135164332800
135,164,332,800 is an even composite number composed of six prime numbers multiplied together.
135164332800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135164332800:
28 × 33 × 52 × 7 × 131 × 853
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 131 × 853)See below for interesting mathematical facts about the number 135164332800 from the Numbermatics database.
Names of 135164332800
- Cardinal: 135164332800 can be written as One hundred thirty-five billion, one hundred sixty-four million, three hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.351643328 × 1011
Factors of 135164332800
Divisors of 135164332800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 126 128 131 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 252 256 262 270 280 288 300 315 320 336 350 360 378 384 393 400 420 432 448 450 480 504 524 525 540 560 576 600 630 640 655 672 675 700 720 756 768 786 800 840 853 864 896 900 917 945 960 1008 1048 1050 1080 1120 1152 1179 1200 1260 1280 1310 1344 1350 1400 1440 1512 1572 1575 1600 1680 1706 1728 1792 1800 1834 1890 1920 1965 2016 2096 2100 2160 2240 2304 2358 2400 2520 2559 2620 2688 2700 2751 2800 2880 3024 3144 3150 3200 3275 3360 3412 3456 3537 3600 3668 3780 3840 3930 4032 4192 4200 4265 4320 4480 4585 4716 4725 4800 5040 5118 5240 5376 5400 5502 5600 5760 5895 5971 6048 6288 6300 6400 6550 6720 6824 6912 7074 7200 7336 7560 7677 7860 8064 8253 8384 8400 8530 8640 8960 9170 9432 9450 9600 9825 10080 10236 10480 10800 11004 11200 11520 11790 11942 12096 12576 12600 12795 13100 13440 13648 13755 14148 14400 14672 15120 15354 15720 16128 16506 16768 16800 17060 17280 17685 17913 18340 18864 18900 19200 19650 20160 20472 20960 21325 21600 22008 22400 22925 23031 23580 23884 24192 24759 25152 25200 25590 26200 26880 27296 27510 28296 28800 29344 29475 29855 30240 30708 31440 33012 33536 33600 34120 34560 35370 35826 36680 37728 37800 38385 39300 40320 40944 41265 41920 42650 43200 44016 44800 45850 46062 47160 47768 48384 49518 50304 50400 51180 52400 53739 54592 55020 56592 57600 58688 58950 59710 60480 61416 62880 63975 66024 67200 68240 68775 70740 71652 73360 75456 75600 76770 78600 80640 81888 82530 83840 85300 86400 88032 88425 89565 91700 92124 94320 95536 99036 100608 100800 102360 104800 107478 109184 110040 111743 113184 115155 117376 117900 119420 120960 122832 123795 125760 127950 132048 134400 136480 137550 141480 143304 146720 149275 150912 151200 153540 157200 161217 163776 165060 167680 170600 172800 176064 176850 179130 183400 184248 188640 191072 191925 198072 201600 204720 206325 209600 214956 218368 220080 223486 226368 230310 234752 235800 238840 241920 245664 247590 251520 255900 264096 268695 272960 275100 282960 286608 293440 298550 301824 302400 307080 314400 322434 327552 330120 335229 341200 352128 353700 358260 366800 368496 377280 382144 383850 396144 403200 409440 412650 419200 429912 440160 446972 447825 452736 460620 471600 477680 491328 495180 503040 511800 528192 537390 545920 550200 558715 565920 573216 575775 586880 597100 604800 614160 618975 628800 644868 655104 660240 670458 682400 704256 707400 716520 733600 736992 754560 764288 767700 782201 792288 806085 818880 825300 838400 859824 880320 893944 895650 905472 921240 943200 955360 982656 990360 1005687 1023600 1056384 1074780 1091840 1100400 1117430 1131840 1146432 1151550 1173760 1194200 1209600 1228320 1237950 1257600 1289736 1320480 1340916 1343475 1364800 1414800 1433040 1467200 1473984 1509120 1528576 1535400 1564402 1584576 1612170 1637760 1650600 1676145 1719648 1760640 1787888 1791300 1842480 1886400 1910720 1965312 1980720 2011374 2047200 2112768 2149560 2200800 2234860 2263680 2292864 2303100 2346603 2388400 2456640 2475900 2515200 2579472 2640960 2681832 2686950 2729600 2793575 2829600 2866080 2934400 2947968 3017061 3070800 3128804 3169152 3224340 3275520 3301200 3352290 3439296 3521280 3575776 3582600 3684960 3772800 3821440 3911005 3961440 4022748 4030425 4094400 4299120 4401600 4469720 4527360 4585728 4606200 4693206 4776800 4913280 4951800 5028435 5158944 5281920 5363664 5373900 5459200 5587150 5659200 5732160 5868800 5895936 6034122 6141600 6257608 6338304 6448680 6602400 6704580 6878592 7039809 7151552 7165200 7369920 7545600 7642880 7822010 7922880 8045496 8060850 8188800 8380725 8598240 8803200 8939440 9212400 9386412 9553600 9826560 9903600 10056870 10317888 10563840 10727328 10747800 11174300 11318400 11464320 11733015 12068244 12283200 12515216 12897360 13204800 13409160 13757184 14079618 14303104 14330400 14739840 15085305 15644020 15845760 16090992 16121700 16377600 16761450 17196480 17606400 17878880 18424800 18772824 19107200 19555025 19807200 20113740 20635776 21119427 21454656 21495600 22348600 22636800 22928640 23466030 24136488 24566400 25030432 25142175 25794720 26409600 26818320 28159236 28606208 28660800 29479680 30170610 31288040 31691520 32181984 32243400 33522900 34392960 35199045 35757760 36849600 37545648 38214400 39110050 39614400 40227480 41271552 42238854 42909312 42991200 44697200 46932060 48272976 49132800 50060864 50284350 51589440 52819200 53636640 56318472 57321600 58665075 60341220 62576080 64363968 64486800 67045800 68785920 70398090 71515520 73699200 75091296 75426525 78220100 79228800 80454960 84477708 85818624 85982400 89394400 93864120 96545952 100121728 100568700 103178880 105597135 107273280 112636944 114643200 117330150 120682440 125152160 128727936 128973600 134091600 140796180 143031040 147398400 150182592 150853050 156440200 158457600 160909920 168955416 171964800 175995225 178788800 187728240 193091904 200243456 201137400 206357760 211194270 214546560 225273888 234660300 241364880 250304320 257455872 257947200 268183200 281592360 300365184 301706100 312880400 321819840 337910832 343929600 351990450 357577600 375456480 386183808 402274800 422388540 429093120 450547776 469320600 482729760 500608640 515894400 527985675 536366400 563184720 600730368 603412200 625760800 643639680 675821664 703980900 715155200 750912960 772367616 804549600 844777080 901095552 938641200 965459520 1001217280 1031788800 1055971350 1072732800 1126369440 1206824400 1251521600 1287279360 1351643328 1407961800 1501825920 1609099200 1689554160 1802191104 1877282400 1930919040 2111942700 2145465600 2252738880 2413648800 2503043200 2703286656 2815923600 3003651840 3218198400 3379108320 3754564800 3861838080 4223885400 4505477760 4827297600 5006086400 5406573312 5631847200 6436396800 6758216640 7509129600 8447770800 9010955520 9654595200 11263694400 13516433280 15018259200 16895541600 19309190400 22527388800 27032866560 33791083200 45054777600 67582166400 135164332800
- Sum of all divisors σ(n): 571431759360
- Sum of proper divisors (its aliquot sum) s(n): 436267426560
- 135164332800 is an abundant number, because the sum of its proper divisors (436267426560) is greater than itself. Its abundance is 301103093760
Bases of 135164332800
- Binary: 11111011110000110110000001011000000002
- Hexadecimal: 0x1F786C0B00
- Base-36: 1Q3DCQO0
Squares and roots of 135164332800
- 135164332800 squared (1351643328002) is 18269396861269155840000
- 135164332800 cubed (1351643328003) is 2469370837411859610332823552000000
-
The
square root of 135164332800 is 367647.0220197629 -
The
cube root of 135164332800 is 5132.0085155237
Scales and comparisons
How big is 135164332800?- 135,164,332,800 seconds is equal to 4,297 years, 42 weeks.
-
To count from 1 to 135,164,332,800 would take you about eight thousand, five hundred ninety-five 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 135164332800 cubic inches would be around 427.7 feet tall.
Recreational maths with 135164332800
- 135164332800 backwards is 008233461531
- 135164332800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135164332800's digits is 36
- More coming soon!
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