4048945142037120
4,048,945,142,037,120 is an even composite number composed of eight prime numbers multiplied together.
What does the number 4048945142037120 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
4048945142037120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 4048945142037120:
27 × 33 × 5 × 13 × 29 × 71 × 1093 × 8009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 29 × 71 × 1093 × 8009)See below for interesting mathematical facts about the number 4048945142037120 from the Numbermatics database.
Names of 4048945142037120
- Cardinal: 4048945142037120 can be written as Four quadrillion, forty-eight trillion, nine hundred forty-five billion, one hundred forty-two million, thirty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.04894514203712 × 1015
Factors of 4048945142037120
Divisors of 4048945142037120
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 29 30 32 36 39 40 45 48 52 54 58 60 64 65 71 72 78 80 87 90 96 104 108 116 117 120 128 130 135 142 144 145 156 160 174 180 192 195 208 213 216 232 234 240 260 261 270 284 288 290 312 320 348 351 355 360 377 384 390 416 426 432 435 464 468 480 520 522 540 568 576 580 585 624 639 640 696 702 710 720 754 780 783 832 852 864 870 923 928 936 960 1040 1044 1065 1080 1093 1131 1136 1152 1160 1170 1248 1278 1305 1392 1404 1420 1440 1508 1560 1566 1664 1704 1728 1740 1755 1846 1856 1872 1885 1917 1920 2059 2080 2088 2130 2160 2186 2262 2272 2320 2340 2496 2556 2610 2769 2784 2808 2840 2880 3016 3120 3132 3195 3279 3393 3408 3456 3480 3510 3692 3712 3744 3770 3834 3915 4118 4160 4176 4260 4320 4372 4524 4544 4615 4640 4680 4992 5112 5220 5465 5538 5568 5616 5655 5680 5760 6032 6177 6240 6264 6390 6558 6786 6816 6960 7020 7384 7488 7540 7668 7830 8009 8236 8307 8320 8352 8520 8640 8744 9048 9088 9230 9280 9360 9585 9837 10179 10224 10295 10440 10930 11076 11136 11232 11310 11360 12064 12354 12480 12528 12780 13116 13572 13632 13845 13920 14040 14209 14768 14976 15080 15336 15660 16018 16395 16472 16614 16704 16965 17040 17280 17488 18096 18460 18531 18560 18720 19170 19674 20358 20448 20590 20880 21860 22152 22464 22620 22720 24027 24128 24708 24921 24960 25056 25560 26232 26767 27144 27264 27690 27840 28080 28418 29511 29536 30160 30672 30885 31320 31697 32036 32790 32944 33228 33408 33930 34080 34976 36192 36920 37062 37440 38340 39348 40045 40716 40896 41180 41535 41760 42627 43720 44304 44928 45240 45440 48054 48256 49185 49416 49842 50112 50895 51120 52464 53534 54288 55380 55593 55680 56160 56836 59022 59072 60320 61344 61770 62640 63394 64072 65580 65888 66456 67860 68160 69952 71045 72081 72384 73840 74124 74880 76680 77603 78696 80090 80301 81432 81792 82360 83070 83520 85254 87440 88608 90480 92655 95091 96108 98370 98832 99684 100224 101790 102240 104117 104928 107068 108576 110760 111186 112320 113672 118044 118144 120135 120640 122688 123540 124605 125280 126788 127881 128144 131160 131776 132912 133835 135720 136320 139904 142090 144162 144768 147555 147680 148248 153360 155206 157392 158485 160180 160602 162864 164720 166140 167040 170508 174880 177216 180960 185310 190182 192216 196740 197664 199368 203580 204480 208234 209856 213135 214136 216243 217152 221520 222372 224640 227344 232261 232809 236088 240270 240903 241280 245376 247080 249210 250560 253576 255762 256288 262320 263552 265824 267670 271440 277965 284180 285273 288324 295110 295360 296496 306720 310412 312351 314784 316970 320360 321204 325728 329440 332280 341016 349760 354432 360405 361920 370620 380364 383643 384432 388015 393480 395328 398736 401505 407160 408960 412061 416468 419712 426270 428272 432486 434304 443040 444744 454688 464522 465618 472176 475455 480540 481806 494160 498420 501120 507152 511524 512576 520585 524640 531648 535340 542880 555930 568360 568639 570546 576648 590220 590720 592992 613440 620824 624702 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1946608241364 1966461943680 2108825594811 2112125791360 2147981507712 2162898045960 2181543718770 2193361398720 2307091249024 2326979966688 2343139549790 2376141515280 2433260301705 2585533296320 2595477655152 2684976884640 2811767459748 2851369818336 2883864061280 2908724958360 3102639955584 3168188687040 3244347068940 3460636873536 3490469950032 3514709324685 3564212272920 3579969179520 3704432883840 3749023279664 3801826424448 3878299944480 3893216482728 4217651189622 4325796091920 4363087437540 4386722797440 4653959933376 4686279099580 4752283030560 4866520603410 5171066592640 5190955310304 5369953769280 5623534919496 5702739636672 5767728122560 5817449916720 6326476784433 6336377374080 6488694137880 6921273747072 6980939900064 7029418649370 7128424545840 7498046559328 7756599888960 7786432965456 8435302379244 8651592183840 8726174875080 9307919866752 9372558199160 9504566061120 9733041206820 10381910620608 10544127974055 10739907538560 11247069838992 11405479273344 11535456245120 11634899833440 12652953568866 12977388275760 13961879800128 14058837298740 14256849091680 14996093118656 15513199777920 15572865930912 16870604758488 17303184367680 17452349750160 18745116398320 19009132122240 19466082413640 20763821241216 21088255948110 22494139677984 23269799666880 25305907137732 25954776551520 27923759600256 28117674597480 28513698183360 29992186237312 31145731861824 31632383922165 33741209516976 34606368735360 34904699500320 37490232796640 38932164827280 42176511896220 44988279355968 46539599333760 50611814275464 51909553103040 56235349194960 57027396366720 62291463723648 63264767844330 67482419033952 69809399000640 74980465593280 77864329654560 84353023792440 89976558711936 101223628550928 103819106206080 112470698389920 126529535688660 134964838067904 139618798001280 149960931186560 155728659309120 168706047584880 202447257101856 224941396779840 253059071377320 269929676135808 311457318618240 337412095169760 404894514203712 449882793559680 506118142754640 674824190339520 809789028407424 1012236285509280 1349648380679040 2024472571018560 4048945142037120
- Sum of all divisors σ(n): 16217467902720000
- Sum of proper divisors (its aliquot sum) s(n): 12168522760682880
- 4048945142037120 is an abundant number, because the sum of its proper divisors (12168522760682880) is greater than itself. Its abundance is 8119577618645760
Bases of 4048945142037120
- Binary: 11100110001001111110100000001110011111111010100000002
- Hexadecimal: 0xE627E80E7FA80
- Base-36: 13V8BPWWIO0
Squares and roots of 4048945142037120
- 4048945142037120 squared (40489451420371202) is 16393956763225993851343457894400
- 4048945142037120 cubed (40489451420371203) is 66378231595230475727569912906774298161840128000
-
The
square root of 4048945142037120 is 63631322.0201900253 -
The
cube root of 4048945142037120 is 159384.9452392637
Scales and comparisons
How big is 4048945142037120?- 4,048,945,142,037,120 seconds is equal to 128,743,931 years, 15 weeks, 6 days, 19 hours, 12 minutes.
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To count from 1 to 4,048,945,142,037,120 would take you about three hundred eighty-six million, two hundred thirty-one thousand, seven hundred ninety-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 4048945142037120 cubic inches would be around 13282.1 feet tall.
Recreational maths with 4048945142037120
- 4048945142037120 backwards is 0217302415498404
- 4048945142037120 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 4048945142037120's digits is 54
- More coming soon!
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The information we have on file for 4048945142037120 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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