137213947904000
137,213,947,904,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137213947904000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
137213947904000 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 137213947904000:
215 × 53 × 11 × 312 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 31 × 31 × 3169)See below for interesting mathematical facts about the number 137213947904000 from the Numbermatics database.
Names of 137213947904000
- Cardinal: 137213947904000 can be written as One hundred thirty-seven trillion, two hundred thirteen billion, nine hundred forty-seven million, nine hundred four thousand.
Scientific notation
- Scientific notation: 1.37213947904 × 1014
Factors of 137213947904000
Divisors of 137213947904000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 62 64 80 88 100 110 124 125 128 155 160 176 200 220 248 250 256 275 310 320 341 352 400 440 496 500 512 550 620 640 682 704 775 800 880 961 992 1000 1024 1100 1240 1280 1364 1375 1408 1550 1600 1705 1760 1922 1984 2000 2048 2200 2480 2560 2728 2750 2816 3100 3169 3200 3410 3520 3844 3875 3968 4000 4096 4400 4805 4960 5120 5456 5500 5632 6200 6338 6400 6820 7040 7688 7750 7936 8000 8192 8525 8800 9610 9920 10240 10571 10912 11000 11264 12400 12676 12800 13640 14080 15376 15500 15845 15872 16000 16384 17050 17600 19220 19840 20480 21142 21824 22000 22528 24025 24800 25352 25600 27280 28160 30752 31000 31690 31744 32000 32768 34100 34859 35200 38440 39680 40960 42284 42625 43648 44000 45056 48050 49600 50704 51200 52855 54560 56320 61504 62000 63380 63488 64000 68200 69718 70400 76880 79225 79360 81920 84568 85250 87296 88000 90112 96100 98239 99200 101408 102400 105710 109120 112640 120125 123008 124000 126760 126976 128000 136400 139436 140800 153760 158450 158720 163840 169136 170500 174295 174592 176000 180224 192200 196478 198400 202816 204800 211420 218240 225280 240250 246016 248000 253520 253952 256000 264275 272800 278872 281600 307520 316900 317440 338272 341000 348590 349184 352000 360448 384400 392956 396125 396800 405632 409600 422840 436480 450560 480500 491195 492032 496000 507040 507904 512000 528550 545600 557744 563200 615040 633800 634880 676544 682000 697180 698368 704000 768800 785912 792250 793600 811264 819200 845680 871475 872960 901120 961000 982390 984064 992000 1014080 1015808 1024000 1057100 1080629 1091200 1115488 1126400 1230080 1267600 1269760 1321375 1353088 1364000 1394360 1396736 1408000 1537600 1571824 1584500 1587200 1622528 1691360 1742950 1745920 1802240 1922000 1964780 1968128 1984000 2028160 2048000 2114200 2161258 2182400 2230976 2252800 2455975 2460160 2535200 2539520 2642750 2706176 2728000 2788720 2793472 2816000 3045409 3075200 3143648 3169000 3174400 3245056 3382720 3485900 3491840 3844000 3929560 3936256 3968000 4056320 4096000 4228400 4322516 4357375 4364800 4461952 4505600 4911950 4920320 5070400 5079040 5285500 5403145 5412352 5456000 5577440 5586944 5632000 6090818 6150400 6287296 6338000 6348800 6490112 6765440 6971800 6983680 7688000 7859120 7872512 7936000 8112640 8456800 8645032 8714750 8729600 8923904 9011200 9823900 9840640 10140800 10571000 10806290 10824704 10912000 11154880 11173888 11264000 12181636 12279875 12300800 12574592 12676000 12697600 12980224 13530880 13943600 13967360 15227045 15376000 15718240 15745024 15872000 16225280 16913600 17290064 17429500 17459200 17847808 19647800 19681280 20281600 21142000 21612580 21649408 21824000 22309760 22528000 24363272 24559750 24601600 25149184 25352000 25395200 25960448 27015725 27061760 27887200 27934720 30454090 30752000 31436480 31490048 31744000 32450560 33499499 33827200 34580128 34859000 34918400 35695616 39295600 39362560 40563200 42284000 43225160 43298816 43648000 44619520 45056000 48726544 49119500 49203200 50298368 50704000 51920896 54031450 54123520 55774400 55869440 60908180 61504000 62872960 63488000 64901120 66998998 67654400 69160256 69718000 69836800 71391232 76135225 78591200 78725120 81126400 84568000 86450320 86597632 87296000 89239040 97453088 98239000 98406400 100596736 101408000 103841792 108062900 108247040 111548800 121816360 123008000 125745920 126976000 129802240 133997996 135078625 135308800 138320512 139436000 139673600 142782464 152270450 157182400 157450240 162252800 167497495 169136000 172900640 173195264 174592000 178478080 194906176 196478000 196812800 201193472 202816000 216125800 216494080 223097600 243632720 246016000 251491840 259604480 267995992 270157250 270617600 276641024 278872000 279347200 285564928 304540900 314364800 324505600 334994990 338272000 345801280 346390528 349184000 356956160 380676125 389812352 392956000 393625600 402386944 405632000 432251600 432988160 446195200 487265440 492032000 502983680 519208960 535991984 540314500 541235200 553282048 557744000 571129856 609081800 628729600 649011200 669989980 676544000 691602560 698368000 713912320 761352250 779624704 785912000 787251200 804773888 811264000 837487475 864503200 865976320 892390400 974530880 984064000 1005967360 1071983968 1080629000 1082470400 1106564096 1115488000 1142259712 1218163600 1257459200 1298022400 1339979960 1353088000 1383205120 1396736000 1427824640 1522704500 1559249408 1571824000 1609547776 1622528000 1674974950 1729006400 1731952640 1784780800 1949061760 1968128000 2011934720 2143967936 2161258000 2164940800 2213128192 2230976000 2436327200 2514918400 2596044800 2679959920 2706176000 2766410240 2855649280 3045409000 3118498816 3143648000 3219095552 3245056000 3349949900 3458012800 3569561600 3898123520 3936256000 4023869440 4187437375 4287935872 4322516000 4329881600 4426256384 4461952000 4872654400 5029836800 5359919840 5412352000 5532820480 5711298560 6090818000 6236997632 6287296000 6490112000 6699899800 6916025600 7139123200 7796247040 8047738880 8374874750 8575871744 8645032000 8659763200 8852512768 8923904000 9745308800 10059673600 10719839680 10824704000 11065640960 12181636000 12473995264 12574592000 12980224000 13399799600 13832051200 14278246400 15592494080 16095477760 16749749500 17151743488 17290064000 17705025536 17847808000 19490617600 20119347200 21439679360 21649408000 22131281920 24363272000 24947990528 25149184000 26799599200 27664102400 28556492800 31184988160 33499499000 34303486976 34580128000 35410051072 35695616000 38981235200 40238694400 42879358720 43298816000 44262563840 48726544000 49895981056 50298368000 53599198400 55328204800 62369976320 66998998000 68606973952 69160256000 71391232000 77962470400 80477388800 85758717440 88525127680 97453088000 99791962112 100596736000 107198396800 110656409600 124739952640 133997996000 137213947904 138320512000 142782464000 155924940800 171517434880 177050255360 194906176000 201193472000 214396793600 221312819200 249479905280 267995992000 274427895808 276641024000 311849881600 343034869760 389812352000 402386944000 428793587200 442625638400 498959810560 535991984000 548855791616 553282048000 623699763200 686069739520 779624704000 857587174400 885251276800 1071983968000 1097711583232 1106564096000 1247399526400 1372139479040 1559249408000 1715174348800 2143967936000 2213128192000 2494799052800 2744278958080 3118498816000 3430348697600 4287935872000 4426256384000 5488557916160 6236997632000 6860697395200 8575871744000 12473995264000 13721394790400 17151743488000 27442789580800 34303486976000 68606973952000 137213947904000
- Sum of all divisors σ(n): 386178115471200
- Sum of proper divisors (its aliquot sum) s(n): 248964167567200
- 137213947904000 is an abundant number, because the sum of its proper divisors (248964167567200) is greater than itself. Its abundance is 111750219663200
Bases of 137213947904000
- Binary: 111110011001011100111001001111110000000000000002
- Hexadecimal: 0x7CCB9C9F8000
- Base-36: 1CMZ7TTMGW
Squares and roots of 137213947904000
- 137213947904000 squared (1372139479040002) is 18827667499401625993216000000
- 137213947904000 cubed (1372139479040003) is 2583418587416728660206032481419264000000000
-
The
square root of 137213947904000 is 11713835.7468422783 -
The
cube root of 137213947904000 is 51578.1886944519
Scales and comparisons
How big is 137213947904000?- 137,213,947,904,000 seconds is equal to 4,362,979 years, 5 weeks, 6 days, 53 minutes, 20 seconds.
-
To count from 1 to 137,213,947,904,000 would take you about ten million, nine hundred seven thousand, four hundred forty-seven 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 137213947904000 cubic inches would be around 4298.2 feet tall.
Recreational maths with 137213947904000
- 137213947904000 backwards is 000409749312731
- 137213947904000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137213947904000's digits is 50
- More coming soon!
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The information we have on file for 137213947904000 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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