138235784400
138,235,784,400 is an even composite number composed of seven prime numbers multiplied together.
138235784400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138235784400:
24 × 32 × 52 × 7 × 19 × 61 × 4733
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 19 × 61 × 4733)See below for interesting mathematical facts about the number 138235784400 from the Numbermatics database.
Names of 138235784400
- Cardinal: 138235784400 can be written as One hundred thirty-eight billion, two hundred thirty-five million, seven hundred eighty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.382357844 × 1011
Factors of 138235784400
Divisors of 138235784400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 35 36 38 40 42 45 48 50 56 57 60 61 63 70 72 75 76 80 84 90 95 100 105 112 114 120 122 126 133 140 144 150 152 168 171 175 180 183 190 200 210 225 228 240 244 252 266 280 285 300 304 305 315 336 342 350 360 366 380 399 400 420 427 450 456 475 488 504 525 532 549 560 570 600 610 630 665 684 700 720 732 760 798 840 854 855 900 912 915 950 976 1008 1050 1064 1098 1140 1159 1197 1200 1220 1260 1281 1330 1368 1400 1425 1464 1520 1525 1575 1596 1680 1708 1710 1800 1830 1900 1995 2100 2128 2135 2196 2280 2318 2394 2440 2520 2562 2660 2736 2745 2800 2850 2928 3050 3150 3192 3325 3416 3420 3477 3600 3660 3800 3843 3990 4200 4270 4275 4392 4560 4575 4636 4733 4788 4880 5040 5124 5320 5490 5700 5795 5985 6100 6300 6384 6405 6650 6832 6840 6954 7320 7600 7686 7980 8113 8400 8540 8550 8784 9150 9272 9466 9576 9975 10248 10431 10640 10675 10980 11400 11590 11970 12200 12600 12810 13300 13680 13725 13908 14199 14640 15372 15960 16226 17080 17100 17385 18300 18544 18932 19152 19215 19950 20496 20862 21350 21960 22800 23180 23665 23940 24339 24400 25200 25620 26600 27450 27816 28398 28975 29925 30744 31920 32025 32452 33131 34160 34200 34770 36600 37864 38430 39900 40565 41724 42597 42700 43920 46360 47330 47880 48678 51240 52155 53200 54900 55632 56796 57950 59850 61488 64050 64904 66262 68400 69540 70995 73017 73200 75728 76860 79800 81130 83448 85194 85400 86925 89927 92720 94660 95760 96075 97356 99393 102480 104310 109800 113592 115900 118325 119700 121695 128100 129808 132524 139080 141990 146034 153720 159600 162260 165655 166896 170388 170800 173850 179854 189320 192150 194712 198786 202825 208620 212985 219600 227184 231800 236650 239400 243390 256200 260775 265048 269781 278160 283980 288713 292068 298179 307440 324520 331310 340776 347700 354975 359708 365085 378640 384300 389424 397572 405650 417240 425970 449635 463600 473300 478800 486780 496965 512400 521550 530096 539562 567960 577426 584136 596358 608475 629489 649040 662620 681552 695400 709950 719416 730170 768600 795144 809343 811300 828275 834480 851940 866139 899270 946600 973560 993930 1043100 1064925 1079124 1135920 1154852 1168272 1192716 1216950 1258978 1325240 1348905 1390800 1419900 1438832 1443565 1460340 1490895 1537200 1590288 1618686 1622600 1656550 1703880 1732278 1798540 1825425 1888467 1893200 1947120 1987860 2020991 2086200 2129850 2158248 2248175 2309704 2385432 2433900 2484825 2517956 2598417 2650480 2697810 2839800 2887130 2920680 2981790 3147445 3237372 3245200 3313100 3407760 3464556 3597080 3650850 3776934 3975720 4041982 4046715 4172400 4259700 4316496 4330695 4496350 4619408 4770864 4867800 4969650 5035912 5196834 5395620 5485547 5665401 5679600 5774260 5841360 5963580 6062973 6294890 6474744 6626200 6744525 6929112 7194160 7217825 7301700 7454475 7553868 7951440 8083964 8093430 8519400 8661390 8992700 9442335 9735600 9939300 10071824 10104955 10393668 10791240 10971094 11330802 11548520 11927160 12125946 12589780 12949488 12992085 13252400 13489050 13858224 14435650 14603400 14908950 15107736 15737225 16167928 16186860 16456641 17038800 17322780 17985400 18188919 18884670 19878600 20209910 20233575 20787336 21582480 21653475 21942188 22661604 23097040 23854320 24251892 25179560 25984170 26978100 27427735 28327005 28871300 29206800 29817900 30215472 30314865 31474450 32335856 32373720 32913282 34645560 35970800 36377838 37769340 38398829 39757200 40419820 40467150 41574672 43306950 43884376 45323208 47211675 48503784 49369923 50359120 50524775 51968340 53956200 54855470 56654010 57742600 59635800 60629730 62948900 64747440 64960425 65826564 69291120 72755676 75538680 76797658 80839640 80934300 82283205 86613900 87768752 90646416 90944595 94423350 97007568 98739846 101049550 103936680 107912400 109710940 113308020 115196487 115485200 119271600 121259460 125897800 129920850 131653128 137138675 141635025 145511352 151077360 151574325 153595316 161679280 161868600 164566410 173227800 181889190 188846700 191994145 197479692 202099100 207873360 219421880 226616040 230392974 242518920 246849615 251795600 259841700 263306256 274277350 283270050 291022704 303148650 307190632 323737200 329132820 345589461 346455600 363778380 377693400 383988290 394959384 404198200 411416025 438843760 453232080 454722975 460785948 485037840 493699230 519683400 548554700 566540100 575982435 606297300 614381264 658265640 691178922 727556760 755386800 767976580 789918768 808396400 822832050 909445950 921571896 959970725 987398460 1039366800 1097109400 1133080200 1151964870 1212594600 1234248075 1316531280 1382357844 1455113520 1535953160 1645664100 1727947305 1818891900 1843143792 1919941450 1974796920 2194218800 2266160400 2303929740 2425189200 2468496150 2764715688 2879912175 3071906320 3291328200 3455894610 3637783800 3839882900 3949593840 4607859480 4936992300 5529431376 5759824350 6582656400 6911789220 7275567600 7679765800 8639736525 9215718960 9873984600 11519648700 13823578440 15359531600 17279473050 19747969200 23039297400 27647156880 34558946100 46078594800 69117892200 138235784400
- Sum of all divisors σ(n): 586687271040
- Sum of proper divisors (its aliquot sum) s(n): 448451486640
- 138235784400 is an abundant number, because the sum of its proper divisors (448451486640) is greater than itself. Its abundance is 310215702240
Bases of 138235784400
- Binary: 100000001011110111111010101100110100002
- Hexadecimal: 0x202F7EACD0
- Base-36: 1RI60LW0
Squares and roots of 138235784400
- 138235784400 squared (1382357844002) is 19109132088683283360000
- 138235784400 cubed (1382357844003) is 2641565863482344038437067584000000
-
The
square root of 138235784400 is 371800.7321133191 -
The
cube root of 138235784400 is 5170.5906963127
Scales and comparisons
How big is 138235784400?- 138,235,784,400 seconds is equal to 4,395 years, 24 weeks, 3 days, 5 hours.
-
To count from 1 to 138,235,784,400 would take you about eight thousand, seven hundred ninety 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 138235784400 cubic inches would be around 430.9 feet tall.
Recreational maths with 138235784400
- 138235784400 backwards is 004487532831
- 138235784400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138235784400's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138235784400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 138235784400 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138235784400/
Chicago style:
Numbermatics. 2024. "Number 138235784400 - Facts about the integer". https://numbermatics.com/n/138235784400/
The information we have on file for 138235784400 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 138235784400, math, Factors of 138235784400, curriculum, school, college, exams, university, Prime factorization of 138235784400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, two hundred thirty-five million, seven hundred eighty-four thousand, four hundred.