137138738688000
137,138,738,688,000 is an even composite number composed of seven prime numbers multiplied together.
137138738688000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand, two hundred forty divisors.
Prime factorization of 137138738688000:
212 × 34 × 53 × 7 × 19 × 232 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 19 × 23 × 23 × 47)See below for interesting mathematical facts about the number 137138738688000 from the Numbermatics database.
Names of 137138738688000
- Cardinal: 137138738688000 can be written as One hundred thirty-seven trillion, one hundred thirty-eight billion, seven hundred thirty-eight million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.37138738688 × 1014
Factors of 137138738688000
Divisors of 137138738688000
- Number of divisors d(n): 6240
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 23 24 25 27 28 30 32 35 36 38 40 42 45 46 47 48 50 54 56 57 60 63 64 69 70 72 75 76 80 81 84 90 92 94 95 96 100 105 108 112 114 115 120 125 126 128 133 135 138 140 141 144 150 152 160 161 162 168 171 175 180 184 188 189 190 192 200 207 210 216 224 225 228 230 235 240 250 252 256 266 270 276 280 282 285 288 300 304 315 320 322 324 329 336 342 345 350 360 368 375 376 378 380 384 399 400 405 414 420 423 432 437 448 450 456 460 470 475 480 483 500 504 512 513 525 529 532 540 552 560 564 567 570 575 576 600 608 621 630 640 644 648 658 665 672 675 684 690 700 705 720 736 750 752 756 760 768 798 800 805 810 828 840 846 855 864 874 875 893 896 900 912 920 940 945 950 960 966 987 1000 1008 1024 1026 1035 1050 1058 1064 1080 1081 1104 1120 1125 1128 1134 1140 1150 1152 1175 1197 1200 1216 1242 1260 1269 1280 1288 1296 1311 1316 1330 1344 1350 1368 1380 1400 1410 1425 1440 1449 1472 1500 1504 1512 1520 1536 1539 1575 1587 1596 1600 1610 1620 1645 1656 1680 1692 1710 1725 1728 1748 1750 1786 1792 1800 1824 1840 1863 1880 1890 1900 1920 1932 1974 1995 2000 2016 2025 2048 2052 2070 2100 2115 2116 2128 2160 2162 2185 2208 2240 2250 2256 2268 2280 2300 2304 2350 2375 2394 2400 2415 2432 2484 2520 2538 2560 2565 2576 2592 2622 2625 2632 2645 2660 2679 2688 2700 2736 2760 2800 2820 2835 2850 2875 2880 2898 2944 2961 3000 3008 3024 3040 3059 3072 3078 3105 3150 3174 3192 3200 3220 3240 3243 3290 3312 3325 3360 3375 3384 3420 3450 3456 3496 3500 3525 3572 3584 3591 3600 3648 3680 3703 3726 3760 3780 3800 3807 3840 3864 3933 3948 3990 4000 4025 4032 4050 4096 4104 4140 4200 4230 4232 4256 4275 4320 4324 4347 4370 4416 4465 4480 4500 4512 4536 4560 4600 4608 4700 4725 4750 4761 4788 4800 4830 4864 4935 4968 5040 5076 5120 5130 5152 5175 5184 5244 5250 5264 5290 5320 5358 5376 5400 5405 5472 5520 5600 5640 5670 5700 5750 5760 5796 5875 5888 5922 5985 6000 6016 6048 6080 6118 6144 6156 6210 6251 6300 6345 6348 6384 6400 6440 6480 6486 6555 6580 6624 6650 6720 6750 6768 6840 6900 6912 6992 7000 7050 7125 7144 7168 7182 7200 7245 7296 7360 7406 7452 7520 7560 7567 7600 7614 7680 7695 7728 7866 7875 7896 7935 7980 8000 8037 8050 8064 8100 8208 8225 8280 8400 8460 8464 8512 8550 8625 8640 8648 8694 8740 8832 8883 8930 8960 9000 9024 9072 9120 9177 9200 9216 9315 9400 9450 9500 9522 9576 9600 9660 9728 9729 9870 9936 9975 10051 10080 10125 10152 10240 10260 10304 10350 10368 10488 10500 10528 10575 10580 10640 10716 10752 10773 10800 10810 10925 10944 11040 11109 11200 11280 11340 11400 11500 11520 11592 11750 11776 11799 11844 11970 12000 12032 12075 12096 12160 12236 12288 12312 12420 12502 12600 12690 12696 12768 12800 12825 12880 12960 12972 13041 13110 13160 13225 13248 13300 13395 13440 13500 13536 13680 13800 13824 13984 14000 14100 14175 14250 14283 14288 14336 14364 14400 14490 14592 14720 14805 14812 14904 15040 15120 15134 15200 15228 15295 15360 15390 15456 15525 15732 15750 15792 15870 15960 16000 16074 16100 16128 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2448906048000 2539606272000 2742774773760 2857057056000 2917845504000 2981276928000 3047527526400 3265208064000 3428468467200 3608914176000 3809409408000 3918249676800 4285585584000 4571291289600 4897812096000 5079212544000 5485549547520 5714114112000 5962553856000 6530416128000 6856936934400 7217828352000 7618818816000 8571171168000 9142582579200 9795624192000 11428228224000 13713873868800 15237637632000 17142342336000 19591248384000 22856456448000 27427747737600 34284684672000 45712912896000 68569369344000 137138738688000
- Sum of all divisors σ(n): 656648937584640
- Sum of proper divisors (its aliquot sum) s(n): 519510198896640
- 137138738688000 is an abundant number, because the sum of its proper divisors (519510198896640) is greater than itself. Its abundance is 382371460208640
Bases of 137138738688000
- Binary: 111110010111010000110011100110111110000000000002
- Hexadecimal: 0x7CBA19CDF000
- Base-36: 1CM0O07400
Squares and roots of 137138738688000
- 137138738688000 squared (1371387386880002) is 18807033648935547961344000000
- 137138738688000 cubed (1371387386880003) is 2579172873077795241224845941276672000000000
-
The
square root of 137138738688000 is 11710625.0340449377 -
The
cube root of 137138738688000 is 51568.7633550399
Scales and comparisons
How big is 137138738688000?- 137,138,738,688,000 seconds is equal to 4,360,587 years, 36 weeks.
-
To count from 1 to 137,138,738,688,000 would take you about ten million, nine hundred one thousand, four hundred sixty-nine 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 137138738688000 cubic inches would be around 4297.4 feet tall.
Recreational maths with 137138738688000
- 137138738688000 backwards is 000886837831731
- 137138738688000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137138738688000's digits is 63
- More coming soon!
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"Number 137138738688000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 137138738688000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/137138738688000/
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The information we have on file for 137138738688000 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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