138230038252800
138,230,038,252,800 is an even composite number composed of eight prime numbers multiplied together.
138230038252800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138230038252800:
28 × 33 × 52 × 13 × 19 × 29 × 181 × 617
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 19 × 29 × 181 × 617)See below for interesting mathematical facts about the number 138230038252800 from the Numbermatics database.
Names of 138230038252800
- Cardinal: 138230038252800 can be written as One hundred thirty-eight trillion, two hundred thirty billion, thirty-eight million, two hundred fifty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382300382528 × 1014
Factors of 138230038252800
Divisors of 138230038252800
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 29 30 32 36 38 39 40 45 48 50 52 54 57 58 60 64 65 72 75 76 78 80 87 90 95 96 100 104 108 114 116 117 120 128 130 135 144 145 150 152 156 160 171 174 180 181 190 192 195 200 208 216 225 228 232 234 240 247 256 260 261 270 285 288 290 300 304 312 320 325 342 348 351 360 362 377 380 384 390 400 416 432 435 450 456 464 468 475 480 494 513 520 522 540 543 551 570 576 580 585 600 608 617 624 640 650 675 684 696 702 720 724 725 741 754 760 768 780 783 800 832 855 864 870 900 905 912 928 936 950 960 975 988 1026 1040 1044 1080 1086 1102 1131 1140 1152 1160 1170 1200 1216 1234 1235 1248 1280 1300 1305 1350 1368 1392 1404 1425 1440 1448 1450 1482 1508 1520 1560 1566 1600 1629 1653 1664 1710 1728 1740 1755 1800 1810 1824 1851 1856 1872 1885 1900 1920 1950 1976 2052 2080 2088 2160 2172 2175 2204 2223 2262 2280 2304 2320 2340 2353 2400 2432 2468 2470 2496 2565 2600 2610 2700 2715 2736 2755 2784 2808 2850 2880 2896 2900 2925 2964 3016 3040 3085 3120 3132 3200 3258 3306 3328 3393 3420 3439 3456 3480 3510 3600 3620 3648 3702 3705 3712 3744 3770 3800 3840 3900 3915 3952 4104 4160 4176 4275 4320 4344 4350 4408 4446 4524 4525 4560 4640 4680 4706 4800 4864 4887 4936 4940 4959 4992 5130 5200 5220 5249 5400 5430 5472 5510 5553 5568 5616 5655 5700 5760 5792 5800 5850 5928 6032 6080 6170 6175 6240 6264 6400 6516 6525 6612 6669 6786 6840 6878 6912 6960 7020 7059 7163 7200 7240 7296 7404 7410 7424 7488 7540 7600 7800 7830 7904 8021 8145 8208 8265 8320 8352 8550 8640 8688 8700 8775 8816 8892 9048 9050 9120 9255 9280 9360 9412 9425 9600 9774 9872 9880 9918 9984 10179 10260 10317 10400 10440 10498 10800 10860 10944 11020 11106 11115 11136 11232 11310 11400 11520 11584 11600 11700 11723 11765 11856 12064 12160 12340 12350 12480 12528 12825 13032 13050 13224 13338 13572 13575 13680 13756 13775 13920 14040 14118 14326 14400 14480 14592 14808 14820 14877 14976 15080 15200 15425 15600 15660 15747 15808 16042 16290 16416 16530 16640 16659 16704 16965 17100 17195 17280 17376 17400 17550 17632 17784 17893 18096 18100 18240 18510 18525 18560 18720 18824 18850 19200 19548 19575 19744 19760 19836 20358 20520 20634 20800 20880 20996 21177 21489 21600 21720 21888 22040 22212 22230 22272 22464 22620 22800 23168 23200 23400 23446 23530 23712 24063 24128 24320 24435 24680 24700 24795 24960 25056 25650 26064 26100 26245 26448 26676 27144 27150 27360 27512 27550 27765 27840 28080 28236 28275 28652 28800 28960 29616 29640 29754 29952 30160 30400 30850 30951 31200 31320 31494 31616 32084 32580 32832 33060 33318 33345 33408 33930 34200 34390 34560 34752 34800 35100 35169 35264 35295 35568 35786 35815 36192 36200 36480 37020 37050 37120 37440 37648 37700 39096 39150 39488 39520 39672 40105 40716 40725 41040 41268 41325 41600 41760 41992 42354 42978 43200 43440 43776 44080 44424 44460 44707 44928 45240 45600 46275 46336 46400 46800 46892 47060 47241 47424 48126 48256 48870 49360 49400 49590 49920 50112 50895 51300 51585 52128 52200 52490 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28285254400 28419004575 28797924636 29373148800 29536332960 29790956520 30313604880 30548074752 30554827200 31090876800 31358901600 31777020288 31820911200 31997694040 32334511872 33101062800 33228374580 33681783200 34977236400 35307800320 35443599552 35997405795 36376325856 36665792640 36920416200 37238695650 37309052160 37339286400 37892006100 38185093440 38397232848 39381777280 39721275360 39997117550 40194835200 40418139840 40739769600 41535468225 41811868800 42427881600 43196886954 44134750400 44304499440 44807143680 45470407320 45832240800 46636315200 47258132736 47665530432 47731366800 47996541060 48501767808 49227221600 49651594200 50174242560 50522674800 50913457920 51196310464 52961700480 53165399328 53890853120 55380624300 55963578240 56008929600 56838009150 57595849272 58746297600 59072665920 59581913040 59995676325 60627209760 61109654400 62181753600 62717803200 63554040576 63641822400 63995388080 66202125600 66456749160 67363566400 69954472800 70887199104 71994811590 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227352036600 230383397088 236290663680 238327652160 239982705300 242508839040 250871212800 254567289600 255981552320 264808502400 265826996640 269454265600 279817891200 287979246360 291010606848 295363329600 297909565200 303136048800 307177862784 317770202880 319976940400 332283745800 345575095632 354435995520 359974057950 363763258560 366657926400 381850934400 383972328480 393817772800 397212753600 404181398400 425323194624 431968869540 443044994400 454704073200 460766794176 476655304320 479965410600 485017678080 511963104640 529617004800 531653993280 539961086925 559635782400 575958492720 590726659200 595819130400 606272097600 614355725568 639953880800 664567491600 691150191264 708871991040 719948115900 727526517120 763701868800 767944656960 794425507200 808362796800 863937739080 886089988800 909408146400 921533588352 953310608640 959930821200 1023926209280 1063307986560 1079922173850 1151916985440 1181453318400 1191638260800 1212544195200 1279907761600 1329134983200 1382300382528 1439896231800 1455053034240 1535889313920 1588851014400 1727875478160 1772179977600 1818816292800 1843067176704 1919861642400 2126615973120 2159844347700 2303833970880 2383276521600 2425088390400 2559815523200 2658269966400 2764600765056 2879792463600 3071778627840 3455750956320 3544359955200 3637632585600 3839723284800 4319688695400 4607667941760 4766553043200 5119631046400 5316539932800 5529201530112 5759584927200 6911501912640 7275265171200 7679446569600 8639377390800 9215335883520 10633079865600 11519169854400 13823003825280 15358893139200 17278754781600 23038339708800 27646007650560 34557509563200 46076679417600 69115019126400 138230038252800
- Sum of all divisors σ(n): 598662058176000
- Sum of proper divisors (its aliquot sum) s(n): 460432019923200
- 138230038252800 is an abundant number, because the sum of its proper divisors (460432019923200) is greater than itself. Its abundance is 322201981670400
Bases of 138230038252800
- Binary: 111110110111000001100000101001111001101000000002
- Hexadecimal: 0x7DB83053CD00
- Base-36: 1CZY03S5C0
Squares and roots of 138230038252800
- 138230038252800 squared (1382300382528002) is 19107543475370551276707840000
- 138230038252800 cubed (1382300382528003) is 2641236465517510357633948600849661952000000
-
The
square root of 138230038252800 is 11757127.1258245737 -
The
cube root of 138230038252800 is 51705.1905208759
Scales and comparisons
How big is 138230038252800?- 138,230,038,252,800 seconds is equal to 4,395,287 years, 33 weeks, 3 days.
-
To count from 1 to 138,230,038,252,800 would take you about ten million, nine hundred eighty-eight thousand, two hundred nineteen 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 138230038252800 cubic inches would be around 4308.8 feet tall.
Recreational maths with 138230038252800
- 138230038252800 backwards is 008252830032831
- 138230038252800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138230038252800's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 138230038252800 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 138230038252800 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138230038252800/
Chicago style:
Numbermatics. 2024. "Number 138230038252800 - Facts about the integer". https://numbermatics.com/n/138230038252800/
The information we have on file for 138230038252800 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!
Keywords: Divisors of 138230038252800, math, Factors of 138230038252800, curriculum, school, college, exams, university, Prime factorization of 138230038252800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred thirty billion, thirty-eight million, two hundred fifty-two thousand, eight hundred.