138623328480
138,623,328,480 is an even composite number composed of seven prime numbers multiplied together.
138623328480 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 138623328480:
25 × 3 × 5 × 72 × 13 × 17 × 26669
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 17 × 26669)See below for interesting mathematical facts about the number 138623328480 from the Numbermatics database.
Names of 138623328480
- Cardinal: 138623328480 can be written as One hundred thirty-eight billion, six hundred twenty-three million, three hundred twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3862332848 × 1011
Factors of 138623328480
Divisors of 138623328480
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 26 28 30 32 34 35 39 40 42 48 49 51 52 56 60 65 68 70 78 80 84 85 91 96 98 102 104 105 112 119 120 130 136 140 147 156 160 168 170 182 195 196 204 208 210 221 224 238 240 245 255 260 272 273 280 294 312 336 340 357 364 390 392 408 416 420 442 455 476 480 490 510 520 544 546 560 588 595 624 637 663 672 680 714 728 735 780 784 816 833 840 884 910 952 980 1020 1040 1092 1105 1120 1176 1190 1248 1274 1326 1360 1365 1428 1456 1470 1547 1560 1568 1632 1666 1680 1768 1785 1820 1904 1911 1960 2040 2080 2184 2210 2352 2380 2499 2548 2652 2720 2730 2856 2912 2940 3094 3120 3185 3315 3332 3360 3536 3570 3640 3808 3822 3920 4080 4165 4368 4420 4641 4704 4760 4998 5096 5304 5460 5712 5880 6188 6240 6370 6630 6664 7072 7140 7280 7644 7735 7840 8160 8330 8736 8840 9282 9520 9555 9996 10192 10608 10829 10920 11424 11760 12376 12495 12740 13260 13328 14280 14560 15288 15470 16660 17680 18564 19040 19110 19992 20384 21216 21658 21840 23205 23520 24752 24990 25480 26520 26656 26669 28560 30576 30940 32487 33320 35360 37128 38220 39984 43316 43680 46410 49504 49980 50960 53040 53338 54145 57120 61152 61880 64974 66640 74256 76440 79968 80007 86632 92820 99960 101920 106080 106676 108290 123760 129948 133280 133345 148512 152880 160014 162435 173264 185640 186683 199920 213352 216580 247520 259896 266690 305760 320028 324870 346528 346697 371280 373366 399840 400035 426704 433160 453373 519792 533380 560049 640056 649740 693394 742560 746732 800070 853408 866320 906746 933415 1039584 1040091 1066760 1120098 1280112 1299480 1306781 1360119 1386788 1493464 1600140 1732640 1733485 1813492 1866830 2080182 2133520 2240196 2266865 2426879 2560224 2598960 2613562 2720238 2773576 2800245 2986928 3173611 3200280 3466970 3626984 3733660 3920343 4160364 4267040 4480392 4533730 4853758 5197920 5200455 5227124 5440476 5547152 5600490 5893849 5973856 6347222 6400560 6533905 6800595 6933940 7253968 7280637 7467320 7840686 8320728 8960784 9067460 9520833 9707516 10400910 10454248 10880952 11094304 11200980 11787698 12134395 12694444 12801120 13067810 13601190 13867880 14507936 14561274 14934640 15681372 15868055 16641456 16988153 17681547 17921568 18134920 19041666 19415032 19601715 20801820 20908496 21761904 22215277 22401960 23575396 24268790 25388888 26135620 27202380 27735760 29122548 29469245 29869280 31362744 31736110 33282912 33976306 35363094 36269840 36403185 38083332 38830064 39203430 41256943 41603640 41816992 43523808 44430554 44803920 47150792 47604165 48537580 50777776 50964459 52271240 54404760 55471520 58245096 58938490 62725488 63472220 66645831 67952612 70726188 72539680 72806370 76166664 77660128 78406860 82513886 83207280 84940765 88407735 88861108 89607840 94301584 95208330 97075160 101555552 101928918 104542480 108809520 111076385 116490192 117876980 123770829 125450976 126944440 133291662 135905224 141452376 145612740 152333328 156813720 165027772 166414560 169881530 176815470 177722216 188603168 190416660 194150320 203857836 206284715 209084960 217619040 222152770 232980384 235753960 247541658 253888880 254822295 266583324 271810448 282904752 288798601 291225480 304666656 313627440 330055544 333229155 339763060 353630940 355444432 380833320 388300640 407715672 412569430 444305540 471507920 495083316 507777760 509644590 533166648 543620896 565809504 577597202 582450960 618854145 627254880 660111088 666458310 679526120 707261880 710888864 761666640 815431344 825138860 866395803 888611080 943015840 990166632 1019289180 1066333296 1155194404 1164901920 1237708290 1320222176 1332916620 1359052240 1414523760 1443993005 1523333280 1630862688 1650277720 1732791606 1777222160 1980333264 2038578360 2132666592 2310388808 2475416580 2665833240 2718104480 2829047520 2887986010 3300555440 3465583212 3554444320 3960666528 4077156720 4331979015 4620777616 4950833160 5331666480 5775972020 6601110880 6931166424 8154313440 8663958030 9241555232 9901666320 10663332960 11551944040 13862332848 17327916060 19803332640 23103888080 27724665696 34655832120 46207776160 69311664240 138623328480
- Sum of all divisors σ(n): 579228874560
- Sum of proper divisors (its aliquot sum) s(n): 440605546080
- 138623328480 is an abundant number, because the sum of its proper divisors (440605546080) is greater than itself. Its abundance is 301982217600
Bases of 138623328480
- Binary: 100000010001101001100000100000111000002
- Hexadecimal: 0x20469820E0
- Base-36: 1ROKR0TC
Squares and roots of 138623328480
- 138623328480 squared (1386233284802) is 19216427198873979110400
- 138623328480 cubed (1386233284803) is 2663845099801513892345637384192000
-
The
square root of 138623328480 is 372321.5391029639 -
The
cube root of 138623328480 is 5175.4181056387
Scales and comparisons
How big is 138623328480?- 138,623,328,480 seconds is equal to 4,407 years, 41 weeks, 1 day, 16 hours, 8 minutes.
-
To count from 1 to 138,623,328,480 would take you about eight thousand, eight hundred fifteen 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 138623328480 cubic inches would be around 431.3 feet tall.
Recreational maths with 138623328480
- 138623328480 backwards is 084823326831
- 138623328480 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138623328480's digits is 48
- 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 138623328480 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 138623328480 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/138623328480/
Chicago style:
Numbermatics. 2024. "Number 138623328480 - Facts about the integer". https://numbermatics.com/n/138623328480/
The information we have on file for 138623328480 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 138623328480, math, Factors of 138623328480, curriculum, school, college, exams, university, Prime factorization of 138623328480, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, six hundred twenty-three million, three hundred twenty-eight thousand, four hundred eighty.