137640993408000
137,640,993,408,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137640993408000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3168 divisors.
137640993408000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 137640993408000:
210 × 32 × 53 × 17 × 292 × 61 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 29 × 29 × 61 × 137)See below for interesting mathematical facts about the number 137640993408000 from the Numbermatics database.
Names of 137640993408000
- Cardinal: 137640993408000 can be written as One hundred thirty-seven trillion, six hundred forty billion, nine hundred ninety-three million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.37640993408 × 1014
Factors of 137640993408000
Divisors of 137640993408000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 29 30 32 34 36 40 45 48 50 51 58 60 61 64 68 72 75 80 85 87 90 96 100 102 116 120 122 125 128 136 137 144 145 150 153 160 170 174 180 183 192 200 204 225 232 240 244 250 255 256 261 272 274 288 290 300 305 306 320 340 348 360 366 375 384 400 408 411 425 435 450 464 480 488 493 500 510 512 522 544 548 549 576 580 600 610 612 640 680 685 696 720 725 732 750 765 768 800 816 822 841 850 870 900 915 928 960 976 986 1000 1020 1024 1037 1044 1088 1096 1098 1125 1152 1160 1200 1220 1224 1233 1275 1280 1305 1360 1370 1392 1440 1450 1464 1479 1500 1525 1530 1536 1600 1632 1644 1682 1700 1740 1769 1800 1830 1856 1920 1952 1972 2000 2040 2055 2074 2088 2125 2175 2176 2192 2196 2250 2304 2320 2329 2400 2440 2448 2465 2466 2523 2550 2560 2610 2720 2740 2745 2784 2880 2900 2928 2958 3000 3050 3060 3072 3111 3200 3264 3288 3364 3400 3425 3480 3538 3600 3625 3660 3712 3825 3840 3904 3944 3973 4000 4080 4110 4148 4176 4205 4250 4350 4352 4384 4392 4437 4500 4575 4608 4640 4658 4800 4880 4896 4930 4932 5046 5100 5120 5185 5220 5307 5440 5480 5490 5568 5760 5800 5856 5916 6000 6100 6120 6165 6222 6375 6400 6525 6528 6576 6728 6800 6850 6960 6987 7076 7200 7250 7320 7395 7424 7569 7625 7650 7680 7808 7888 7946 8000 8160 8220 8296 8352 8357 8410 8500 8700 8704 8768 8784 8845 8874 9000 9150 9216 9280 9316 9333 9600 9760 9792 9860 9864 10092 10200 10275 10370 10440 10614 10875 10880 10960 10980 11136 11520 11600 11645 11712 11832 11919 12000 12200 12240 12325 12330 12444 12615 12750 12800 13050 13056 13152 13456 13600 13700 13725 13920 13974 14152 14297 14400 14500 14640 14790 14848 15138 15250 15300 15360 15555 15616 15776 15892 15921 16000 16320 16440 16592 16704 16714 16820 17000 17125 17400 17408 17536 17568 17690 17748 18000 18300 18560 18632 18666 19125 19200 19520 19584 19720 19728 19865 20184 20400 20550 20740 20880 20961 21025 21228 21750 21760 21920 21960 22185 22272 22875 23040 23200 23290 23424 23664 23838 24000 24400 24480 24650 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71688017400 74160018000 75213657600 76467218560 77807232000 79104019200 80965290240 81831744000 83723232000 84338844000 86025620880 89610021750 89961433600 90256389120 91760662272 93063552000 94017072000 94924823040 95584023200 98880024000 100467878400 101206612800 105472025600 107532026100 107953720320 111630976000 112451792000 112820486400 114700827840 118656028800 119480029000 122347549696 125356096000 125584848000 126508266000 131840032000 132729984000 134415032625 134942150400 137640993408 139595328000 141025608000 143376034800 148320036000 150427315200 152934437120 158208038400 161930580480 163663488000 167446464000 168677688000 172051241760 179220043500 179922867200 183521324544 188034144000 189849646080 191168046400 197760048000 200935756800 202413225600 215064052200 224903584000 225640972800 229401655680 237312057600 238960058000 250712192000 251169696000 253016532000 263680064000 268830065250 269884300800 275281986816 279190656000 282051216000 286752069600 296640072000 305868874240 316416076800 323861160960 334892928000 337355376000 344102483520 358440087000 367042649088 376068288000 382336092800 395520096000 404826451200 430128104400 449807168000 451281945600 458803311360 474624115200 477920116000 502339392000 506033064000 527360128000 537660130500 539768601600 550563973632 564102432000 573504139200 593280144000 611737748480 674710752000 688204967040 716880174000 752136576000 764672185600 791040192000 809652902400 860256208800 899614336000 917606622720 949248230400 955840232000 1004678784000 1012066128000 1075320261000 1101127947264 1128204864000 1147008278400 1186560288000 1349421504000 1376409934080 1433760348000 1529344371200 1582080384000 1619305804800 1720512417600 1835213245440 1911680464000 2024132256000 2150640522000 2256409728000 2294016556800 2373120576000 2698843008000 2752819868160 2867520696000 3058688742400 3441024835200 3823360928000 4048264512000 4301281044000 4588033113600 4746241152000 5505639736320 5735041392000 6882049670400 7646721856000 8096529024000 8602562088000 9176066227200 11470082784000 13764099340800 15293443712000 17205124176000 22940165568000 27528198681600 34410248352000 45880331136000 68820496704000 137640993408000
- Sum of all divisors σ(n): 556861546713888
- Sum of proper divisors (its aliquot sum) s(n): 419220553305888
- 137640993408000 is an abundant number, because the sum of its proper divisors (419220553305888) is greater than itself. Its abundance is 281579559897888
Bases of 137640993408000
- Binary: 111110100101111000010101000010011000100000000002
- Hexadecimal: 0x7D2F0A84C400
- Base-36: 1CSFEDOU80
Squares and roots of 137640993408000
- 137640993408000 squared (1376409934080002) is 18945043066341099454464000000
- 137640993408000 cubed (1376409934080003) is 2607614547808531376691351820173312000000000
-
The
square root of 137640993408000 is 11732049.8382848681 -
The
cube root of 137640993408000 is 51631.6415270383
Scales and comparisons
How big is 137640993408000?- 137,640,993,408,000 seconds is equal to 4,376,557 years, 43 weeks, 4 days, 8 hours.
-
To count from 1 to 137,640,993,408,000 would take you about ten million, nine hundred forty-one thousand, three hundred ninety-four 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 137640993408000 cubic inches would be around 4302.6 feet tall.
Recreational maths with 137640993408000
- 137640993408000 backwards is 000804399046731
- The number of decimal digits it has is: 15
- The sum of 137640993408000's digits is 54
- More coming soon!
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"Number 137640993408000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 137640993408000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/137640993408000/
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The information we have on file for 137640993408000 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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