38148149473919689516900
38,148,149,473,919,689,516,900 is an even composite number composed of five prime numbers multiplied together.
38148149473919689516900 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred seventy-five divisors.
Prime factorization of 38148149473919689516900:
22 × 52 × 74 × 236 × 1814
(2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 23 × 23 × 23 × 23 × 23 × 23 × 181 × 181 × 181 × 181)See below for interesting mathematical facts about the number 38148149473919689516900 from the Numbermatics database.
Names of 38148149473919689516900
- Cardinal: 38148149473919689516900 can be written as Thirty-eight sextillion, one hundred forty-eight quintillion, one hundred forty-nine quadrillion, four hundred seventy-three trillion, nine hundred nineteen billion, six hundred eighty-nine million, five hundred sixteen thousand, nine hundred.
Scientific notation
- Scientific notation: 3.81481494739196895169 × 1022
Factors of 38148149473919689516900
Divisors of 38148149473919689516900
- Number of divisors d(n): 1575
-
Complete list of divisors:
1 2 4 5 7 10 14 20 23 25 28 35 46 49 50 70 92 98 100 115 140 161 175 181 196 230 245 322 343 350 362 460 490 529 575 644 686 700 724 805 905 980 1058 1127 1150 1225 1267 1372 1610 1715 1810 2116 2254 2300 2401 2450 2534 2645 3220 3430 3620 3703 4025 4163 4508 4525 4802 4900 5068 5290 5635 6335 6860 7406 7889 8050 8326 8575 8869 9050 9604 10580 11270 12005 12167 12670 13225 14812 15778 16100 16652 17150 17738 18100 18515 20815 22540 24010 24334 25340 25921 26450 28175 29141 31556 31675 32761 34300 35476 37030 39445 41630 44345 48020 48668 51842 52900 55223 56350 58282 60025 60835 62083 63350 65522 74060 78890 83260 85169 88690 92575 95749 103684 104075 110446 112700 116564 120050 121670 124166 126700 129605 131044 145705 157780 163805 170338 177380 181447 185150 191498 197225 203987 208150 220892 221725 229327 240100 243340 248332 259210 276115 279841 291410 304175 310415 327610 340676 362894 370300 382996 394450 407974 416300 425845 434581 443450 458654 478745 518420 552230 559682 582820 596183 608350 620830 648025 655220 670243 725788 728525 753503 788900 815948 819025 851690 869162 886900 907235 917308 957490 1019935 1104460 1119364 1146635 1192366 1216700 1241660 1270129 1296050 1340486 1380575 1399205 1427909 1457050 1507006 1552075 1605289 1638050 1703380 1738324 1814470 1914980 1958887 2039870 2129225 2172905 2202227 2293270 2384732 2393725 2540258 2592100 2680972 2761150 2798410 2855818 2914100 2980915 3014012 3104150 3210578 3276100 3351215 3628940 3767515 3917774 4079740 4173281 4258450 4345810 4404454 4536175 4586540 4691701 4787450 5080516 5099675 5274521 5522300 5596820 5711636 5733175 5929741 5961830 6208300 6350645 6421156 6436343 6702430 6996025 7139545 7535030 7835548 8026445 8346562 8516900 8691620 8808908 9072350 9383402 9574900 9794435 9995363 10199350 10549042 10864525 11011135 11237023 11466350 11859482 11923660 12701290 12872686 13404860 13712209 13992050 14279090 14904575 15070060 15415589 16052890 16693124 16756075 17330569 18144700 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156768921977150035 158884420965929569 166348268951844700 172051638173050804 172700457571662575 183272397184336726 187012650188098700 193424512480262084 199209127374279050 206039154598540046 210244035304632700 215064547716313505 223955602824500050 232887576532582580 241780640600327605 261817710263338180 291109470665728225 294341649426485780 301090366802838907 307235068166162150 313537843954300070 317768841931859138 327272137829172725 338492896840458647 345400915143325150 366544794368673452 367927061783107225 398418254748558100 412078309197080092 430129095432627010 447911205649000100 458180992960841815 483561281200655210 515097886496350115 582218941331456450 602180733605677814 614470136332324300 627075687908600140 635537683863718276 654544275658345450 676985793680917294 690801830286650300 721137041094890161 735854123566214450 783844609885750175 794422104829647845 860258190865254020 916361985921683630 967122562401310420 1030195772992700230 1075322738581567525 1112190946761506983 1164437882662912900 1204361467211355628 1208903203001638025 1309088551316690900 1353971587361834588 1442274082189780322 1471708247132428900 1505451834014194535 1567689219771500350 1588844209659295690 1692464484202293235 1832723971843367260 2060391545985400460 2107632567619872349 2150645477163135050 2224381893523013966 2290904964804209075 2369450277883210529 2417806406003276050 2575489432481750575 2884548164379560644 3010903668028389070 3135378439543000700 3177688419318591380 3384928968404586470 3605685205474450805 3972110524148239225 4215265135239744698 4301290954326270100 4448763787046027932 4581809929608418150 4738900555766421058 4835612812006552100 5150978864963501150 5560954733807534915 6021807336056778140 6769857936809172940 7211370410948901610 7527259170070972675 7785336627330548881 7944221048296478450 8430530270479489396 8462322421011466175 9163619859216836300 9477801111532842116 10301957729927002300 10538162838099361745 11121909467615069830 11847251389416052645 14422740821897803220 15054518340141945350 15570673254661097762 15888442096592956900 16586151945182473703 16924644842022932350 18028426027372254025 21076325676198723490 22243818935230139660 23694502778832105290 27804773669037674575 30109036680283890700 31141346509322195524 33172303890364947406 33849289684045864700 36056852054744508050 38926683136652744405 42152651352397446980 47389005557664210580 52690814190496808725 54497356391313842167 55609547338075349150 59236256947080263225 66344607780729894812 72113704109489016100 77853366273305488810 82930759725912368515 105381628380993617450 108994712782627684334 111219094676150698300 118472513894160526450 155706732546610977620 165861519451824737030 194633415683263722025 210763256761987234900 217989425565255368668 236945027788321052900 272486781956569210835 331723038903649474060 381481494739196895169 389266831366527444050 414653798629561842575 544973563913138421670 762962989478393790338 778533662733054888100 829307597259123685150 1089947127826276843340 1362433909782846054175 1525925978956787580676 1658615194518247370300 1907407473695984475845 2724867819565692108350 3814814947391968951690 5449735639131384216700 7629629894783937903380 9537037368479922379225 19074074736959844758450 38148149473919689516900
- Sum of all divisors σ(n): 101523219839611495284205
- Sum of proper divisors (its aliquot sum) s(n): 63375070365691805767305
- 38148149473919689516900 is an abundant number, because the sum of its proper divisors (63375070365691805767305) is greater than itself. Its abundance is 25226920891772116250405
Bases of 38148149473919689516900
- Binary: 10000001010000000011111011000111010011111000101111111101011101100111011001002
- Hexadecimal: 0x81403EC74F8BFD76764
- Base-36: 67MVR705A6JVXPG
Squares and roots of 38148149473919689516900
- 38148149473919689516900 squared (381481494739196895169002) is 1455281308284519084048750547994895755385610000
- 38148149473919689516900 cubed (381481494739196895169003) is 55516288875039234193582575247957569605037530974219982234111809000000
-
38148149473919689516900 is a
perfect square number . Itssquare root is 195315512630 -
The
cube root of 38148149473919689516900 is 33663388.1916358989
Scales and comparisons
How big is 38148149473919689516900?- 38,148,149,473,919,689,516,900 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 38,148,149,473,919,689,516,900 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 38148149473919689516900 cubic inches would be around 2805282.3 feet tall.
Recreational maths with 38148149473919689516900
- 38148149473919689516900 backwards is 00961598691937494184183
- 38148149473919689516900 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 38148149473919689516900's digits is 115
- More coming soon!
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Numbermatics. (2024). Number 38148149473919689516900 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/38148149473919689516900/
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The information we have on file for 38148149473919689516900 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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