135042629990400
135,042,629,990,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 135042629990400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
135042629990400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 135042629990400:
211 × 32 × 52 × 11 × 19 × 61 × 127 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 19 × 61 × 127 × 181)See below for interesting mathematical facts about the number 135042629990400 from the Numbermatics database.
Names of 135042629990400
- Cardinal: 135042629990400 can be written as One hundred thirty-five trillion, forty-two billion, six hundred twenty-nine million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.350426299904 × 1014
Factors of 135042629990400
Divisors of 135042629990400
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 30 32 33 36 38 40 44 45 48 50 55 57 60 61 64 66 72 75 76 80 88 90 95 96 99 100 110 114 120 122 127 128 132 144 150 152 160 165 171 176 180 181 183 190 192 198 200 209 220 225 228 240 244 254 256 264 275 285 288 300 304 305 320 330 342 352 360 362 366 380 381 384 396 400 418 440 450 456 475 480 488 495 508 512 528 543 549 550 570 576 600 608 610 627 635 640 660 671 684 704 720 724 732 760 762 768 792 800 825 836 855 880 900 905 912 915 950 960 976 990 1016 1024 1045 1056 1086 1098 1100 1140 1143 1152 1159 1200 1216 1220 1254 1270 1280 1320 1342 1368 1397 1408 1425 1440 1448 1464 1520 1524 1525 1536 1584 1600 1629 1650 1672 1710 1760 1800 1810 1824 1830 1881 1900 1905 1920 1952 1980 1991 2013 2032 2048 2090 2112 2172 2196 2200 2280 2286 2304 2318 2400 2413 2432 2440 2475 2508 2540 2560 2640 2684 2715 2736 2745 2794 2816 2850 2880 2896 2928 3040 3048 3050 3072 3135 3168 3175 3200 3258 3300 3344 3355 3420 3439 3477 3520 3600 3620 3648 3660 3762 3800 3810 3840 3904 3960 3982 4026 4064 4180 4191 4224 4275 4344 4392 4400 4525 4560 4572 4575 4608 4636 4800 4826 4864 4880 4950 5016 5080 5120 5225 5280 5368 5430 5472 5490 5588 5632 5700 5715 5760 5792 5795 5856 5973 6039 6080 6096 6100 6144 6270 6336 6350 6400 6516 6600 6688 6710 6840 6878 6954 6985 7040 7200 7239 7240 7296 7320 7524 7600 7620 7680 7747 7808 7920 7964 8052 8128 8145 8360 8382 8448 8550 8688 8784 8800 9050 9120 9144 9150 9216 9272 9405 9525 9600 9652 9728 9760 9900 9955 10032 10065 10160 10240 10317 10431 10450 10560 10736 10860 10944 10980 11041 11176 11264 11400 11430 11520 11584 11590 11712 11946 12065 12078 12160 12192 12200 12540 12573 12672 12700 12749 12800 13032 13200 13376 13420 13575 13680 13725 13756 13908 13970 14080 14400 14478 14480 14592 14640 15048 15200 15240 15360 15494 15616 15675 15840 15928 16104 16256 16290 16720 16764 16775 16896 17100 17195 17376 17385 17568 17600 17919 18100 18240 18288 18300 18432 18544 18810 19050 19200 19304 19456 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186522969600 187559208320 191821917600 197430745600 201255782400 204610045440 211004109360 212665559040 215378995200 221381360640 222109588800 225071049984 234449010400 236916894720 245532054528 245979289600 248697292800 255762556800 263755136700 265831948800 272813393920 276726700800 281338812480 284300273664 296146118400 300094733312 306915068160 323068492800 337606574976 341016742400 351673515600 354442598400 355375342080 368968934400 373045939200 375118416640 383643835200 394861491200 409220090880 422008218720 442762721280 444219177600 450142099968 468898020800 473833789440 491064109056 511525113600 527510273400 531663897600 553453401600 562677624960 592292236800 600189466624 613830136320 646136985600 675213149952 682033484800 703347031200 710750684160 737937868800 746091878400 750236833280 767287670400 789722982400 818440181760 844016437440 888438355200 900284199936 937796041600 1023050227200 1055020546800 1063327795200 1106906803200 1125355249920 1184584473600 1227660272640 1350426299904 1364066969600 1406694062400 1421501368320 1500473666560 1534575340800 1688032874880 1776876710400 1800568399872 1875592083200 2046100454400 2110041093600 2213813606400 2250710499840 2369168947200 2455320545280 2700852599808 2813388124800 3000947333120 3069150681600 3376065749760 3553753420800 3751184166400 4092200908800 4220082187200 4501420999680 5401705199616 5626776249600 6138301363200 6752131499520 7107506841600 7502368332800 8440164374400 9002841999360 11253552499200 12276602726400 13504262999040 15004736665600 16880328748800 22507104998400 27008525998080 33760657497600 45014209996800 67521314995200 135042629990400
- Sum of all divisors σ(n): 572062185676800
- Sum of proper divisors (its aliquot sum) s(n): 437019555686400
- 135042629990400 is an abundant number, because the sum of its proper divisors (437019555686400) is greater than itself. Its abundance is 301976925696000
Bases of 135042629990400
- Binary: 111101011010010000011111111110101111000000000002
- Hexadecimal: 0x7AD20FFD7800
- Base-36: 1BV9Q775S0
Squares and roots of 135042629990400
- 135042629990400 squared (1350426299904002) is 18236511914724081504092160000
- 135042629990400 cubed (1350426299904003) is 2462706530815605176265609866341515264000000
-
The
square root of 135042629990400 is 11620784.3965198839 -
The
cube root of 135042629990400 is 51304.6775548587
Scales and comparisons
How big is 135042629990400?- 135,042,629,990,400 seconds is equal to 4,293,937 years, 47 weeks, 5 days, 16 hours.
-
To count from 1 to 135,042,629,990,400 would take you about ten million, seven hundred thirty-four thousand, eight hundred forty-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 135042629990400 cubic inches would be around 4275.4 feet tall.
Recreational maths with 135042629990400
- 135042629990400 backwards is 004099926240531
- The number of decimal digits it has is: 15
- The sum of 135042629990400's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 135042629990400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
APA style:
Numbermatics. (2024). Number 135042629990400 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/135042629990400/
Chicago style:
Numbermatics. 2024. "Number 135042629990400 - Facts about the integer". https://numbermatics.com/n/135042629990400/
The information we have on file for 135042629990400 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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