138193363440
138,193,363,440 is an even composite number composed of seven prime numbers multiplied together.
138193363440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138193363440:
24 × 33 × 5 × 11 × 41 × 127 × 1117
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 41 × 127 × 1117)See below for interesting mathematical facts about the number 138193363440 from the Numbermatics database.
Names of 138193363440
- Cardinal: 138193363440 can be written as One hundred thirty-eight billion, one hundred ninety-three million, three hundred sixty-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3819336344 × 1011
Factors of 138193363440
Divisors of 138193363440
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 41 44 45 48 54 55 60 66 72 80 82 88 90 99 108 110 120 123 127 132 135 144 164 165 176 180 198 205 216 220 240 246 254 264 270 297 328 330 360 369 381 396 410 432 440 451 492 495 508 528 540 594 615 635 656 660 720 738 762 792 820 880 902 984 990 1016 1080 1107 1117 1143 1188 1230 1270 1320 1353 1397 1476 1485 1524 1584 1640 1804 1845 1905 1968 1980 2032 2160 2214 2234 2255 2286 2376 2460 2540 2640 2706 2794 2952 2970 3048 3280 3351 3429 3608 3690 3810 3960 4059 4191 4428 4468 4510 4572 4752 4920 5080 5207 5412 5535 5585 5588 5715 5904 5940 6096 6702 6765 6858 6985 7216 7380 7620 7920 8118 8382 8856 8936 9020 9144 9840 10053 10160 10414 10824 11070 11170 11176 11430 11880 12177 12287 12573 13404 13530 13716 13970 14760 15240 15621 16236 16755 16764 17145 17712 17872 18040 18288 20106 20295 20828 20955 21648 22140 22340 22352 22860 23760 24354 24574 25146 26035 26808 27060 27432 27940 29520 30159 30480 31242 32472 33510 33528 34290 36080 36861 37719 40212 40590 41656 41910 44280 44680 45720 45797 46863 48708 49148 50265 50292 52070 53616 54120 54864 55880 57277 60318 60885 61435 62484 62865 64944 67020 67056 68580 73722 75438 78105 80424 81180 83312 83820 88560 89360 91440 91594 93726 97416 98296 100530 100584 104140 108240 110583 111760 114554 120636 121770 122870 124968 125730 134040 137160 137391 140589 141859 147444 150795 150876 156210 160848 162360 167640 171831 183188 184305 187452 188595 194832 196592 201060 201168 208280 221166 228985 229108 234315 241272 243540 245740 249936 251460 268080 274320 274782 281178 283718 286385 294888 301590 301752 312420 324720 331749 335280 343662 366376 368610 374904 377190 402120 412173 416560 425577 442332 457970 458216 468630 482544 487080 491480 502920 503767 515493 549564 552915 562356 567436 572770 589776 603180 603504 624840 663498 686955 687324 702945 709295 732752 737220 749808 754380 804240 824346 851154 859155 884664 915940 916432 937260 974160 982960 1005840 1007534 1030986 1099128 1105830 1124712 1134872 1145540 1206360 1236519 1249680 1276731 1326996 1373910 1374648 1405890 1418590 1474440 1508760 1511301 1546479 1560449 1648692 1658745 1702308 1718310 1769328 1831880 1874520 2015068 2060865 2061972 2127885 2198256 2211660 2249424 2269744 2291080 2412720 2473038 2518835 2553462 2577465 2653992 2747820 2749296 2811780 2837180 2948880 3017520 3022602 3092958 3120898 3297384 3317490 3404616 3436620 3663760 3749040 3830193 4030136 4121730 4123944 4255770 4423320 4533903 4582160 4681347 4946076 5037670 5106924 5154930 5307984 5495640 5623560 5674360 5816219 6045204 6182595 6185916 6241796 6383655 6594768 6634980 6809232 6873240 7556505 7660386 7732395 7802245 8060272 8243460 8247888 8511540 8846640 9067806 9362694 9892152 10075340 10213848 10309860 10991280 11247120 11348720 11632438 12090408 12365190 12371832 12483592 12767310 13269960 13601709 13746480 14044041 15113010 15320772 15464790 15604490 16486920 17023080 17448657 18135612 18725388 19150965 19784304 20150680 20427696 20619720 22669515 23264876 23406735 24180816 24730380 24743664 24967184 25534620 26539920 27203418 28088082 29081095 30226020 30641544 30929580 31208980 32973840 34046160 34897314 36271224 37450776 38301930 40301360 41239440 42132123 45339030 46529752 46813470 49460760 51069240 52345971 54406836 56176164 58162190 60452040 61283088 61859160 62417960 63978409 68008545 69794628 70220205 72542448 74901552 76603860 84264246 87243285 90678060 93059504 93626940 98921520 102138480 104691942 108813672 112352328 116324380 120904080 123718320 124835920 127956818 136017090 139589256 140440410 153207720 157037913 168528492 174486570 181356120 187253880 191935227 209383884 210660615 217627344 224704656 232648760 255913636 261729855 272034180 279178512 280880820 306415440 314075826 319892045 337056984 348973140 362712240 374507760 383870454 418767768 421321230 465297520 511827272 523459710 544068360 561761640 575805681 628151652 639784090 674113968 697946280 767740908 785189565 837535536 842642460 959676135 1023654544 1046919420 1088136720 1123523280 1151611362 1256303304 1279568180 1395892560 1535481816 1570379130 1685284920 1727417043 1919352270 2093838840 2303222724 2512606608 2559136360 2879028405 3070963632 3140758260 3370569840 3454834086 3838704540 4187677680 4606445448 5118272720 5758056810 6281516520 6909668172 7677409080 8637085215 9212890896 11516113620 12563033040 13819336344 15354818160 17274170430 23032227240 27638672688 34548340860 46064454480 69096681720 138193363440
- Sum of all divisors σ(n): 536605655040
- Sum of proper divisors (its aliquot sum) s(n): 398412291600
- 138193363440 is an abundant number, because the sum of its proper divisors (398412291600) is greater than itself. Its abundance is 260218928160
Bases of 138193363440
- Binary: 100000001011001111011101100001111100002
- Hexadecimal: 0x202CF761F0
- Base-36: 1RHGRDO0
Squares and roots of 138193363440
- 138193363440 squared (1381933634402) is 19097405698859928633600
- 138193363440 cubed (1381933634403) is 2639134726503677311315547395584000
-
The
square root of 138193363440 is 371743.6797579749 -
The
cube root of 138193363440 is 5170.0617356853
Scales and comparisons
How big is 138193363440?- 138,193,363,440 seconds is equal to 4,394 years, 6 weeks, 2 days, 5 hours, 24 minutes.
-
To count from 1 to 138,193,363,440 would take you about eight thousand, seven hundred eighty-eight 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 138193363440 cubic inches would be around 430.8 feet tall.
Recreational maths with 138193363440
- 138193363440 backwards is 044363391831
- 138193363440 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138193363440'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 138193363440 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
APA style:
Numbermatics. (2024). Number 138193363440 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/138193363440/
Chicago style:
Numbermatics. 2024. "Number 138193363440 - Facts about the integer". https://numbermatics.com/n/138193363440/
The information we have on file for 138193363440 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 138193363440, math, Factors of 138193363440, curriculum, school, college, exams, university, Prime factorization of 138193363440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, one hundred ninety-three million, three hundred sixty-three thousand, four hundred forty.