138397973760
138,397,973,760 is an even composite number composed of six prime numbers multiplied together.
What does the number 138397973760 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
138397973760 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138397973760:
28 × 34 × 5 × 17 × 233 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 17 × 233 × 337)See below for interesting mathematical facts about the number 138397973760 from the Numbermatics database.
Names of 138397973760
- Cardinal: 138397973760 can be written as One hundred thirty-eight billion, three hundred ninety-seven million, nine hundred seventy-three thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.3839797376 × 1011
Factors of 138397973760
Divisors of 138397973760
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 81 85 90 96 102 108 120 128 135 136 144 153 160 162 170 180 192 204 216 233 240 255 256 270 272 288 306 320 324 337 340 360 384 405 408 432 459 466 480 510 540 544 576 612 640 648 674 680 699 720 765 768 810 816 864 918 932 960 1011 1020 1080 1088 1152 1165 1224 1280 1296 1348 1360 1377 1398 1440 1530 1620 1632 1685 1728 1836 1864 1920 2022 2040 2097 2160 2176 2295 2304 2330 2448 2592 2696 2720 2754 2796 2880 3033 3060 3240 3264 3370 3456 3495 3672 3728 3840 3961 4044 4080 4194 4320 4352 4590 4660 4896 5055 5184 5392 5440 5508 5592 5729 5760 6066 6120 6291 6480 6528 6740 6885 6912 6990 7344 7456 7922 8088 8160 8388 8640 9099 9180 9320 9792 10110 10368 10485 10784 10880 11016 11184 11458 11520 11883 12132 12240 12582 12960 13056 13480 13770 13980 14688 14912 15165 15844 16176 16320 16776 17187 17280 18198 18360 18640 18873 19584 19805 20220 20736 20970 21568 21760 22032 22368 22916 23766 24264 24480 25164 25920 26960 27297 27540 27960 28645 29376 29824 30330 31455 31688 32352 32640 33552 34374 34560 35649 36396 36720 37280 37746 39168 39610 40440 41940 43136 44064 44736 45495 45832 47532 48528 48960 50328 51561 51840 53920 54594 55080 55920 57290 58752 59415 59648 60660 62910 63376 64704 65280 67104 68748 71298 72792 73440 74560 75492 78521 79220 80880 83880 85935 86272 88128 89472 90990 91664 94365 95064 97056 97920 100656 103122 103680 106947 107840 109188 110160 111840 114580 117504 118830 121320 125820 126752 129408 134208 136485 137496 142596 145584 146880 149120 150984 154683 157042 158440 161760 167760 171870 176256 178245 178944 181980 183328 188730 190128 194112 195840 201312 206244 213894 215680 218376 220320 223680 229160 235563 237660 242640 251640 253504 257805 258816 268416 272970 274992 285192 291168 293760 298240 301968 309366 314084 316880 320841 323520 335520 343740 352512 356490 363960 366656 377460 380256 388224 392605 402624 412488 427788 431360 436752 440640 447360 458320 464049 471126 475320 485280 503280 507008 515610 534735 536832 545940 549984 570384 582336 587520 603936 618732 628168 633760 641682 647040 671040 687480 706689 712980 727920 733312 754920 760512 773415 776448 785210 805248 824976 855576 873504 881280 894720 916640 928098 942252 950640 970560 1006560 1014016 1031220 1069470 1091880 1099968 1140768 1164672 1177815 1207872 1237464 1256336 1267520 1283364 1294080 1334857 1342080 1374960 1413378 1425960 1455840 1466624 1509840 1521024 1546830 1570420 1604205 1610496 1649952 1711152 1747008 1762560 1833280 1856196 1884504 1901280 1941120 2013120 2062440 2120067 2138940 2183760 2199936 2281536 2320245 2329344 2355630 2415744 2474928 2512672 2535040 2566728 2669714 2684160 2749920 2826756 2851920 2911680 3019680 3042048 3093660 3140840 3208410 3299904 3422304 3494016 3533445 3666560 3712392 3769008 3802560 3882240 4004571 4026240 4124880 4240134 4277880 4367520 4399872 4563072 4640490 4711260 4831488 4949856 5025344 5070080 5133456 5339428 5499840 5653512 5703840 5823360 6039360 6187320 6281680 6360201 6416820 6599808 6674285 6844608 6988032 7066890 7333120 7424784 7538016 7605120 8009142 8052480 8249760 8480268 8555760 8735040 9126144 9280980 9422520 9899712 10050688 10266912 10600335 10678856 10999680 11307024 11407680 11646720 12013713 12078720 12374640 12563360 12720402 12833640 13199616 13348570 13689216 14133780 14849568 15076032 15210240 16018284 16499520 16960536 17111520 17470080 18561960 18845040 19799424 20022855 20101376 20533824 21200670 21357712 21999360 22614048 22815360 24027426 24157440 24749280 25126720 25440804 25667280 26697140 27378432 28267560 29699136 30152064 31801005 32036568 32999040 33921072 34223040 34940160 36041139 37123920 37690080 39598848 40045710 41067648 42401340 42715424 45228096 45630720 48054852 49498560 50253440 50881608 51334560 53394280 56535120 59398272 60068565 60304128 63602010 64073136 65998080 67842144 68446080 72082278 74247840 75380160 80091420 82135296 84802680 85430848 90456192 96109704 98997120 100506880 101763216 102669120 106788560 108123417 113070240 118796544 120137130 127204020 128146272 135684288 136892160 144164556 148495680 150760320 160182840 169605360 170861696 180205695 180912384 192219408 197994240 203526432 205338240 213577120 216246834 226140480 240274260 254408040 256292544 271368576 288329112 296991360 301520640 320365680 339210720 341723392 360411390 384438816 407052864 410676480 427154240 432493668 452280960 480548520 508816080 512585088 540617085 542737152 576658224 593982720 640731360 678421440 720822780 768877632 814105728 854308480 864987336 904561920 961097040 1017632160 1025170176 1081234170 1153316448 1281462720 1356842880 1441645560 1537755264 1628211456 1708616960 1729974672 1922194080 2035264320 2162468340 2306632896 2562925440 2713685760 2883291120 3075510528 3459949344 3844388160 4070528640 4324936680 4613265792 5125850880 5766582240 6919898688 7688776320 8141057280 8649873360 9226531584 11533164480 13839797376 15377552640 17299746720 23066328960 27679594752 34599493440 46132657920 69198986880 138397973760
- Sum of all divisors σ(n): 528156444816
- Sum of proper divisors (its aliquot sum) s(n): 389758471056
- 138397973760 is an abundant number, because the sum of its proper divisors (389758471056) is greater than itself. Its abundance is 251360497296
Bases of 138397973760
- Binary: 100000001110010010100101111101000000002
- Hexadecimal: 0x2039297D00
- Base-36: 1RKUKW00
Squares and roots of 138397973760
- 138397973760 squared (1383979737602) is 19153999140873648537600
- 138397973760 cubed (1383979737603) is 2650874670497693753782227173376000
-
The
square root of 138397973760 is 372018.7814613665 -
The
cube root of 138397973760 is 5172.6120904987
Scales and comparisons
How big is 138397973760?- 138,397,973,760 seconds is equal to 4,400 years, 32 weeks, 4 days, 9 hours, 36 minutes.
-
To count from 1 to 138,397,973,760 would take you about eight thousand, eight hundred 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 138397973760 cubic inches would be around 431.1 feet tall.
Recreational maths with 138397973760
- 138397973760 backwards is 067379793831
- The number of decimal digits it has is: 12
- The sum of 138397973760's digits is 63
- 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 138397973760 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 138397973760 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138397973760/
Chicago style:
Numbermatics. 2024. "Number 138397973760 - Facts about the integer". https://numbermatics.com/n/138397973760/
The information we have on file for 138397973760 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 138397973760, math, Factors of 138397973760, curriculum, school, college, exams, university, Prime factorization of 138397973760, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, three hundred ninety-seven million, nine hundred seventy-three thousand, seven hundred sixty.