1138017341755057920
1,138,017,341,755,057,920 is an even composite number composed of seven prime numbers multiplied together.
1138017341755057920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 1138017341755057920:
28 × 3 × 5 × 13 × 19 × 31 × 38704281409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 19 × 31 × 38704281409)See below for interesting mathematical facts about the number 1138017341755057920 from the Numbermatics database.
Names of 1138017341755057920
- Cardinal: 1138017341755057920 can be written as One quintillion, one hundred thirty-eight quadrillion, seventeen trillion, three hundred forty-one billion, seven hundred fifty-five million, fifty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.13801734175505792 × 1018
Factors of 1138017341755057920
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 38704281482
Divisors of 1138017341755057920
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 31 32 38 39 40 48 52 57 60 62 64 65 76 78 80 93 95 96 104 114 120 124 128 130 152 155 156 160 186 190 192 195 208 228 240 247 248 256 260 285 304 310 312 320 372 380 384 390 403 416 456 465 480 494 496 520 570 589 608 620 624 640 741 744 760 768 780 806 832 912 930 960 988 992 1040 1140 1178 1209 1216 1235 1240 1248 1280 1482 1488 1520 1560 1612 1664 1767 1824 1860 1920 1976 1984 2015 2080 2280 2356 2418 2432 2470 2480 2496 2945 2964 2976 3040 3120 3224 3328 3534 3648 3705 3720 3840 3952 3968 4030 4160 4560 4712 4836 4864 4940 4960 4992 5890 5928 5952 6045 6080 6240 6448 7068 7296 7410 7440 7657 7904 7936 8060 8320 8835 9120 9424 9672 9880 9920 9984 11780 11856 11904 12090 12160 12480 12896 14136 14592 14820 14880 15314 15808 16120 16640 17670 18240 18848 19344 19760 19840 22971 23560 23712 23808 24180 24320 24960 25792 28272 29640 29760 30628 31616 32240 35340 36480 37696 38285 38688 39520 39680 45942 47120 47424 48360 49920 51584 56544 59280 59520 61256 63232 64480 70680 72960 75392 76570 77376 79040 91884 94240 94848 96720 103168 113088 114855 118560 119040 122512 128960 141360 150784 153140 154752 158080 183768 188480 189696 193440 226176 229710 237120 245024 257920 282720 306280 309504 316160 367536 376960 386880 452352 459420 474240 490048 515840 565440 612560 735072 753920 773760 918840 948480 980096 1130880 1225120 1470144 1547520 1837680 1960192 2261760 2450240 2940288 3675360 4900480 5880576 7350720 9800960 14701440 29402880 38704281409 77408562818 116112844227 154817125636 193521407045 232225688454 309634251272 387042814090 464451376908 503155658317 580564221135 619268502544 735381346771 774085628180 928902753816 1006311316634 1161128442270 1199832723679 1238537005088 1470762693542 1509466974951 1548171256360 1857805507632 2012622633268 2206144040313 2322256884540 2399665447358 2477074010176 2515778291585 2941525387084 3018933949902 3096342512720 3599498171037 3676906733855 3715611015264 4025245266536 4412288080626 4644513769080 4799330894716 4954148020352 5031556583170 5883050774168 5999163618395 6037867899804 6192685025440 7198996342074 7353813467710 7431222030528 7547334874755 8050490533072 8824576161252 9289027538160 9559957508023 9598661789432 9908296040704 10063113166340 11030720201565 11766101548336 11998327236790 12075735799608 12385370050880 14397992684148 14707626935420 14862444061056 15094669749510 15597825407827 16100981066144 17649152322504 17997490855185 18578055076320 19119915016046 19197323578864 20126226332680 22061440403130 22796821749901 23532203096672 23996654473580 24151471599216 24770740101760 28679872524069 28795985368296 29415253870840 29724888122112 30189339499020 31195650815654 32201962132288 35298304645008 35994981710370 37156110152640 38239830032092 38394647157728 40252452665360 44122880806260 45593643499802 46793476223481 47064406193344 47799787540115 47993308947160 48302943198432 49541480203520 57359745048138 57591970736592 58830507741680 60378678998040 62391301631308 64403924264576 68390465249703 70596609290016 71989963420740 74312220305280 76479660064184 76789294315456 77989127039135 80504905330720 88245761612520 91187286999604 93586952446962 94128812386688 95599575080230 95986617894320 96605886396864 113984108749505 114719490096276 115183941473184 117661015483360 120757357996080 124782603262616 128807848529152 136780930499406 141193218580032 143399362620345 143979926841480 148624440610560 152959320128368 153578588630912 155978254078270 161009810661440 176491523225040 182374573999208 187173904893924 188257624773376 191199150160460 191973235788640 193211772793728 227968217499010 229438980192552 230367882946368 233967381117405 235322030966720 241514715992160 249565206525232 273561860998812 282386437160064 286798725240690 287959853682960 296358682748713 305918640256736 307157177261824 311956508156540 322019621322880 341952326248515 352983046450080 364749147998416 374347809787848 382398300320920 383946471577280 386423545587456 455936434998020 458877960385104 460735765892736 467934762234810 470644061933440 483029431984320 499130413050464 547123721997624 564772874320128 573597450481380 575919707365920 592717365497426 611837280513472 623913016313080 644039242645760 683904652497030 705966092900160 729498295996832 748695619575696 764796600641840 767892943154560 889076048246139 911872869996040 917755920770208 921471531785472 935869524469620 941288123866880 966058863968640 998260826100928 1094247443995248 1147194900962760 1151839414731840 1185434730994852 1223674561026944 1247826032626160 1367809304994060 1411932185800320 1458996591993664 1481793413743565 1497391239151392 1529593201283680 1535785886309120 1778152096492278 1823745739992080 1835511841540416 1871739048939240 1932117727937280 1996521652201856 2188494887990496 2294389801925520 2303678829463680 2370869461989704 2447349122053888 2495652065252320 2735618609988120 2823864371600640 2917993183987328 2963586827487130 2994782478302784 3059186402567360 3556304192984556 3647491479984160 3671023683080832 3743478097878480 3993043304403712 4376989775980992 4445380241230695 4588779603851040 4607357658927360 4741738923979408 4991304130504640 5471237219976240 5835986367974656 5927173654974260 5989564956605568 6118372805134720 7112608385969112 7294982959968320 7342047366161664 7486956195756960 8753979551961984 8890760482461390 9177559207702080 9483477847958816 9982608261009280 10942474439952480 11854347309948520 11979129913211136 12236745610269440 14225216771938224 14589965919936640 14973912391513920 17507959103923968 17781520964922780 18355118415404160 18966955695917632 19965216522018560 21884948879904960 23708694619897040 28450433543876448 29179931839873280 29947824783027840 35563041929845560 36710236830808320 37933911391835264 43769897759809920 47417389239794080 56900867087752896 59895649566055680 71126083859691120 75867822783670528 87539795519619840 94834778479588160 113801734175505792 142252167719382240 189669556959176320 227603468351011584 284504335438764480 379339113918352640 569008670877528960 1138017341755057920
- Sum of all divisors σ(n): 4253036992621670400
- Sum of proper divisors (its aliquot sum) s(n): 3115019650866612480
- 1138017341755057920 is an abundant number, because the sum of its proper divisors (3115019650866612480) is greater than itself. Its abundance is 1977002309111554560
Bases of 1138017341755057920
- Binary: 1111110010110000110010111110001010111000101101100111000000002
- Hexadecimal: 0xFCB0CBE2B8B6700
- Base-36: 8N9DH9HRXBEO
Squares and roots of 1138017341755057920
- 1138017341755057920 squared (11380173417550579202) is 1295083470135248294408893902554726400
- 1138017341755057920 cubed (11380173417550579203) is 1473827448034231205564697301596369904274156801753088000
-
The
square root of 1138017341755057920 is 1066778956.3705584831 -
The
cube root of 1138017341755057920 is 1044037.9695809763
Scales and comparisons
How big is 1138017341755057920?- 1,138,017,341,755,057,920 seconds is equal to 36,185,431,349 years, 2 weeks, 3 days, 21 hours, 52 minutes.
-
To count from 1 to 1,138,017,341,755,057,920 would take you about one hundred twenty-six billion, six hundred forty-nine million, nine thousand, seven hundred twenty-one 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 1138017341755057920 cubic inches would be around 87003.2 feet tall.
Recreational maths with 1138017341755057920
- 1138017341755057920 backwards is 0297505571437108311
- The number of decimal digits it has is: 19
- The sum of 1138017341755057920's digits is 69
- More coming soon!
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The information we have on file for 1138017341755057920 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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