137920360448000
137,920,360,448,000 is an even composite number composed of five prime numbers multiplied together.
137920360448000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137920360448000:
215 × 53 × 13 × 71 × 1912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 71 × 191 × 191)See below for interesting mathematical facts about the number 137920360448000 from the Numbermatics database.
Names of 137920360448000
- Cardinal: 137920360448000 can be written as One hundred thirty-seven trillion, nine hundred twenty billion, three hundred sixty million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.37920360448 × 1014
Factors of 137920360448000
Divisors of 137920360448000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 71 80 100 104 125 128 130 142 160 191 200 208 250 256 260 284 320 325 355 382 400 416 500 512 520 568 640 650 710 764 800 832 923 955 1000 1024 1040 1136 1280 1300 1420 1528 1600 1625 1664 1775 1846 1910 2000 2048 2080 2272 2483 2560 2600 2840 3056 3200 3250 3328 3550 3692 3820 4000 4096 4160 4544 4615 4775 4966 5120 5200 5680 6112 6400 6500 6656 7100 7384 7640 8000 8192 8320 8875 9088 9230 9550 9932 10240 10400 11360 12224 12415 12800 13000 13312 13561 14200 14768 15280 16000 16384 16640 17750 18176 18460 19100 19864 20480 20800 22720 23075 23875 24448 24830 25600 26000 26624 27122 28400 29536 30560 32000 32768 33280 35500 36352 36481 36920 38200 39728 40960 41600 45440 46150 47750 48896 49660 51200 52000 53248 54244 56800 59072 61120 62075 64000 66560 67805 71000 72704 72962 73840 76400 79456 81920 83200 90880 92300 95500 97792 99320 102400 104000 106496 108488 113600 115375 118144 122240 124150 128000 133120 135610 142000 145408 145924 147680 152800 158912 163840 166400 176293 181760 182405 184600 191000 195584 198640 204800 208000 212992 216976 227200 230750 236288 244480 248300 256000 266240 271220 284000 290816 291848 295360 305600 310375 317824 332800 339025 352586 363520 364810 369200 382000 391168 397280 409600 416000 425984 433952 454400 461500 472576 474253 488960 496600 512000 532480 542440 568000 581632 583696 590720 611200 620750 635648 665600 678050 705172 727040 729620 738400 764000 782336 794560 819200 832000 867904 881465 908800 912025 923000 945152 948506 977920 993200 1024000 1064960 1084880 1136000 1163264 1167392 1181440 1222400 1241500 1271296 1331200 1356100 1410344 1454080 1459240 1476800 1528000 1564672 1589120 1664000 1695125 1735808 1762930 1817600 1824050 1846000 1890304 1897012 1955840 1986400 2048000 2129920 2169760 2272000 2326528 2334784 2362880 2371265 2444800 2483000 2542592 2590151 2662400 2712200 2820688 2908160 2918480 2953600 3056000 3129344 3178240 3328000 3390250 3471616 3525860 3635200 3648100 3692000 3780608 3794024 3911680 3972800 4096000 4339520 4407325 4544000 4560125 4669568 4725760 4742530 4889600 4966000 5085184 5180302 5324800 5424400 5641376 5816320 5836960 5907200 6112000 6258688 6356480 6656000 6780500 6943232 7051720 7270400 7296200 7384000 7561216 7588048 7823360 7945600 8679040 8814650 9088000 9120250 9339136 9451520 9485060 9779200 9932000 10170368 10360604 10649600 10848800 11282752 11632640 11673920 11814400 11856325 12224000 12712960 12950755 13312000 13561000 13886464 14103440 14540800 14592400 14768000 15122432 15176096 15646720 15891200 17358080 17629300 18176000 18240500 18678272 18903040 18970120 19558400 19864000 20340736 20721208 21697600 22036625 22565504 23347840 23628800 23712650 24448000 25425920 25901510 26624000 27122000 27772928 28206880 29081600 29184800 29536000 30244864 30352192 31293440 31782400 33671963 34716160 35258600 36352000 36481000 37356544 37806080 37940240 39116800 39728000 40681472 41442416 43395200 44073250 45131008 46695680 47257600 47425300 48896000 50851840 51803020 53248000 54244000 55545856 56413760 58163200 58369600 59072000 59281625 60704384 63564800 64753775 67343926 69432320 70517200 72704000 72962000 74713088 75612160 75880480 78233600 79456000 81362944 82884832 86790400 88146500 90262016 93391360 94515200 94850600 97792000 101703680 103606040 108488000 111091712 112827520 116739200 118144000 118563250 121408768 127129600 129507550 134687852 138864640 141034400 145408000 145924000 149426176 151224320 151760960 156467200 158912000 165769664 168359815 173580800 176293000 180524032 186782720 189030400 189701200 195584000 203407360 207212080 216976000 222183424 225655040 233478400 236288000 237126500 242817536 254259200 259015100 269375704 277729280 282068800 290816000 291848000 298852352 303521920 317824000 323768875 331539328 336719630 347161600 352586000 361048064 373565440 378060800 379402400 391168000 406814720 414424160 433952000 444366848 451310080 466956800 472576000 474253000 485635072 508518400 518030200 538751408 555458560 564137600 583696000 597704704 607043840 635648000 647537750 663078656 673439260 694323200 705172000 722096128 747130880 756121600 758804800 782336000 828848320 841799075 867904000 902620160 933913600 945152000 948506000 971270144 1017036800 1036060400 1077502816 1110917120 1128275200 1167392000 1195409408 1214087680 1271296000 1295075500 1326157312 1346878520 1388646400 1410344000 1444192256 1494261760 1517609600 1657696640 1683598150 1735808000 1805240320 1867827200 1890304000 1897012000 1942540288 2034073600 2072120800 2155005632 2221834240 2256550400 2334784000 2428175360 2542592000 2590151000 2652314624 2693757040 2777292800 2820688000 2888384512 2988523520 3035219200 3315393280 3367196300 3471616000 3610480640 3735654400 3780608000 3794024000 3885080576 4144241600 4208995375 4310011264 4513100800 4669568000 4856350720 5085184000 5180302000 5304629248 5387514080 5554585600 5641376000 5776769024 5977047040 6070438400 6630786560 6734392600 6943232000 7220961280 7471308800 7588048000 7770161152 8288483200 8417990750 8620022528 9026201600 9339136000 9712701440 10170368000 10360604000 10609258496 10775028160 11109171200 11282752000 12140876800 13261573120 13468785200 13886464000 14441922560 14942617600 15176096000 15540322304 16576966400 16835981500 17240045056 18052403200 18678272000 19425402880 20721208000 21218516992 21550056320 22565504000 24281753600 26523146240 26937570400 27772928000 28883845120 29885235200 30352192000 33153932800 33671963000 34480090112 36104806400 37356544000 38850805760 41442416000 42437033984 43100112640 45131008000 48563507200 53046292480 53875140800 55545856000 60704384000 66307865600 67343926000 68960180224 72209612800 74713088000 77701611520 82884832000 84874067968 86200225280 90262016000 97127014400 106092584960 107750281600 121408768000 132615731200 134687852000 137920360448 144419225600 149426176000 165769664000 172400450560 180524032000 194254028800 212185169920 215500563200 242817536000 265231462400 269375704000 275840720896 331539328000 344800901120 361048064000 388508057600 424370339840 431001126400 485635072000 530462924800 538751408000 551681441792 663078656000 689601802240 722096128000 862002252800 971270144000 1060925849600 1077502816000 1103362883584 1326157312000 1379203604480 1724004505600 1942540288000 2121851699200 2155005632000 2652314624000 2758407208960 3448009011200 4310011264000 5304629248000 5516814417920 6896018022400 8620022528000 10609258496000 13792036044800 17240045056000 27584072089600 34480090112000 68960180224000 137920360448000
- Sum of all divisors σ(n): 377924348168640
- Sum of proper divisors (its aliquot sum) s(n): 240003987720640
- 137920360448000 is an abundant number, because the sum of its proper divisors (240003987720640) is greater than itself. Its abundance is 102083627272640
Bases of 137920360448000
- Binary: 111110101110000000101100001011110000000000000002
- Hexadecimal: 0x7D7016178000
- Base-36: 1CVZQLM1VK
Squares and roots of 137920360448000
- 137920360448000 squared (1379203604480002) is 19022025826106242760704000000
- 137920360448000 cubed (1379203604480003) is 2623524658387737969899286290235392000000000
-
The
square root of 137920360448000 is 11743949.9508470317 -
The
cube root of 137920360448000 is 51666.5498070937
Scales and comparisons
How big is 137920360448000?- 137,920,360,448,000 seconds is equal to 4,385,440 years, 44 weeks, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 137,920,360,448,000 would take you about ten million, nine hundred sixty-three thousand, six hundred 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 137920360448000 cubic inches would be around 4305.5 feet tall.
Recreational maths with 137920360448000
- 137920360448000 backwards is 000844063029731
- The number of decimal digits it has is: 15
- The sum of 137920360448000's digits is 47
- More coming soon!
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The information we have on file for 137920360448000 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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