135378988800
135,378,988,800 is an even composite number composed of six prime numbers multiplied together.
135378988800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 135378988800:
28 × 3 × 52 × 11 × 179 × 3581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 179 × 3581)See below for interesting mathematical facts about the number 135378988800 from the Numbermatics database.
Names of 135378988800
- Cardinal: 135378988800 can be written as One hundred thirty-five billion, three hundred seventy-eight million, nine hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.353789888 × 1011
Factors of 135378988800
Divisors of 135378988800
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 128 132 150 160 165 176 179 192 200 220 240 256 264 275 300 320 330 352 358 384 400 440 480 528 537 550 600 640 660 704 716 768 800 825 880 895 960 1056 1074 1100 1200 1280 1320 1408 1432 1600 1650 1760 1790 1920 1969 2112 2148 2200 2400 2640 2685 2816 2864 3200 3300 3520 3580 3581 3840 3938 4224 4296 4400 4475 4800 5280 5370 5728 5907 6400 6600 7040 7160 7162 7876 8448 8592 8800 8950 9600 9845 10560 10740 10743 11456 11814 13200 13425 14080 14320 14324 15752 17184 17600 17900 17905 19200 19690 21120 21480 21486 22912 23628 26400 26850 28640 28648 29535 31504 34368 35200 35800 35810 39380 39391 42240 42960 42972 45824 47256 49225 52800 53700 53715 57280 57296 59070 63008 68736 70400 71600 71620 78760 78782 85920 85944 89525 94512 98450 105600 107400 107430 114560 114592 118140 118173 126016 137472 143200 143240 147675 157520 157564 171840 171888 179050 189024 196900 196955 211200 214800 214860 229120 229184 236280 236346 252032 268575 286400 286480 295350 315040 315128 343680 343776 358100 378048 393800 393910 429600 429720 458368 472560 472692 504064 537150 572800 572960 590700 590865 630080 630256 640999 687360 687552 716200 756096 787600 787820 859200 859440 916736 945120 945384 984775 1074300 1145600 1145920 1181400 1181730 1260160 1260512 1281998 1375104 1432400 1512192 1575200 1575640 1718400 1718880 1890240 1890768 1922997 1969550 2148600 2291840 2362800 2363460 2520320 2521024 2563996 2750208 2864800 2954325 3150400 3151280 3204995 3436800 3437760 3780480 3781536 3845994 3939100 4297200 4583680 4725600 4726920 5042048 5127992 5729600 5908650 6300800 6302560 6409990 6875520 7050989 7560960 7563072 7691988 7878200 8594400 9451200 9453840 9614985 10084096 10255984 11459200 11817300 12601600 12605120 12819980 13751040 14101978 15126144 15383976 15756400 16024975 17188800 18902400 18907680 19229970 20511968 21152967 22918400 23634600 25210240 25639960 28203956 30252288 30767952 31512800 32049950 34377600 35254945 37804800 37815360 38459940 41023936 42305934 47269200 48074925 50420480 51279920 56407912 61535904 63025600 64099900 68755200 70509890 75630720 76919880 82047872 84611868 94538400 96149850 102559840 105764835 112815824 123071808 126051200 128199800 141019780 151261440 153839760 164095744 169223736 176274725 189076800 192299700 205119680 211529670 225631648 246143616 252102400 256399600 282039560 307679520 338447472 352549450 378153600 384599400 410239360 423059340 451263296 492287232 512799200 528824175 564079120 615359040 676894944 705098900 756307200 769198800 820478720 846118680 902526592 1025598400 1057648350 1128158240 1230718080 1353789888 1410197800 1538397600 1692237360 1805053184 2051196800 2115296700 2256316480 2461436160 2707579776 2820395600 3076795200 3384474720 4102393600 4230593400 4512632960 5415159552 5640791200 6153590400 6768949440 8461186800 9025265920 11281582400 12307180800 13537898880 16922373600 22563164800 27075797760 33844747200 45126329600 67689494400 135378988800
- Sum of all divisors σ(n): 490254871680
- Sum of proper divisors (its aliquot sum) s(n): 354875882880
- 135378988800 is an abundant number, because the sum of its proper divisors (354875882880) is greater than itself. Its abundance is 219496894080
Bases of 135378988800
- Binary: 11111100001010011011101101111000000002
- Hexadecimal: 0x1F85376F00
- Base-36: 1Q6X5KAO
Squares and roots of 135378988800
- 135378988800 squared (1353789888002) is 18327470608510525440000
- 135378988800 cubed (1353789888003) is 2481154438241875608223875072000000
-
The
square root of 135378988800 is 367938.8383957313 -
The
cube root of 135378988800 is 5134.7238121505
Scales and comparisons
How big is 135378988800?- 135,378,988,800 seconds is equal to 4,304 years, 32 weeks, 6 days, 10 hours, 40 minutes.
-
To count from 1 to 135,378,988,800 would take you about eight thousand, six hundred nine 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 135378988800 cubic inches would be around 427.9 feet tall.
Recreational maths with 135378988800
- 135378988800 backwards is 008889873531
- 135378988800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135378988800's digits is 60
- More coming soon!
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