40168148700680
40,168,148,700,680 is an even composite number composed of eight prime numbers multiplied together.
What does the number 40168148700680 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
40168148700680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 40168148700680:
23 × 5 × 7 × 112 × 13 × 31 × 409 × 7193
(2 × 2 × 2 × 5 × 7 × 11 × 11 × 13 × 31 × 409 × 7193)See below for interesting mathematical facts about the number 40168148700680 from the Numbermatics database.
Names of 40168148700680
- Cardinal: 40168148700680 can be written as Forty trillion, one hundred sixty-eight billion, one hundred forty-eight million, seven hundred thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.016814870068 × 1013
Factors of 40168148700680
Divisors of 40168148700680
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 20 22 26 28 31 35 40 44 52 55 56 62 65 70 77 88 91 104 110 121 124 130 140 143 154 155 182 217 220 242 248 260 280 286 308 310 341 364 385 403 409 434 440 455 484 520 572 605 616 620 682 715 728 770 806 818 847 868 910 968 1001 1085 1144 1210 1240 1364 1430 1540 1573 1612 1636 1694 1705 1736 1820 2002 2015 2045 2170 2387 2420 2728 2821 2860 2863 3080 3146 3224 3272 3388 3410 3640 3751 4004 4030 4090 4235 4340 4433 4499 4774 4840 5005 5317 5642 5720 5726 6292 6776 6820 7193 7502 7865 8008 8060 8180 8470 8680 8866 8998 9548 10010 10634 11011 11284 11452 11935 12584 12679 13640 14105 14315 14386 15004 15730 16120 16360 16940 17732 17996 18755 19096 20020 21268 22022 22165 22495 22568 22904 23870 25358 26257 26585 28210 28630 28772 30008 31031 31460 31493 33880 35464 35965 35992 37219 37510 40040 42536 44044 44330 44990 47740 48763 49489 50351 50716 52514 53170 55055 56420 57260 57544 58487 62062 62920 62986 63395 71930 74438 75020 79123 88088 88660 88753 89980 93509 95480 97526 98978 100702 101432 105028 106340 110110 112840 114520 116974 124124 125972 126790 131285 139469 143860 148876 150040 155155 157465 158246 164827 177320 177506 179960 186095 187018 195052 197956 201404 210056 212680 220220 222983 233948 243815 247445 248248 251755 251944 253580 262570 278938 287720 292435 297752 310310 314930 316492 329654 341341 346423 355012 372190 374036 390104 395615 395912 402808 409409 440440 443765 445966 467545 467896 487630 494890 503510 507160 525140 553861 557876 584870 620620 629860 632984 643357 654563 659308 682682 692846 697345 710024 744380 748072 791230 818818 824135 870353 887530 891932 935090 975260 976283 989780 1007020 1028599 1050280 1107722 1114915 1115752 1153789 1169740 1241240 1259720 1286714 1309126 1318616 1365364 1385692 1394690 1488760 1534159 1560881 1582460 1637636 1648270 1706705 1732115 1740706 1775060 1783864 1813097 1870180 1950520 1952566 1979560 2014040 2047045 2057198 2215444 2229830 2307578 2339480 2452813 2573428 2618252 2730728 2769305 2771384 2789380 2898779 2941937 3068318 3121762 3164920 3216785 3272815 3275272 3296540 3413410 3464230 3481412 3550120 3626194 3740360 3905132 4094090 4114396 4351765 4430888 4459660 4503499 4615156 4881415 4905626 5142995 5146856 5236504 5538610 5578760 5768945 5797558 5883874 6092471 6136636 6243524 6433570 6545630 6593080 6826820 6928460 6962824 7200193 7252388 7670795 7804405 7810264 8188180 8228792 8703530 8919320 9006998 9065485 9230312 9762830 9811252 10285990 10739113 11077220 11314589 11537890 11595116 11767748 12184942 12264065 12273272 12487048 12691679 12867140 13091260 13653640 13856920 14400386 14493895 14504776 14709685 15341590 15608810 16376360 17169691 17407060 18013996 18130970 19525660 19622504 19944067 20291453 20571980 20593559 21478226 22154440 22517495 22629178 23075780 23190232 23535496 24369884 24528130 25383358 25734280 26182520 26980943 28800772 28987790 29419370 30462355 30683180 31217620 31886569 32361307 34339382 34814120 36000965 36027992 36261940 38245181 39051320 39888134 40582906 41143960 41187118 42956452 45034990 45258356 46151560 48739768 49056260 50766716 53695565 53961886 56572945 57601544 57975580 58838740 60924710 61366360 62435240 63458395 63773138 64722614 68678764 72001930 72523880 76490362 79202123 79776268 81165812 82374236 85848455 85912904 90069980 90516712 91200047 98112520 99720335 101457265 101533432 102967795 107391130 107923772 113145890 115951160 117677480 121849420 126916790 127546276 129445228 134904715 137357528 139608469 144003860 152980724 158404246 159432845 159552536 161806535 162331624 164748472 171696910 180139960 182400094 188866601 191225905 199440670 202914530 205935590 214782260 215847544 223205983 226291780 226529149 243698840 253833580 255092552 258890456 267716267 269809430 279216938 288007720 305961448 316808492 318865690 323613070 343393820 350752259 355974377 364800188 377733202 382451810 396010615 398881340 405829060 411871180 420696991 429564520 446411966 452583560 453058298 456000235 507667160 535432534 539618860 558433876 633616984 637731380 638400329 647226140 686787640 698042345 701504518 711948754 729600376 755466404 764903620 792021230 797762680 811658120 823742360 841393982 892823932 906116596 912000470 944333005 1003200517 1070865068 1079237720 1116029915 1116867752 1132645745 1185600611 1275462760 1276800658 1294452280 1338581335 1396084690 1403009036 1423897508 1510932808 1529807240 1584042460 1682787964 1753761295 1779871885 1785647864 1812233192 1824000940 1888666010 2006401034 2103484955 2141730136 2232059830 2265291490 2371201222 2455265813 2491820639 2553601316 2677162670 2792169380 2806018072 2847795016 2944878937 3168084920 3192001645 3365575928 3507522590 3559743770 3648001880 3777332020 4012802068 4206969910 4464119660 4530582980 4627666901 4742402444 4910531626 4983641278 5016002585 5107202632 5354325340 5584338760 5889757874 5928003055 6384003290 7015045180 7022403619 7119487540 7554664040 8025604136 8299204277 8413939820 8928239320 9061165960 9255333802 9484804888 9821063252 9967282556 10032005170 10708650680 11035205687 11779515748 11856006110 12276329065 12459103195 12768006580 13041606721 14030090360 14044807238 14238975080 14724394685 16598408554 16827879640 18510667604 19642126504 19934565112 20064010340 22070411374 23138334505 23559031496 23712012220 24552658130 24918206390 25536013160 26083213442 28089614476 29448789370 32393668307 33196817108 35112018095 37021335208 40128020680 41496021385 44140822748 46276669010 47424024440 49105316260 49836412780 52166426884 55176028435 56179228952 58897578740 64787336614 65208033605 66393634216 70224036190 77246439809 82992042770 88281645496 91291247047 92553338020 98210632520 99672825560 104332853768 110352056870 117795157480 129574673228 130416067210 140448072380 143457673931 154492879618 161968341535 165984085540 182582494094 185106676040 220704113740 259149346456 260832134420 280896144760 286915347862 308985759236 323936683070 331968171080 365164988188 386232199045 441408227480 456456235235 521664268840 573830695724 617971518472 647873366140 717288369655 730329976376 772464398090 912912470470 1004203717517 1147661391448 1295746732280 1434576739310 1544928796180 1825824940940 2008407435034 2869153478620 3089857592360 3651649881880 4016814870068 5021018587585 5738306957240 8033629740136 10042037175170 20084074350340 40168148700680
- Sum of all divisors σ(n): 126536681779200
- Sum of proper divisors (its aliquot sum) s(n): 86368533078520
- 40168148700680 is an abundant number, because the sum of its proper divisors (86368533078520) is greater than itself. Its abundance is 46200384377840
Bases of 40168148700680
- Binary: 10010010001000011000000011110000001110000010002
- Hexadecimal: 0x2488603C0E08
- Base-36: E8KZQMIO8
Squares and roots of 40168148700680
- 40168148700680 squared (401681487006802) is 1613480170039940372232462400
- 40168148700680 cubed (401681487006803) is 64810511395762776326594060103476954432000
-
The
square root of 40168148700680 is 6337834.7012745605 -
The
cube root of 40168148700680 is 34247.3736457509
Scales and comparisons
How big is 40168148700680?- 40,168,148,700,680 seconds is equal to 1,277,222 years, 45 weeks, 5 days, 11 hours, 31 minutes, 20 seconds.
-
To count from 1 to 40,168,148,700,680 would take you about three million, one hundred ninety-three thousand and fifty-seven 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 40168148700680 cubic inches would be around 2853.9 feet tall.
Recreational maths with 40168148700680
- 40168148700680 backwards is 08600784186104
- The number of decimal digits it has is: 14
- The sum of 40168148700680's digits is 53
- 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 40168148700680 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 40168148700680 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/40168148700680/
Chicago style:
Numbermatics. 2024. "Number 40168148700680 - Facts about the integer". https://numbermatics.com/n/40168148700680/
The information we have on file for 40168148700680 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 40168148700680, math, Factors of 40168148700680, curriculum, school, college, exams, university, Prime factorization of 40168148700680, STEM, science, technology, engineering, physics, economics, calculator, forty trillion, one hundred sixty-eight billion, one hundred forty-eight million, seven hundred thousand, six hundred eighty.