137968848000
137,968,848,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137968848000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
137968848000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 137968848000:
27 × 32 × 53 × 312 × 997
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 997)See below for interesting mathematical facts about the number 137968848000 from the Numbermatics database.
Names of 137968848000
- Cardinal: 137968848000 can be written as One hundred thirty-seven billion, nine hundred sixty-eight million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.37968848 × 1011
Factors of 137968848000
Divisors of 137968848000
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 125 128 144 150 155 160 180 186 192 200 225 240 248 250 279 288 300 310 320 360 372 375 384 400 450 465 480 496 500 558 576 600 620 640 720 744 750 775 800 900 930 960 961 992 997 1000 1116 1125 1152 1200 1240 1395 1440 1488 1500 1550 1600 1800 1860 1920 1922 1984 1994 2000 2232 2250 2325 2400 2480 2790 2880 2883 2976 2991 3000 3100 3200 3600 3720 3844 3875 3968 3988 4000 4464 4500 4650 4800 4805 4960 4985 5580 5760 5766 5952 5982 6000 6200 6975 7200 7440 7688 7750 7976 8000 8649 8928 8973 9000 9300 9600 9610 9920 9970 11160 11532 11625 11904 11964 12000 12400 13950 14400 14415 14880 14955 15376 15500 15952 16000 17298 17856 17946 18000 18600 19220 19840 19940 22320 23064 23250 23928 24000 24025 24800 24925 27900 28800 28830 29760 29910 30752 30907 31000 31904 34596 34875 35712 35892 36000 37200 38440 39880 43245 44640 44865 46128 46500 47856 48000 48050 49600 49850 55800 57660 59520 59820 61504 61814 62000 63808 69192 69750 71784 72000 72075 74400 74775 76880 79760 86490 89280 89730 92256 92721 93000 95712 96100 99200 99700 111600 115320 119640 120125 123008 123628 124000 124625 127616 138384 139500 143568 144000 144150 148800 149550 153760 154535 159520 172980 178560 179460 184512 185442 186000 191424 192200 199400 216225 223200 224325 230640 239280 240250 247256 248000 249250 276768 278163 279000 287136 288300 297600 299100 307520 309070 319040 345960 358920 360375 369024 370884 372000 373875 382848 384400 398800 432450 446400 448650 461280 463605 478560 480500 494512 496000 498500 553536 556326 558000 574272 576600 598200 615040 618140 638080 691920 717840 720750 741768 744000 747750 768800 772675 797600 864900 892800 897300 922560 927210 957120 958117 961000 989024 997000 1081125 1107072 1112652 1116000 1121625 1148544 1153200 1196400 1236280 1383840 1390815 1435680 1441500 1483536 1488000 1495500 1537600 1545350 1595200 1729800 1794600 1845120 1854420 1914240 1916234 1922000 1978048 1994000 2162250 2225304 2232000 2243250 2306400 2318025 2392800 2472560 2767680 2781630 2871360 2874351 2883000 2967072 2991000 3075200 3090700 3190400 3459600 3589200 3708840 3832468 3844000 3863375 3956096 3988000 4324500 4450608 4464000 4486500 4612800 4636050 4785600 4790585 4945120 5535360 5563260 5742720 5748702 5766000 5934144 5982000 6181400 6919200 6954075 7178400 7417680 7664936 7688000 7726750 7976000 8623053 8649000 8901216 8973000 9225600 9272100 9571200 9581170 9890240 11126520 11497404 11532000 11590125 11868288 11964000 12362800 13838400 13908150 14356800 14371755 14835360 15329872 15376000 15453500 15952000 17246106 17298000 17802432 17946000 18544200 19162340 19780480 22253040 22994808 23064000 23180250 23928000 23952925 24725600 27676800 27816300 28713600 28743510 29670720 30659744 30907000 34492212 34596000 34770375 35604864 35892000 37088400 38324680 43115265 44506080 45989616 46128000 46360500 47856000 47905850 49451200 55632600 57487020 59341440 61319488 61814000 68984424 69192000 69540750 71784000 71858775 74176800 76649360 86230530 89012160 91979232 92721000 95811700 98902400 111265200 114974040 119764625 122638976 123628000 137968848 138384000 139081500 143568000 143717550 148353600 153298720 172461060 178024320 183958464 185442000 191623400 215576325 222530400 229948080 239529250 247256000 275937696 278163000 287435100 296707200 306597440 344922120 359293875 367916928 370884000 383246800 431152650 445060800 459896160 479058500 494512000 551875392 556326000 574870200 613194880 689844240 718587750 741768000 766493600 862305300 890121600 919792320 958117000 1077881625 1103750784 1112652000 1149740400 1379688480 1437175500 1483536000 1532987200 1724610600 1839584640 1916234000 2155763250 2225304000 2299480800 2759376960 2874351000 3065974400 3449221200 3832468000 4311526500 4450608000 4598961600 5518753920 5748702000 6898442400 7664936000 8623053000 9197923200 11497404000 13796884800 15329872000 17246106000 22994808000 27593769600 34492212000 45989616000 68984424000 137968848000
- Sum of all divisors σ(n): 512492979960
- Sum of proper divisors (its aliquot sum) s(n): 374524131960
- 137968848000 is an abundant number, because the sum of its proper divisors (374524131960) is greater than itself. Its abundance is 236555283960
Bases of 137968848000
- Binary: 100000000111111001010110001100100000002
- Hexadecimal: 0x201F958C80
- Base-36: 1RDR38G0
Squares and roots of 137968848000
- 137968848000 squared (1379688480002) is 19035403018447104000000
- 137968848000 cubed (1379688480003) is 2626292625670869687816192000000000
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The
square root of 137968848000 is 371441.5808710705 -
The
cube root of 137968848000 is 5167.2603762177
Scales and comparisons
How big is 137968848000?- 137,968,848,000 seconds is equal to 4,386 years, 51 weeks, 16 hours.
-
To count from 1 to 137,968,848,000 would take you about eight thousand, seven hundred seventy-three 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 137968848000 cubic inches would be around 430.6 feet tall.
Recreational maths with 137968848000
- 137968848000 backwards is 000848869731
- The number of decimal digits it has is: 12
- The sum of 137968848000's digits is 54
- More coming soon!
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