138047485440
138,047,485,440 is an even composite number composed of six prime numbers multiplied together.
138047485440 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 138047485440:
29 × 3 × 5 × 172 × 37 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 17 × 37 × 41 × 41)See below for interesting mathematical facts about the number 138047485440 from the Numbermatics database.
Names of 138047485440
- Cardinal: 138047485440 can be written as One hundred thirty-eight billion, forty-seven million, four hundred eighty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3804748544 × 1011
Factors of 138047485440
Divisors of 138047485440
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 37 40 41 48 51 60 64 68 74 80 82 85 96 102 111 120 123 128 136 148 160 164 170 185 192 204 205 222 240 246 255 256 272 289 296 320 328 340 370 384 408 410 444 480 492 510 512 544 555 578 592 615 629 640 656 680 697 740 768 816 820 867 888 960 984 1020 1088 1110 1156 1184 1230 1258 1280 1312 1360 1394 1445 1480 1517 1536 1632 1640 1681 1734 1776 1887 1920 1968 2040 2091 2176 2220 2312 2368 2460 2516 2560 2624 2720 2788 2890 2960 3034 3145 3264 3280 3362 3468 3485 3552 3774 3840 3936 4080 4182 4335 4352 4440 4551 4624 4736 4920 5032 5043 5248 5440 5576 5780 5920 6068 6290 6528 6560 6724 6936 6970 7104 7548 7585 7680 7872 8160 8364 8405 8670 8704 8880 9102 9248 9435 9472 9840 10064 10086 10455 10496 10693 10880 11152 11560 11840 11849 12136 12580 13056 13120 13448 13872 13940 14208 15096 15170 15744 16320 16728 16810 17340 17760 18204 18496 18870 18944 19680 20128 20172 20910 20992 21386 21760 22304 22755 23120 23680 23698 24272 25160 25215 25789 26112 26240 26896 27744 27880 28416 28577 30192 30340 31488 32079 32640 33456 33620 34680 35520 35547 36408 36992 37740 39360 40256 40344 41820 42772 43520 44608 45510 46240 47360 47396 48544 50320 50430 51578 52480 53465 53792 55488 55760 56832 57154 59245 60384 60680 62197 62976 64158 65280 66912 67240 69360 71040 71094 72816 73984 75480 77367 78720 80512 80688 83640 85544 85731 89216 91020 92480 94720 94792 97088 100640 100860 103156 104960 106930 107584 110976 111520 114308 118490 120768 121360 124394 128316 128945 130560 133824 134480 138720 142080 142188 142885 145632 147968 150960 154734 157440 160395 161024 161376 167280 171088 171462 177735 178432 182040 184960 186591 189584 194176 201280 201720 206312 213860 215168 221952 223040 228616 236980 241536 242720 248788 256632 257890 267648 268960 277440 284160 284376 285770 291264 301920 309468 310985 314880 320790 322048 322752 334560 342176 342924 355470 356864 364080 369920 373182 379168 386835 388352 402560 403440 412624 427720 428655 430336 438413 443904 446080 457232 473960 483072 485440 485809 497576 513264 515780 535296 537920 554880 568752 571540 582528 603840 618936 621970 641580 645504 669120 684352 685848 710940 728160 739840 746364 758336 773670 776704 805120 806880 825248 855440 857310 860672 876826 892160 914464 932955 947920 966144 970880 971618 995152 1026528 1031560 1057349 1070592 1075840 1109760 1137504 1143080 1165056 1207680 1237872 1243940 1283160 1291008 1315239 1338240 1368704 1371696 1421880 1456320 1457427 1492728 1516672 1547340 1610240 1613760 1650496 1710880 1714620 1753652 1784320 1828928 1865910 1895840 1941760 1943236 1990304 2053056 2063120 2114698 2151680 2192065 2219520 2275008 2286160 2330112 2415360 2429045 2475744 2487880 2566320 2582016 2630478 2676480 2737408 2743392 2843760 2912640 2914854 2985456 3033344 3094680 3172047 3227520 3300992 3421760 3429240 3507304 3657856 3731820 3791680 3883520 3886472 3980608 4106112 4126240 4229396 4303360 4384130 4550016 4572320 4830720 4858090 4951488 4975760 5132640 5260956 5286745 5352960 5474816 5486784 5687520 5825280 5829708 5970912 6066688 6189360 6344094 6455040 6576195 6601984 6843520 6858480 7014608 7287135 7315712 7463640 7583360 7772944 7961216 8212224 8252480 8458792 8768260 9100032 9144640 9716180 9902976 9951520 10265280 10521912 10573490 10973568 11375040 11650560 11659416 11941824 12378720 12688188 12910080 13152390 13203968 13687040 13716960 14029216 14574270 14631424 14927280 15166720 15545888 15860235 15922432 16424448 16504960 16917584 17536520 17974933 18200064 18289280 19432360 19805952 19903040 20530560 21043824 21146980 21947136 22750080 23318832 23883648 24757440 25376376 26304780 27374080 27433920 28058432 29148540 29854560 30333440 31091776 31720470 31844864 33009920 33835168 35073040 35949866 36578560 38864720 39611904 39806080 41061120 42087648 42293960 43894272 45500160 46637664 47767296 49514880 50752752 52609560 53924799 54867840 56116864 58297080 59709120 62183552 63440940 66019840 67670336 70146080 71899732 73157120 77729440 79612160 82122240 84175296 84587920 89874665 91000320 93275328 95534592 99029760 101505504 105219120 107849598 109735680 112233728 116594160 119418240 124367104 126881880 135340672 140292160 143799464 155458880 159224320 168350592 169175840 179749330 186550656 198059520 203011008 210438240 215699196 219471360 224467456 233188320 238836480 248734208 253763760 269623995 270681344 280584320 287598928 310917760 336701184 338351680 359498660 373101312 406022016 420876480 431398392 466376640 477672960 507527520 539247990 541362688 561168640 575197856 621835520 673402368 676703360 718997320 746202624 812044032 841752960 862796784 932753280 1015055040 1078495980 1122337280 1150395712 1243671040 1353406720 1437994640 1624088064 1683505920 1725593568 1865506560 2030110080 2156991960 2300791424 2706813440 2875989280 3367011840 3451187136 3731013120 4060220160 4313983920 4601582848 5751978560 6902374272 8120440320 8627967840 9203165696 11503957120 13804748544 17255935680 23007914240 27609497088 34511871360 46015828480 69023742720 138047485440
- Sum of all divisors σ(n): 493507917936
- Sum of proper divisors (its aliquot sum) s(n): 355460432496
- 138047485440 is an abundant number, because the sum of its proper divisors (355460432496) is greater than itself. Its abundance is 217412947056
Bases of 138047485440
- Binary: 100000001001000100010101110110000000002
- Hexadecimal: 0x2024457600
- Base-36: 1RF1WPHC
Squares and roots of 138047485440
- 138047485440 squared (1380474854402) is 19057108236307011993600
- 138047485440 cubed (1380474854403) is 2630785871780096317556401373184000
-
The
square root of 138047485440 is 371547.4201767519 -
The
cube root of 138047485440 is 5168.2419092671
Scales and comparisons
How big is 138047485440?- 138,047,485,440 seconds is equal to 4,389 years, 25 weeks, 19 hours, 44 minutes.
-
To count from 1 to 138,047,485,440 would take you about eight thousand, seven hundred seventy-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 138047485440 cubic inches would be around 430.7 feet tall.
Recreational maths with 138047485440
- 138047485440 backwards is 044584740831
- 138047485440 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138047485440'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 138047485440 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 138047485440 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/138047485440/
Chicago style:
Numbermatics. 2024. "Number 138047485440 - Facts about the integer". https://numbermatics.com/n/138047485440/
The information we have on file for 138047485440 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 138047485440, math, Factors of 138047485440, curriculum, school, college, exams, university, Prime factorization of 138047485440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, forty-seven million, four hundred eighty-five thousand, four hundred forty.