137924638208000
137,924,638,208,000 is an even composite number composed of six prime numbers multiplied together.
137924638208000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 137924638208000:
212 × 53 × 7 × 137 × 257 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 137 × 257 × 1093)See below for interesting mathematical facts about the number 137924638208000 from the Numbermatics database.
Names of 137924638208000
- Cardinal: 137924638208000 can be written as One hundred thirty-seven trillion, nine hundred twenty-four billion, six hundred thirty-eight million, two hundred eight thousand.
Scientific notation
- Scientific notation: 1.37924638208 × 1014
Factors of 137924638208000
Divisors of 137924638208000
- Number of divisors d(n): 832
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 137 140 160 175 200 224 250 256 257 274 280 320 350 400 448 500 512 514 548 560 640 685 700 800 875 896 959 1000 1024 1028 1093 1096 1120 1280 1285 1370 1400 1600 1750 1792 1799 1918 2000 2048 2056 2186 2192 2240 2560 2570 2740 2800 3200 3425 3500 3584 3598 3836 4000 4096 4112 4372 4384 4480 4795 5120 5140 5465 5480 5600 6400 6425 6850 7000 7168 7196 7651 7672 8000 8224 8744 8768 8960 8995 9590 10240 10280 10930 10960 11200 12800 12850 13700 14000 14336 14392 15302 15344 16000 16448 17125 17488 17536 17920 17990 19180 20480 20560 21860 21920 22400 23975 25600 25700 27325 27400 28000 28672 28784 30604 30688 32000 32125 32896 34250 34976 35072 35209 35840 35980 38255 38360 41120 43720 43840 44800 44975 47950 51200 51400 54650 54800 56000 57568 61208 61376 64000 64250 65792 68500 69952 70144 70418 71680 71960 76510 76720 82240 87440 87680 89600 89950 95900 102400 102800 109300 109600 112000 115136 119875 122416 122752 128000 128500 131584 136625 137000 139904 140288 140836 143360 143920 149741 153020 153440 164480 174880 175360 176045 179200 179900 191275 191800 205600 218600 219200 224000 224875 230272 239750 244832 245504 246463 256000 257000 263168 273250 274000 279808 280576 280901 281672 287840 299482 306040 306880 328960 349760 350720 352090 358400 359800 382550 383600 411200 437200 438400 448000 449750 460544 479500 489664 491008 492926 512000 514000 526336 546500 548000 559616 561152 561802 563344 575680 598964 612080 613760 657920 699520 701440 704180 716800 719600 748705 765100 767200 822400 874400 876800 880225 896000 899500 921088 956375 959000 979328 982016 985852 1028000 1048187 1052672 1093000 1096000 1119232 1123604 1126688 1151360 1197928 1224160 1227520 1232315 1315840 1399040 1402880 1404505 1408360 1439200 1497410 1530200 1534400 1644800 1748800 1753600 1760450 1792000 1799000 1842176 1912750 1918000 1958656 1964032 1966307 1971704 2056000 2096374 2186000 2192000 2238464 2247208 2253376 2302720 2395856 2448320 2455040 2464630 2631680 2798080 2805760 2809010 2816720 2878400 2994820 3060400 3068800 3289600 3497600 3507200 3520900 3584000 3598000 3684352 3743525 3825500 3836000 3917312 3928064 3932614 3943408 4112000 4192748 4372000 4384000 4401125 4476928 4494416 4506752 4605440 4791712 4896640 4910080 4929260 5240935 5263360 5596160 5618020 5633440 5756800 5989640 6120800 6137600 6161575 6579200 6995200 7014400 7022525 7041800 7196000 7368704 7487050 7651000 7672000 7834624 7865228 7886816 8224000 8385496 8744000 8768000 8802250 8988832 9013504 9210880 9583424 9793280 9820160 9831535 9858520 10481870 11192320 11236040 11266880 11513600 11979280 12241600 12275200 12323150 13158400 13990400 14028800 14045050 14083600 14392000 14974100 15302000 15344000 15669248 15730456 15773632 16448000 16770992 17488000 17536000 17604500 17977664 18027008 18421760 18717625 19166848 19586560 19640320 19663070 19717040 20963740 22384640 22472080 22533760 23027200 23958560 24483200 24550400 24646300 26204675 26316800 27980800 28090100 28167200 28784000 29948200 30604000 30688000 30807875 31338496 31460912 31547264 32896000 33541984 34976000 35072000 35112625 35209000 35955328 36054016 36843520 37435250 38333696 38483437 39173120 39326140 39434080 41927480 44944160 45067520 46054400 47917120 48966400 49100800 49157675 49292600 52409350 55961600 56180200 56334400 57568000 59896400 61208000 61376000 61615750 62921824 63094528 65792000 67083968 69952000 70144000 70225250 70418000 71910656 72108032 74870500 76667392 76966874 78346240 78652280 78868160 83854960 89888320 90135040 92108800 95834240 97932800 98201600 98315350 98585200 104818700 111923200 112360400 112668800 115136000 119792800 122416000 122752000 123231500 125843648 126189056 131023375 131584000 134167936 139904000 140450500 140836000 143821312 144216064 149741000 153334784 153933748 156692480 157304560 157736320 167709920 179776640 180270080 184217600 191668480 192417185 195865600 196630700 197170400 209637400 224720800 225337600 230272000 239585600 244832000 245504000 245788375 246463000 251687296 252378112 262046750 268335872 269384059 279808000 280901000 281672000 287642624 299482000 306669568 307867496 314609120 315472640 335419840 359553280 360540160 383336960 384834370 391731200 393261400 394340800 419274800 449441600 450675200 460544000 479171200 489664000 491008000 491576750 492926000 503374592 504756224 524093500 536671744 538768118 559616000 561802000 563344000 575285248 598964000 613339136 615734992 629218240 630945280 670839680 719106560 721080320 766673920 769668740 783462400 786522800 788681600 838549600 898883200 901350400 921088000 958342400 962085925 979328000 983153500 985852000 1006749184 1009512448 1048187000 1073343488 1077536236 1123604000 1126688000 1150570496 1197928000 1231469984 1258436480 1261890560 1341679360 1346920295 1438213120 1533347840 1539337480 1573045600 1577363200 1677099200 1797766400 1802700800 1916684800 1924171850 1958656000 1966307000 1971704000 2013498368 2096374000 2146686976 2155072472 2247208000 2253376000 2395856000 2462939968 2516872960 2523781120 2683358720 2693840590 2876426240 3066695680 3078674960 3146091200 3154726400 3354198400 3595532800 3605401600 3833369600 3848343700 3917312000 3932614000 3943408000 4026996736 4192748000 4293373952 4310144944 4494416000 4506752000 4791712000 4810429625 4925879936 5033745920 5047562240 5366717440 5387681180 5752852480 6157349920 6292182400 6309452800 6708396800 6734601475 7191065600 7666739200 7696687400 7865228000 7886816000 8053993472 8385496000 8620289888 8988832000 9013504000 9583424000 9620859250 9851759872 10067491840 10733434880 10775362360 12314699840 12584364800 12618905600 13416793600 13469202950 14382131200 15333478400 15393374800 15730456000 15773632000 16770992000 17240579776 17977664000 18027008000 19166848000 19241718500 19703519744 20134983680 21466869760 21550724720 24629399680 25168729600 25237811200 26833587200 26938405900 28764262400 30786749600 31460912000 31547264000 33541984000 33673007375 34481159552 35955328000 38333696000 38483437000 39407039488 40269967360 43101449440 49258799360 50337459200 53667174400 53876811800 61573499200 62921824000 63094528000 67083968000 67346014750 68962319104 71910656000 76667392000 76966874000 78814078976 86202898880 98517598720 100674918400 107334348800 107753623600 123146998400 125843648000 126189056000 134167936000 134692029500 137924638208 143821312000 153933748000 157628157952 172405797760 197035197440 201349836800 215507247200 246293996800 251687296000 268335872000 269384059000 275849276416 307867496000 344811595520 394070394880 431014494400 492587993600 503374592000 536671744000 538768118000 551698552832 615734992000 689623191040 788140789760 862028988800 985175987200 1006749184000 1077536236000 1103397105664 1231469984000 1379246382080 1724057977600 1970351974400 2155072472000 2462939968000 2758492764160 3448115955200 3940703948800 4310144944000 4925879936000 5516985528320 6896231910400 8620289888000 9851759872000 13792463820800 17240579776000 19703519744000 27584927641600 34481159552000 68962319104000 137924638208000
- Sum of all divisors σ(n): 398169166157568
- Sum of proper divisors (its aliquot sum) s(n): 260244527949568
- 137924638208000 is an abundant number, because the sum of its proper divisors (260244527949568) is greater than itself. Its abundance is 122319889741568
Bases of 137924638208000
- Binary: 111110101110001000101010001000011110000000000002
- Hexadecimal: 0x7D711510F000
- Base-36: 1CW1PCHAM8
Squares and roots of 137924638208000
- 137924638208000 squared (1379246382080002) is 19023205824807693451264000000
- 137924638208000 cubed (1379246382080003) is 2623768780942919350440558080294912000000000
-
The
square root of 137924638208000 is 11744132.0755516027 -
The
cube root of 137924638208000 is 51667.0839675673
Scales and comparisons
How big is 137924638208000?- 137,924,638,208,000 seconds is equal to 4,385,576 years, 45 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 137,924,638,208,000 would take you about ten million, nine hundred sixty-three thousand, nine hundred forty-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 137924638208000 cubic inches would be around 4305.6 feet tall.
Recreational maths with 137924638208000
- 137924638208000 backwards is 000802836429731
- The number of decimal digits it has is: 15
- The sum of 137924638208000's digits is 53
- More coming soon!
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The information we have on file for 137924638208000 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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