 33804000 33912000 34496982 35156160 35381520 36621000 36738000 36855750 38329980 39312800 40885312 42457824 43945200 44085600 44226900 45995976 47175360 47912475 48828000 48984000 49141000 51106640 53072280 54931500 55107000 55283625 57494970 58593600 58969200 61327968 63883300 66340350 67608000 68993964 70763040 73242000 73476000 73711500 76659960 78625600 79854125 84915648 86242455 87890400 88171200 88453800 91991952 95824950 97656000 98282000 102213280 106144560 109863000 110214000 110567250 114989940 117938400 122655936 127766600 132680700 137987928 141526080 143737425 146484000 146952000 147423000 153319920 159708250 165850875 172484910 175780800 176907600 183983904 191649900 196564000 204426560 212289120 219726000 220428000 221134500 229979880 235876800 239562375 255533200 265361400 275975856 287474850 292968000 294846000 306639840 319416500 331701750 344969820 353815200 367967808 383299800 393128000 424578240 431212275 439452000 440856000 442269000 459959760 479124750 511066400 530722800 551951712 574949700 589692000 613279680 638833000 663403500 689939640 707630400 718687125 766599600 862424550 878904000 884538000 919919520 958249500 1022132800 1061445600 1103903424 1149899400 1179384000 1277666000 1326807000 1379879280 1437374250 1533199200 1724849100 1769076000 1839839040 1916499000 2122891200 2156061375 2299798800 2555332000 2653614000 2759758560 2874748500 3066398400 3449698200 3538152000 3832998000 4312122750 4599597600 5110664000 5307228000 5519517120 5749497000 6899396400 7665996000 8624245500 9199195200 10614456000 11498994000 13798792800 15331992000 17248491000 22997988000 27597585600 34496982000 45995976000 68993964000 137987928000
- Sum of all divisors σ(n): 550431248640
- Sum of proper divisors (its aliquot sum) s(n): 412443320640
- 137987928000 is an abundant number, because the sum of its proper divisors (412443320640) is greater than itself. Its abundance is 274455392640
Bases of 137987928000
- Binary: 100000001000001011100010101111110000002
- Hexadecimal: 0x2020B8AFC0
- Base-36: 1RE2G6O0
Squares and roots of 137987928000
- 137987928000 squared (1379879280002) is 19040668273733184000000
- 137987928000 cubed (1379879280003) is 2627382362827778885002752000000000
-
The
square root of 137987928000 is 371467.2636989699 -
The
cube root of 137987928000 is 5167.4985623131
Scales and comparisons
How big is 137987928000?- 137,987,928,000 seconds is equal to 4,387 years, 30 weeks, 4 days, 12 hours.
-
To count from 1 to 137,987,928,000 would take you about eight thousand, seven hundred seventy-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 137987928000 cubic inches would be around 430.6 feet tall.
Recreational maths with 137987928000
- 137987928000 backwards is 000829789731
- 137987928000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137987928000's digits is 54
- More coming soon!
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The information we have on file for 137987928000 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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