40221938137098240
40,221,938,137,098,240 is an even composite number composed of five prime numbers multiplied together.
What does the number 40221938137098240 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1800 divisors.
40221938137098240 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 40221938137098240:
211 × 34 × 5 × 414 × 1312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 41 × 41 × 41 × 41 × 131 × 131)See below for interesting mathematical facts about the number 40221938137098240 from the Numbermatics database.
Names of 40221938137098240
- Cardinal: 40221938137098240 can be written as Forty quadrillion, two hundred twenty-one trillion, nine hundred thirty-eight billion, one hundred thirty-seven million, ninety-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 4.022193813709824 × 1016
Factors of 40221938137098240
Divisors of 40221938137098240
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 41 45 48 54 60 64 72 80 81 82 90 96 108 120 123 128 131 135 144 160 162 164 180 192 205 216 240 246 256 262 270 288 320 324 328 360 369 384 393 405 410 432 480 492 512 524 540 576 615 640 648 655 656 720 738 768 786 810 820 864 960 984 1024 1048 1080 1107 1152 1179 1230 1280 1296 1310 1312 1440 1476 1536 1572 1620 1640 1681 1728 1845 1920 1965 1968 2048 2096 2160 2214 2304 2358 2460 2560 2592 2620 2624 2880 2952 3072 3144 3240 3280 3321 3362 3456 3537 3690 3840 3930 3936 4192 4320 4428 4608 4716 4920 5043 5120 5184 5240 5248 5371 5535 5760 5895 5904 6144 6288 6480 6560 6642 6724 6912 7074 7380 7680 7860 7872 8384 8405 8640 8856 9216 9432 9840 10086 10240 10368 10480 10496 10611 10742 11070 11520 11790 11808 12576 12960 13120 13284 13448 13824 14148 14760 15129 15360 15720 15744 16113 16605 16768 16810 17161 17280 17685 17712 18432 18864 19680 20172 20736 20960 20992 21222 21484 22140 23040 23580 23616 25152 25215 25920 26240 26568 26855 26896 27648 28296 29520 30258 30720 31440 31488 32226 33210 33536 33620 34322 34560 35370 35424 37728 39360 40344 41472 41920 41984 42444 42968 44280 45387 46080 47160 47232 48339 50304 50430 51483 51840 52480 53055 53136 53710 53792 55296 56592 59040 60516 62880 62976 64452 66420 67072 67240 68644 68921 69120 70740 70848 75456 75645 78720 80565 80688 82944 83840 83968 84888 85805 85936 88560 90774 92160 94320 94464 96678 100608 100860 102966 103680 104960 106110 106272 107420 107584 113184 118080 121032 125760 125952 128904 132840 134144 134480 136161 137288 137842 138240 141480 141696 145017 150912 151290 154449 157440 161130 161376 165888 167680 169776 171610 171872 177120 181548 188640 188928 193356 201216 201720 205932 206763 207360 209920 212220 212544 214840 215168 220211 226368 226935 236160 241695 242064 251520 251904 257415 257808 265680 268288 268960 272322 274576 275684 276480 282960 283392 290034 301824 302580 308898 314880 322260 322752 335360 339552 343220 343744 344605 354240 363096 377280 377856 386712 402432 403440 411864 413526 414720 419840 424440 425088 429680 430336 435051 440422 452736 453870 463347 472320 483390 484128 503040 514830 515616 531360 537920 544644 549152 551368 565920 566784 580068 603648 605160 617796 620289 629760 644520 645504 660633 670720 679104 680805 686440 687488 689210 703601 708480 725085 726192 754560 755712 772245 773424 804864 806880 823728 827052 829440 848880 850176 859360 860672 870102 880844 905472 907740 926694 944640 966780 968256 1006080 1029660 1031232 1033815 1062720 1075840 1089288 1098304 1101055 1102736 1131840 1133568 1160136 1207296 1210320 1235592 1240578 1259520 1289040 1291008 1321266 1341440 1358208 1361610 1372880 1374976 1378420 1390041 1407202 1416960 1450170 1452384 1509120 1544490 1546848 1613760 1647456 1654104 1697760 1700352 1718720 1721344 1740204 1761688 1810944 1815480 1853388 1860867 1889280 1933560 1936512 1981899 2012160 2059320 2062464 2067630 2110803 2125440 2151680 2175255 2178576 2196608 2202110 2205472 2263680 2267136 2316735 2320272 2414592 2420640 2471184 2481156 2578080 2582016 2642532 2716416 2723220 2745760 2749952 2756840 2780082 2814404 2825761 2833920 2900340 2904768 3018240 3088980 3093696 3101445 3227520 3294912 3303165 3308208 3395520 3400704 3437440 3442688 3480408 3518005 3523376 3621888 3630960 3706776 3721734 3778560 3867120 3873024 3963798 4024320 4118640 4124928 4135260 4221606 4250880 4303360 4350510 4357152 4393216 4404220 4410944 4527360 4633470 4640544 4841280 4942368 4962312 5156160 5164032 5285064 5432832 5446440 5491520 5499904 5513680 5560164 5582601 5628808 5651522 5667840 5800680 5809536 5945697 6036480 6177960 6187392 6202890 6332409 6455040 6589824 6606330 6616416 6791040 6801408 6874880 6950205 6960816 7036010 7046752 7243776 7261920 7413552 7443468 7734240 7746048 7927596 8237280 8249856 8270520 8443212 8477283 8501760 8606720 8701020 8714304 8786432 8808440 8821888 9028651 9054720 9266940 9281088 9304335 9682560 9884736 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248283568747520 251387113356864 279319014840960 297940282497024 307037695703040 314233891696080 327007627130880 335182817809152 372425353121280 418978522261440 446910423745536 490511440696320 496567137495040 502774226713728 558638029681920 628467783392160 670365635618304 744850706242560 837957044522880 893820847491072 981022881392640 1005548453427456 1117276059363840 1256935566784320 1340731271236608 1489701412485120 1675914089045760 2011096906854912 2234552118727680 2513871133568640 2681462542473216 3351828178091520 4022193813709824 4469104237455360 5027742267137280 6703656356183040 8044387627419648 10055484534274560 13407312712366080 20110969068549120 40221938137098240
- Sum of all divisors σ(n): 148908729014095050
- Sum of proper divisors (its aliquot sum) s(n): 108686790876996810
- 40221938137098240 is an abundant number, because the sum of its proper divisors (108686790876996810) is greater than itself. Its abundance is 68464852739898570
Bases of 40221938137098240
- Binary: 100011101110010110100011101111101101011011101000000000002
- Hexadecimal: 0x8EE5A3BED6E800
- Base-36: B01HJAJ5S00
Squares and roots of 40221938137098240
- 40221938137098240 squared (402219381370982402) is 1617804307504557837174167411097600
- 40221938137098240 cubed (402219381370982403) is 65071224774379383267527128265573104675637428224000
-
The
square root of 40221938137098240 is 200554077.8371216265 -
The
cube root of 40221938137098240 is 342626.5378952035
Scales and comparisons
How big is 40221938137098240?- 40,221,938,137,098,240 seconds is equal to 1,278,933,218 years, 7 weeks, 14 hours, 24 minutes.
-
To count from 1 to 40,221,938,137,098,240 would take you about three billion, eight hundred thirty-six million, seven hundred ninety-nine thousand, six hundred fifty-four 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 40221938137098240 cubic inches would be around 28552.2 feet tall.
Recreational maths with 40221938137098240
- 40221938137098240 backwards is 04289073183912204
- The number of decimal digits it has is: 17
- The sum of 40221938137098240's digits is 63
- More coming soon!
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MLA style:
"Number 40221938137098240 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 40221938137098240 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/40221938137098240/
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Numbermatics. 2024. "Number 40221938137098240 - Facts about the integer". https://numbermatics.com/n/40221938137098240/
The information we have on file for 40221938137098240 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!
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