135348947200
135,348,947,200 is an even composite number composed of six prime numbers multiplied together.
135348947200 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 135348947200:
28 × 52 × 19 × 61 × 71 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 61 × 71 × 257)See below for interesting mathematical facts about the number 135348947200 from the Numbermatics database.
Names of 135348947200
- Cardinal: 135348947200 can be written as One hundred thirty-five billion, three hundred forty-eight million, nine hundred forty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.353489472 × 1011
Factors of 135348947200
Divisors of 135348947200
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 50 61 64 71 76 80 95 100 122 128 142 152 160 190 200 244 256 257 284 304 305 320 355 380 400 475 488 514 568 608 610 640 710 760 800 950 976 1028 1136 1159 1216 1220 1280 1285 1349 1420 1520 1525 1600 1775 1900 1952 2056 2272 2318 2432 2440 2570 2698 2840 3040 3050 3200 3550 3800 3904 4112 4331 4544 4636 4864 4880 4883 5140 5396 5680 5795 6080 6100 6400 6425 6745 7100 7600 7808 8224 8662 9088 9272 9760 9766 10280 10792 11360 11590 12160 12200 12850 13490 14200 15200 15616 15677 16448 17324 18176 18247 18544 19520 19532 20560 21584 21655 22720 23180 24320 24400 24415 25700 26980 28400 28975 30400 31354 32896 33725 34648 36494 37088 39040 39064 41120 43168 43310 45440 46360 48800 48830 51400 53960 56800 57950 60800 62708 65792 67450 69296 72988 74176 78080 78128 78385 82240 82289 86336 86620 90880 91235 92720 97600 97660 102800 107920 108275 113600 115900 121600 122075 125416 134900 138592 145976 148352 156256 156770 164480 164578 172672 173240 182470 185440 195200 195320 205600 215840 216550 227200 231800 244150 250832 269800 277184 291952 296704 297863 312512 313540 328960 329156 345344 346480 346693 364940 370880 390400 390640 391925 411200 411445 431680 433100 454400 456175 463600 488300 501664 539600 554368 583904 595726 625024 627080 658312 692960 693386 729880 741760 781280 783850 822400 822890 863360 866200 912350 927200 976600 1003328 1079200 1108736 1113067 1167808 1191452 1250048 1254160 1316624 1385920 1386772 1459760 1483520 1489315 1562560 1567700 1644800 1645780 1726720 1732400 1733465 1824700 1854400 1953200 2006656 2057225 2158400 2226134 2335616 2382904 2508320 2633248 2771840 2773544 2919520 2978630 3125120 3135400 3291560 3464800 3466930 3649400 3708800 3906400 4013312 4114450 4316800 4452268 4671232 4765808 5016640 5266496 5543680 5547088 5565335 5839040 5957260 6250240 6270800 6583120 6929600 6933860 7298800 7417600 7446575 7812800 8228900 8633600 8667325 8904536 9531616 10033280 10532992 11094176 11130670 11678080 11914520 12541600 13166240 13859200 13867720 14597600 14893150 15625600 16457800 17334650 17809072 19063232 20066560 21065984 21148273 22188352 22261340 23356160 23829040 25083200 26332480 27718400 27735440 27826675 29195200 29786300 31251200 32915600 34669300 35618144 38126464 42296546 44376704 44522680 47658080 50166400 52664960 55470880 55653350 58390400 59572600 65831200 69338600 71236288 76252928 84593092 88753408 89045360 95316160 100332800 105329920 105741365 110941760 111306700 116780800 119145200 131662400 138677200 142472576 169186184 178090720 190632320 211482730 221883520 222613400 238290400 263324800 277354400 284945152 338372368 356181440 381264640 422965460 443767040 445226800 476580800 526649600 528706825 554708800 676744736 712362880 845930920 890453600 953161600 1057413650 1109417600 1353489472 1424725760 1691861840 1780907200 1906323200 2114827300 2218835200 2706978944 3383723680 3561814400 4229654600 5413957888 6767447360 7123628800 8459309200 13534894720 16918618400 27069789440 33837236800 67674473600 135348947200
- Sum of all divisors σ(n): 364885395840
- Sum of proper divisors (its aliquot sum) s(n): 229536448640
- 135348947200 is an abundant number, because the sum of its proper divisors (229536448640) is greater than itself. Its abundance is 94187501440
Bases of 135348947200
- Binary: 11111100000110110110100001001000000002
- Hexadecimal: 0x1F836D0900
- Base-36: 1Q6F9O1S
Squares and roots of 135348947200
- 135348947200 squared (1353489472002) is 18319337508148387840000
- 135348947200 cubed (1353489472003) is 2479503045129355715521282048000000
-
The
square root of 135348947200 is 367898.0119544003 -
The
cube root of 135348947200 is 5134.3439729751
Scales and comparisons
How big is 135348947200?- 135,348,947,200 seconds is equal to 4,303 years, 35 weeks, 1 day, 17 hours, 46 minutes, 40 seconds.
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To count from 1 to 135,348,947,200 would take you about eight thousand, six hundred 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 135348947200 cubic inches would be around 427.9 feet tall.
Recreational maths with 135348947200
- 135348947200 backwards is 002749843531
- The number of decimal digits it has is: 12
- The sum of 135348947200's digits is 46
- More coming soon!
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