135837972000
135,837,972,000 is an even composite number composed of six prime numbers multiplied together.
135837972000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 135837972000:
25 × 35 × 53 × 29 × 61 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 61 × 79)See below for interesting mathematical facts about the number 135837972000 from the Numbermatics database.
Names of 135837972000
- Cardinal: 135837972000 can be written as One hundred thirty-five billion, eight hundred thirty-seven million, nine hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.35837972 × 1011
Factors of 135837972000
Divisors of 135837972000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 61 72 75 79 80 81 87 90 96 100 108 116 120 122 125 135 144 145 150 158 160 162 174 180 183 200 216 225 232 237 240 243 244 250 261 270 288 290 300 305 316 324 348 360 366 375 395 400 405 432 435 450 464 474 480 486 488 500 522 540 549 580 600 610 632 648 675 696 711 720 725 732 750 783 790 800 810 864 870 900 915 928 948 972 976 1000 1044 1080 1098 1125 1160 1185 1200 1215 1220 1264 1296 1305 1350 1392 1422 1440 1450 1464 1500 1525 1566 1580 1620 1647 1740 1769 1800 1830 1896 1944 1952 1975 2000 2025 2088 2133 2160 2175 2196 2250 2291 2320 2349 2370 2400 2430 2440 2528 2592 2610 2700 2745 2784 2844 2900 2928 3000 3050 3132 3160 3240 3294 3375 3480 3538 3555 3600 3625 3660 3792 3888 3915 3950 4000 4050 4176 4266 4320 4350 4392 4500 4575 4582 4640 4698 4740 4819 4860 4880 4941 5220 5307 5400 5490 5688 5800 5856 5925 6000 6075 6100 6264 6320 6399 6480 6525 6588 6750 6873 6960 7047 7076 7110 7200 7250 7320 7584 7625 7776 7830 7900 8100 8235 8352 8532 8700 8784 8845 9000 9150 9164 9396 9480 9638 9720 9760 9875 9882 10125 10440 10614 10665 10800 10875 10980 11376 11455 11600 11745 11850 12000 12150 12200 12528 12640 12798 12960 13050 13176 13500 13725 13746 13920 14094 14152 14220 14457 14500 14640 14823 15250 15660 15800 15921 16200 16470 17064 17400 17568 17690 17775 18000 18300 18328 18792 18960 19197 19276 19440 19575 19750 19764 20250 20619 20880 21228 21330 21600 21750 21960 22752 22875 22910 23200 23490 23700 24095 24300 24400 24705 25056 25596 26100 26352 26535 27000 27450 27492 28188 28304 28440 28914 29000 29280 29625 29646 30375 30500 31320 31600 31842 31995 32400 32625 32940 34128 34365 34800 35235 35380 35550 36000 36600 36656 37584 37920 38394 38552 38880 39150 39500 39528 40500 41175 41238 41760 42456 42660 43371 43500 43920 44225 45750 45820 46980 47400 47763 48190 48600 48800 49410 51192 52200 52704 53070 53325 54000 54900 54984 56376 56608 56880 57275 57828 58000 58725 59250 59292 60750 61000 61857 62640 63200 63684 63990 64800 65250 65880 68256 68625 68730 69600 70470 70760 71100 72285 73200 73312 74115 75168 76788 77104 78300 79000 79056 79605 81000 82350 82476 84912 85320 86742 87000 87840 88450 88875 91500 91640 93960 94800 95526 95985 96380 97200 97875 98820 102384 103095 104400 106140 106650 108000 109800 109968 112752 113760 114550 115656 116000 117450 118500 118584 120475 121500 122000 123525 123714 125280 127368 127980 130113 130500 131760 132675 137250 137460 139751 140940 141520 142200 143289 144570 146400 148230 153576 154208 156600 158000 158112 159210 159975 162000 164700 164952 169824 170640 171825 173484 174000 176175 176900 177750 183000 183280 185571 187920 189600 191052 191970 192760 194400 195750 197640 204768 205875 206190 208800 212280 213300 216855 219600 219936 221125 225504 229100 231312 234900 237000 237168 238815 240950 243000 244000 247050 247428 254736 255960 260226 261000 263520 265350 266625 274500 274920 279502 281880 283040 284400 286375 286578 289140 293625 296460 307152 309285 313200 316000 318420 319950 324000 329400 329904 341280 343650 346968 348000 352350 353800 355500 361425 366000 366560 370575 371142 375840 382104 383940 385520 390339 391500 395280 398025 411750 412380 419253 424560 426600 429867 433710 439200 442250 458200 462624 469800 474000 474336 477630 479925 481900 486000 494100 494856 509472 511920 515475 520452 522000 530700 533250 549000 549840 556713 559004 563760 568800 572750 573156 578280 587250 592920 602375 614304 617625 618570 626400 636840 639900 650565 658800 659808 663375 687300 693936 698755 704700 707600 711000 716445 722850 732000 741150 742284 764208 767880 771040 780678 783000 790560 796050 799875 823500 824760 838506 849120 853200 859125 859734 867420 880875 884500 916400 927855 939600 948000 955260 959850 963800 972000 988200 989712 1023840 1030950 1040904 1044000 1061400 1066500 1084275 1098000 1099680 1113426 1118008 1127520 1145500 1146312 1156560 1171017 1174500 1185840 1194075 1204750 1235250 1237140 1257759 1273680 1279800 1301130 1317600 1326750 1374600 1387872 1397510 1409400 1415200 1422000 1432890 1445700 1482300 1484568 1528416 1535760 1546425 1561356 1566000 1592100 1599750 1647000 1649520 1677012 1706400 1718250 1719468 1734840 1761750 1769000 1807125 1832800 1852875 1855710 1879200 1910520 1919700 1927600 1951695 1976400 1979424 1990125 2061900 2081808 2096265 2122800 2133000 2149335 2168550 2196000 2226852 2236016 2291000 2292624 2313120 2342034 2349000 2371680 2388150 2399625 2409500 2470500 2474280 2515518 2547360 2559600 2577375 2602260 2653500 2749200 2783565 2795020 2818800 2844000 2865780 2891400 2964600 2969136 3071520 3092850 3122712 3132000 3184200 3199500 3252825 3294000 3299040 3354024 3436500 3438936 3469680 3493775 3523500 3538000 3582225 3614250 3705750 3711420 3773277 3821040 3839400 3855200 3903390 3952800 3980250 4123800 4163616 4192530 4245600 4266000 4298670 4337100 4453704 4472032 4582000 4585248 4639275 4684068 4698000 4776300 4799250 4819000 4941000 4948560 5031036 5119200 5154750 5204520 5307000 5421375 5498400 5567130 5590040 5637600 5731560 5782800 5855085 5929200 5938272 5970375 6185700 6245424 6288795 6368400 6399000 6505650 6588000 6708048 6873000 6877872 6939360 6987550 7047000 7076000 7164450 7228500 7411500 7422840 7546554 7642080 7678800 7732125 7806780 7960500 8247600 8385060 8532000 8597340 8674200 8907408 9164000 9278550 9368136 9396000 9552600 9598500 9638000 9758475 9882000 9897120 10062072 10309500 10409040 10481325 10614000 10746675 10842750 11134260 11180080 11319831 11463120 11565600 11710170 11858400 11940750 12371400 12490848 12577590 12736800 12798000 13011300 13416096 13746000 13755744 13917825 13975100 14094000 14328900 14457000 14823000 14845680 15093108 15357600 15464250 15613560 15921000 16264125 16495200 16770120 17194680 17348400 17468875 17814816 17911125 18557100 18736272 18866385 19105200 19197000 19276000 19516950 19764000 20124144 20619000 20818080 20962650 21228000 21493350 21685500 22268520 22360160 22639662 22926240 23196375 23420340 23881500 24742800 25155180 25596000 26022600 27492000 27835650 27950200 28188000 28657800 28914000 29275425 29646000 29691360 30186216 30928500 31227120 31443975 31842000 32528250 33540240 33959493 34389360 34696800 34937750 35822250 37114200 37472544 37732770 38210400 38394000 39033900 40248288 41238000 41925300 42986700 43371000 44537040 45279324 46392750 46840680 47763000 48792375 49485600 50310360 52045200 52406625 53733375 55671300 55900400 56599155 57315600 57828000 58550850 59292000 60372432 61857000 62454240 62887950 63684000 65056500 67080480 67918986 68778720 69589125 69875500 71644500 74228400 75465540 76788000 78067800 82476000 83850600 85973400 86742000 89074080 90558648 92785500 93681360 94331925 95526000 97584750 100620720 104090400 104813250 107466750 111342600 111800800 113198310 114631200 117101700 120744864 123714000 125775900 130113000 135837972 139178250 139751000 143289000 146377125 148456800 150931080 156135600 157219875 167701200 169797465 171946800 173484000 181117296 185571000 187362720 188663850 191052000 195169500 201241440 209626500 214933500 222685200 226396620 234203400 247428000 251551800 260226000 271675944 278356500 279502000 282995775 286578000 292754250 301862160 312271200 314439750 335402400 339594930 343893600 362234592 371142000 377327700 390339000 419253000 429867000 445370400 452793240 468406800 471659625 503103600 520452000 543351888 556713000 559004000 565991550 573156000 585508500 603724320 628879500 679189860 742284000 754655400 780678000 838506000 848987325 859734000 905586480 936813600 943319250 1006207200 1086703776 1113426000 1131983100 1171017000 1257759000 1358379720 1414978875 1509310800 1561356000 1677012000 1697974650 1719468000 1811172960 1886638500 2226852000 2263966200 2342034000 2515518000 2716759440 2829957750 3018621600 3395949300 3773277000 4244936625 4527932400 4684068000 5031036000 5433518880 5659915500 6791898600 7546554000 8489873250 9055864800 11319831000 13583797200 15093108000 16979746500 22639662000 27167594400 33959493000 45279324000 67918986000 135837972000
- Sum of all divisors σ(n): 532315929600
- Sum of proper divisors (its aliquot sum) s(n): 396477957600
- 135837972000 is an abundant number, because the sum of its proper divisors (396477957600) is greater than itself. Its abundance is 260639985600
Bases of 135837972000
- Binary: 11111101000001001001011110110001000002
- Hexadecimal: 0x1FA092F620
- Base-36: 1QEIF600
Squares and roots of 135837972000
- 135837972000 squared (1358379720002) is 18451954637072784000000
- 135837972000 cubed (1358379720003) is 2506476097335962994954048000000000
-
The
square root of 135837972000 is 368562.0327706043 -
The
cube root of 135837972000 is 5140.5201167369
Scales and comparisons
How big is 135837972000?- 135,837,972,000 seconds is equal to 4,319 years, 11 weeks, 5 days, 18 hours.
-
To count from 1 to 135,837,972,000 would take you about eight thousand, six hundred thirty-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 135837972000 cubic inches would be around 428.4 feet tall.
Recreational maths with 135837972000
- 135837972000 backwards is 000279738531
- 135837972000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135837972000'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 135837972000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 135837972000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/135837972000/
Chicago style:
Numbermatics. 2024. "Number 135837972000 - Facts about the integer". https://numbermatics.com/n/135837972000/
The information we have on file for 135837972000 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 135837972000, math, Factors of 135837972000, curriculum, school, college, exams, university, Prime factorization of 135837972000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five billion, eight hundred thirty-seven million, nine hundred seventy-two thousand.