128742538142400
128,742,538,142,400 is an even composite number composed of seven prime numbers multiplied together.
128742538142400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 128742538142400:
26 × 3 × 52 × 74 × 13 × 472 × 389
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 47 × 47 × 389)See below for interesting mathematical facts about the number 128742538142400 from the Numbermatics database.
Names of 128742538142400
- Cardinal: 128742538142400 can be written as One hundred twenty-eight trillion, seven hundred forty-two billion, five hundred thirty-eight million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.287425381424 × 1014
Factors of 128742538142400
Divisors of 128742538142400
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 47 48 49 50 52 56 60 64 65 70 75 78 80 84 91 94 96 98 100 104 105 112 120 130 140 141 147 150 156 160 168 175 182 188 192 195 196 200 208 210 224 235 240 245 260 273 280 282 294 300 312 320 325 329 336 343 350 364 376 389 390 392 400 416 420 448 455 470 480 490 520 525 546 560 564 588 600 611 624 637 650 658 672 686 700 705 728 735 752 778 780 784 800 832 840 910 940 960 975 980 987 1029 1040 1050 1092 1120 1128 1167 1175 1176 1200 1222 1225 1248 1274 1300 1316 1344 1365 1372 1400 1410 1456 1470 1504 1556 1560 1568 1600 1645 1680 1715 1820 1833 1880 1911 1945 1950 1960 1974 2058 2080 2100 2184 2209 2240 2256 2275 2303 2334 2350 2352 2400 2401 2444 2450 2496 2548 2600 2632 2723 2730 2744 2800 2820 2912 2940 3008 3055 3112 3120 3136 3185 3290 3360 3430 3525 3640 3666 3675 3760 3822 3890 3900 3920 3948 4116 4160 4200 4277 4368 4418 4459 4512 4550 4606 4668 4700 4704 4800 4802 4888 4900 4935 5057 5096 5145 5200 5264 5446 5460 5488 5600 5640 5824 5835 5880 6110 6224 6240 6370 6580 6627 6720 6825 6860 6909 7050 7203 7280 7332 7350 7520 7644 7780 7800 7840 7896 8169 8225 8232 8400 8554 8575 8736 8836 8918 9024 9100 9165 9212 9336 9400 9408 9555 9604 9725 9776 9800 9870 10114 10192 10290 10400 10528 10892 10920 10976 11045 11200 11280 11515 11670 11760 12005 12220 12448 12480 12740 12831 13160 13254 13377 13615 13650 13720 13818 14100 14406 14560 14664 14700 15040 15171 15275 15288 15463 15560 15600 15680 15792 15925 16121 16338 16450 16464 16800 17108 17150 17472 17672 17836 18200 18283 18330 18424 18672 18800 19061 19110 19208 19450 19552 19600 19740 20228 20384 20580 20800 21056 21385 21784 21840 21952 22090 22295 22560 23030 23340 23520 24010 24440 24675 24896 25285 25480 25662 25725 26320 26508 26754 27230 27300 27440 27636 28200 28717 28812 29120 29175 29328 29400 29939 30342 30550 30576 30926 31120 31200 31213 31584 31850 32242 32676 32900 32928 33135 33600 34216 34300 34545 35344 35399 35672 36015 36400 36566 36660 36848 37344 37600 38122 38220 38416 38900 39104 39200 39480 40456 40768 40845 41160 42770 43568 43680 44180 44590 45120 45825 46060 46389 46680 47040 47775 48020 48363 48880 49350 50570 50960 51324 51450 52640 53016 53508 54460 54600 54849 54880 55225 55272 56400 57183 57434 57575 57624 58350 58656 58800 59878 60025 60684 61100 61152 61852 62240 62400 62426 63168 63700 64155 64484 65352 65800 65856 66270 66885 68075 68432 68600 69090 70688 70798 71344 72030 72800 73132 73320 73696 74688 75200 75855 76244 76440 76832 77315 77800 78400 78960 80605 80912 81690 82320 85540 86151 87136 87360 88360 89180 89817 91415 91650 92120 92778 93360 93639 95305 95550 96040 96726 97760 98700 101140 101920 102648 102900 105280 106032 106197 106925 107016 108241 108920 109200 109698 109760 110450 110544 111475 112800 112847 114366 114868 115150 115248 116700 117312 117600 119756 120050 121368 122200 122304 123704 124480 124852 126425 127400 127981 128310 128968 130704 131600 132540 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164212421100 165054536080 165478840800 171200183700 175159915840 176844145800 182613529280 183917911632 187671338400 191581157950 195657352800 198065443296 202107595200 206318170100 210707918400 214570896904 218949894800 228266911600 229897389540 235792194400 245223882176 247581804120 262739873760 268213621130 273920293920 282950633280 287371736925 306529852720 309477255150 321856345356 328424842200 330109072160 330957681600 342400367400 353688291600 367835823264 375342676800 383162315900 391314705600 396130886592 402320431695 412636340200 429141793808 437899789600 456533823200 459794779080 471584388800 495163608240 525479747520 536427242260 547840587840 574743473850 613059705440 618954510300 643712690712 656849684400 660218144320 670534052825 684800734800 707376583200 735671646528 766324631800 804640863390 825272680400 858283587616 875799579200 913067646400 919589558160 990327216480 1072854484520 1149486947700 1226119410880 1237909020600 1287425381424 1313699368800 1341068105650 1369601469600 1414753166400 1532649263600 1609281726780 1650545360800 1716567175232 1839179116320 1980654432960 2011602158475 2145708969040 2298973895400 2475818041200 2574850762848 2627398737600 2682136211300 2739202939200 3065298527200 3218563453560 3301090721600 3678358232640 4023204316950 4291417938080 4597947790800 4951636082400 5149701525696 5364272422600 6130597054400 6437126907120 8046408633900 8582835876160 9195895581600 9903272164800 10728544845200 12874253814240 16092817267800 18391791163200 21457089690400 25748507628480 32185634535600 42914179380800 64371269071200 128742538142400
- Sum of all divisors σ(n): 543579058036560
- Sum of proper divisors (its aliquot sum) s(n): 414836519894160
- 128742538142400 is an abundant number, because the sum of its proper divisors (414836519894160) is greater than itself. Its abundance is 286093981751760
Bases of 128742538142400
- Binary: 111010100010111001101010100000011100010110000002
- Hexadecimal: 0x75173540E2C0
- Base-36: 19MVI76CAO
Squares and roots of 128742538142400
- 128742538142400 squared (1287425381424002) is 16574641127347318842677760000
- 128742538142400 cubed (1287425381424003) is 2133861367534103931835815741752193024000000
-
The
square root of 128742538142400 is 11346476.9044139865 -
The
cube root of 128742538142400 is 50494.1061830457
Scales and comparisons
How big is 128742538142400?- 128,742,538,142,400 seconds is equal to 4,093,614 years, 25 weeks, 1 day, 22 hours, 40 minutes.
-
To count from 1 to 128,742,538,142,400 would take you about ten million, two hundred thirty-four thousand and thirty-six 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 128742538142400 cubic inches would be around 4207.8 feet tall.
Recreational maths with 128742538142400
- 128742538142400 backwards is 004241835247821
- The number of decimal digits it has is: 15
- The sum of 128742538142400's digits is 51
- More coming soon!
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"Number 128742538142400 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 128742538142400 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/128742538142400/
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The information we have on file for 128742538142400 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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