385368465643200
385,368,465,643,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 385368465643200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2268 divisors.
385368465643200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 385368465643200:
26 × 32 × 52 × 13 × 292 × 31 × 2812
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 29 × 29 × 31 × 281 × 281)See below for interesting mathematical facts about the number 385368465643200 from the Numbermatics database.
Names of 385368465643200
- Cardinal: 385368465643200 can be written as Three hundred eighty-five trillion, three hundred sixty-eight billion, four hundred sixty-five million, six hundred forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 3.853684656432 × 1014
Factors of 385368465643200
Divisors of 385368465643200
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 29 30 31 32 36 39 40 45 48 50 52 58 60 62 64 65 72 75 78 80 87 90 93 96 100 104 116 117 120 124 130 144 145 150 155 156 160 174 180 186 192 195 200 208 225 232 234 240 248 260 261 279 281 288 290 300 310 312 320 325 348 360 372 377 390 400 403 416 435 450 464 465 468 480 496 520 522 558 562 576 580 585 600 620 624 650 696 720 725 744 754 775 780 800 806 832 841 843 870 899 900 928 930 936 960 975 992 1040 1044 1116 1124 1131 1160 1170 1200 1209 1240 1248 1300 1305 1392 1395 1405 1440 1450 1488 1508 1550 1560 1600 1612 1682 1686 1740 1798 1800 1856 1860 1872 1885 1950 1984 2015 2080 2088 2175 2232 2248 2262 2320 2325 2340 2400 2418 2480 2496 2523 2529 2600 2610 2697 2784 2790 2810 2880 2900 2925 2976 3016 3100 3120 3224 3364 3372 3393 3480 3596 3600 3627 3653 3720 3744 3770 3900 4030 4160 4176 4205 4215 4350 4464 4495 4496 4524 4640 4650 4680 4800 4836 4960 5046 5058 5200 5220 5394 5568 5580 5620 5655 5800 5850 5952 6032 6045 6200 6240 6448 6525 6728 6744 6786 6960 6975 7025 7192 7200 7254 7306 7440 7488 7540 7569 7800 8060 8091 8149 8352 8410 8430 8700 8711 8928 8990 8992 9048 9280 9300 9360 9425 9672 9920 10075 10092 10116 10400 10440 10788 10933 10959 11160 11240 11310 11600 11687 11700 12064 12090 12400 12480 12615 12645 12896 13050 13456 13485 13488 13572 13920 13950 14050 14384 14400 14508 14612 14880 15080 15138 15600 16120 16182 16298 16704 16820 16860 16965 17400 17422 17856 17980 17984 18096 18135 18265 18600 18720 18850 19344 20150 20184 20232 20800 20880 21025 21075 21576 21866 21918 22320 22475 22480 22620 23200 23374 23400 24128 24180 24447 24800 25230 25290 25792 26071 26100 26133 26912 26970 26976 27144 27840 27900 28100 28275 28768 29016 29224 29760 30160 30225 30276 31200 32240 32364 32596 32799 32877 33640 33720 33930 34800 34844 35061 35960 36192 36270 36530 37200 37440 37700 37845 38688 40300 40368 40455 40464 40745 41760 42050 42150 43152 43555 43732 43836 44640 44950 44960 45240 46400 46748 46800 48360 48894 49600 50460 50580 52142 52200 52266 53824 53940 53952 54288 54665 54795 55800 56200 56550 57536 58032 58435 58448 60320 60450 60552 62400 63075 63225 64480 64728 65192 65598 65754 67280 67425 67440 67860 69600 69688 70122 71920 72384 72540 73060 73341 74400 75400 75690 77376 78213 78399 78961 80600 80736 80910 80928 81490 83520 84100 84300 84825 86304 87110 87464 87672 89280 89900 89920 90480 90675 91325 93496 93600 96720 97788 98397 100920 101160 104284 104400 104532 105183 105937 107880 108576 109330 109590 111600 112400 113100 113243 116064 116870 116896 120640 120900 121104 122235 126150 126450 128960 129456 130355 130384 130665 131196 131508 134560 134850 134880 135720 139200 139376 140244 143840 145080 146120 146682 148800 150800 151380 156426 156798 157922 161200 161472 161820 161856 162980 163995 164385 168200 168600 169650 172608 174220 174928 175305 175344 179800 180960 181350 182650 186992 187200 189225 193440 195576 196794 201840 202275 202320 203725 208568 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73825376560 74109320316 76189890400 76371079200 77695255170 79687441200 80285097009 82343689240 82874938848 83053548630 85183126800 85713626700 85732695360 86328061300 88590451872 91427868480 91645295040 92281720700 92636650395 95624929440 98812427088 102219752160 102929611550 103593673560 105493694400 106249921600 107046796012 107165869200 110738064840 113577502400 114284835600 114556618800 119531161800 123515533860 124312408272 127774690200 129492091950 131749902784 132885677808 133808495015 137141802720 138124898080 138422581050 142887825600 147650753120 148218640632 152379780800 152742158400 154394417325 155390510340 159374882400 160570194018 164687378480 165749877696 166107097260 170366253600 171427253400 172656122600 177180903744 184563441400 185273300790 191249858880 194238137925 197624854176 204439504320 205859223100 207187347120 207633871575 214093592024 214331738400 221476129680 228569671200 229113237600 239062323600 240855291027 247031067720 248624816544 255549380400 258984183900 265771355616 267616990030 274283605440 276249796160 276845162100 295301506240 296437281264 308788834650 310781020680 318749764800 321140388036 329374756960 332214194520 340732507200 342854506800 345312245200 369126882800 370546601580 388476275850 395249708352 401425485045 411718446200 414374694240 415267743150 428187184048 428663476800 442952259360 457139342400 458226475200 463183251975 478124647200 481710582054 494062135440 497249633088 511098760800 517968367800 531542711232 535233980060 553690324200 592874562528 617577669300 621562041360 642280776072 658749513920 664428389040 669042475075 685709013600 690624490400 738253765600 741093203160 776952551700 802850970090 823436892400 828749388480 830535486300 856374368096 885904518720 926366503950 956249294400 963421164108 988124270880 1022197521600 1035936735600 1070467960120 1107380648400 1185749125056 1204276455135 1235155338600 1243124082720 1284561552144 1328856778080 1338084950150 1371418027200 1381248980800 1476507531200 1482186406320 1553905103400 1605701940180 1646873784800 1661070972600 1712748736192 1852733007900 1926842328216 1976248541760 2007127425225 2071873471200 2140935920240 2214761296800 2408552910270 2470310677200 2486248165440 2569123104288 2657713556160 2676169900300 2964372812640 3107810206800 3211403880360 3293747569600 3322141945200 3705466015800 3853684656432 4014254850450 4143746942400 4281871840480 4429522593600 4817105820540 4940621354400 5138246208576 5352339800600 5928745625280 6021382275675 6215620413600 6422807760720 6644283890400 7410932031600 7707369312864 8028509700900 8563743680960 9634211641080 9881242708800 10704679601200 12042764551350 12431240827200 12845615521440 13288567780800 14821864063200 15414738625728 16057019401800 19268423282160 21409359202400 24085529102700 25691231042880 29643728126400 32114038803600 38536846564320 42818718404800 48171058205400 64228077607200 77073693128640 96342116410800 128456155214400 192684232821600 385368465643200
- Sum of all divisors σ(n): 1582580626454464
- Sum of proper divisors (its aliquot sum) s(n): 1197212160811264
- 385368465643200 is an abundant number, because the sum of its proper divisors (1197212160811264) is greater than itself. Its abundance is 811843695168064
Bases of 385368465643200
- Binary: 10101111001111101100101101000000010010110110000002
- Hexadecimal: 0x15E7D968096C0
- Base-36: 3SLNTUIWG0
Squares and roots of 385368465643200
- 385368465643200 squared (3853684656432002) is 148508854312194218789706240000
- 385368465643200 cubed (3853684656432003) is 57230629320719811970466573035260653568000000
-
The
square root of 385368465643200 is 19630803.9988992811 -
The
cube root of 385368465643200 is 72771.0639567917
Scales and comparisons
How big is 385368465643200?- 385,368,465,643,200 seconds is equal to 12,253,525 years, 9 weeks, 4 days, 4 hours.
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To count from 1 to 385,368,465,643,200 would take you about thirty million, six hundred thirty-three thousand, eight hundred twelve 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 385368465643200 cubic inches would be around 6064.3 feet tall.
Recreational maths with 385368465643200
- 385368465643200 backwards is 002346564863583
- The number of decimal digits it has is: 15
- The sum of 385368465643200's digits is 63
- More coming soon!
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The information we have on file for 385368465643200 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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