138528555955200
138,528,555,955,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138528555955200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
138528555955200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138528555955200:
210 × 33 × 52 × 17 × 41 × 421 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 41 × 421 × 683)See below for interesting mathematical facts about the number 138528555955200 from the Numbermatics database.
Names of 138528555955200
- Cardinal: 138528555955200 can be written as One hundred thirty-eight trillion, five hundred twenty-eight billion, five hundred fifty-five million, nine hundred fifty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.385285559552 × 1014
Factors of 138528555955200
Divisors of 138528555955200
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 41 45 48 50 51 54 60 64 68 72 75 80 82 85 90 96 100 102 108 120 123 128 135 136 144 150 153 160 164 170 180 192 200 204 205 216 225 240 246 255 256 270 272 288 300 306 320 328 340 360 369 384 400 408 410 421 425 432 450 459 480 492 510 512 540 544 576 600 612 615 640 656 675 680 683 697 720 738 765 768 800 816 820 842 850 864 900 918 960 984 1020 1024 1025 1080 1088 1107 1152 1200 1224 1230 1263 1275 1280 1312 1350 1360 1366 1394 1440 1476 1530 1536 1600 1632 1640 1684 1700 1728 1800 1836 1845 1920 1968 2040 2049 2050 2091 2105 2160 2176 2214 2295 2304 2400 2448 2460 2526 2550 2560 2624 2700 2720 2732 2788 2880 2952 3060 3072 3075 3200 3264 3280 3368 3400 3415 3456 3485 3600 3672 3690 3789 3825 3840 3936 4080 4098 4100 4182 4210 4320 4352 4428 4590 4608 4800 4896 4920 5052 5100 5120 5248 5400 5440 5464 5535 5576 5760 5904 6120 6147 6150 6273 6315 6400 6528 6560 6736 6800 6830 6912 6970 7157 7200 7344 7380 7578 7650 7680 7872 8160 8196 8200 8364 8420 8640 8704 8856 9180 9216 9225 9600 9792 9840 10104 10200 10245 10455 10496 10525 10800 10880 10928 11070 11152 11367 11475 11520 11611 11808 12240 12294 12300 12546 12630 12800 13056 13120 13472 13600 13660 13824 13940 14314 14400 14688 14760 15156 15300 15360 15744 16320 16392 16400 16728 16840 17075 17261 17280 17408 17425 17712 18360 18441 18450 18819 18945 19200 19584 19680 20208 20400 20490 20910 20992 21050 21471 21600 21760 21856 22140 22304 22734 22950 23040 23222 23616 24480 24588 24600 25092 25260 25600 26112 26240 26944 27200 27320 27648 27675 27880 28003 28628 28800 29376 29520 30312 30600 30735 31365 31488 31575 32640 32784 32800 33456 33680 34150 34522 34560 34833 34850 35424 35785 36720 36882 36900 37638 37890 38400 39168 39360 40416 40800 40980 41820 41984 42100 42942 43200 43520 43712 44280 44608 45468 45900 46080 46444 47232 48960 49176 49200 50184 50520 51225 51783 52224 52275 52480 53888 54400 54640 55350 55760 56006 56835 57256 57600 58055 58752 59040 60624 61200 61470 62730 62976 63150 64413 65280 65568 65600 66912 67360 68300 69044 69120 69666 69700 70848 71570 73440 73764 73800 75276 75780 76800 78336 78720 80832 81600 81960 83640 84009 84200 85884 86305 86400 87040 87424 88560 89216 90936 91800 92205 92888 94095 94464 94725 97920 98352 98400 100368 101040 102450 103566 104499 104550 104960 107355 107776 108800 109280 110700 111520 112012 113670 114512 115200 116110 117504 118080 121248 122400 122940 125460 125952 126300 128826 130560 131136 131200 133824 134720 136600 138088 138240 139332 139400 140015 141696 143140 146880 147528 147600 150552 151560 153675 155349 156672 156825 157440 161664 163200 163920 167280 168018 168400 171768 172610 172800 174165 174848 177120 178432 178925 181872 183600 184410 185776 188190 188928 189450 193239 195840 196704 196800 200736 202080 204900 207132 208998 209100 209920 214710 215552 217600 218560 221400 223040 224024 227340 229024 230400 232220 235008 236160 242496 244800 245880 250920 252027 252600 257652 258915 261120 262272 262400 267648 269440 273200 276176 278664 278800 280030 283392 284175 286280 287543 290275 293437 293760 295056 295200 301104 303120 307350 310698 313497 313650 314880 322065 323328 326400 327840 334560 336036 336800 343536 345220 345600 348330 349696 354240 356864 357850 363744 367200 368820 371552 376380 377856 378900 386478 391680 393408 393600 401472 404160 409800 414264 417996 418200 420045 429420 431104 431525 435200 437120 442800 446080 448048 454680 458048 461025 464440 466047 470016 470475 472320 476051 484992 489600 491760 501840 504054 505200 515304 517830 522495 524544 524800 535296 536775 538880 546400 552352 557328 557600 560060 566784 568350 572560 575086 580550 586874 587520 590112 590400 602208 606240 614700 621396 626994 627300 629760 644130 646656 652800 655680 669120 672072 673600 687072 690440 691200 696660 699392 700075 708480 713728 715700 727488 734400 737640 743104 752760 756081 757800 772956 776745 783360 786816 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4946918400 4968743040 5005548544 5010436775 5070591360 5092961616 5141350800 5279289480 5305168350 5411271717 5484107520 5520825600 5631242112 5633990400 5658846240 5865877200 5965401600 6012524130 6036102656 6093452800 6210928800 6256935680 6338239200 6366202020 6413359072 6451891200 6580929024 6599111850 6624990720 6760788480 6790615488 6855134400 7039052640 7073557800 7215028956 7312143360 7361100800 7508322816 7511987200 7545128320 7821169600 7949988864 7957752525 8016698840 8025523200 8112946176 8226161280 8281238400 8446863168 8450985600 8488269360 8798815800 9018786195 9054153984 9140179200 9385403520 9431410400 9620038608 9677836800 9937486080 10020873550 10141182720 10185923232 10282701600 10558578960 10610336700 10822543434 10968215040 11041651200 11262484224 11267980800 11317692480 11731754400 11930803200 12025048260 12072205312 12186905600 12421857600 12513871360 12676478400 12732404040 12826718144 13161858048 13198223700 13249981440 13521576960 13581230976 13710268800 14078105280 14147115600 14430057912 15016645632 15031310325 15090256640 15642339200 15915505050 16033397680 16452322560 16562476800 16893726336 16901971200 16976538720 17597631600 18037572390 18108307968 18280358400 18770807040 18862820800 19240077216 19355673600 19874972160 20041747100 20282365440 20371846464 20565403200 21117157920 21220673400 21645086868 21936430080 22083302400 22524968448 22535961600 22635384960 23463508800 24050096520 24843715200 25027742720 25352956800 25464808080 25653436288 26396447400 27056358585 27162461952 27420537600 28156210560 28294231200 28860115824 30062620650 30180513280 31284678400 31831010100 32066795360 32904645120 33124953600 33787452672 33803942400 33953077440 35195263200 36075144780 36216615936 36560716800 37541614080 37725641600 38480154432 39749944320 40083494200 40564730880 40743692928 41130806400 42234315840 42441346800 43290173736 45049936896 45093930975 45270769920 46927017600 48100193040 49687430400 50705913600 50929616160 51306872576 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288601158240 301805132800 307841235456 320667953600 325949543424 329046451200 337874526720 339530774400 346321389888 360751447800 375416140800 384801544320 407436929280 422343158400 432901737360 452707699200 461761853184 481001930400 509296161600 513068725760 541127171700 543249239040 563124211200 577202316480 615682470912 641335907200 675749053440 679061548800 692642779776 721502895600 769603088640 814873858560 844686316800 865803474720 905415398400 923523706368 962003860800 1018592323200 1026137451520 1082254343400 1126248422400 1154404632960 1282671814400 1358123097600 1385285559552 1443005791200 1539206177280 1629747717120 1689372633600 1731606949440 1847047412736 1924007721600 2037184646400 2164508686800 2308809265920 2565343628800 2716246195200 2770571119104 2886011582400 3078412354560 3378745267200 3463213898880 3848015443200 4074369292800 4329017373600 4617618531840 5130687257600 5541142238208 5772023164800 6926427797760 7696030886400 8148738585600 8658034747200 9235237063680 11544046329600 13852855595520 15392061772800 17316069494400 23088092659200 27705711191040 34632138988800 46176185318400 69264277977600 138528555955200
- Sum of all divisors σ(n): 553898100752640
- Sum of proper divisors (its aliquot sum) s(n): 415369544797440
- 138528555955200 is an abundant number, because the sum of its proper divisors (415369544797440) is greater than itself. Its abundance is 276840988842240
Bases of 138528555955200
- Binary: 111110111111101101100010101111001110100000000002
- Hexadecimal: 0x7DFDB15E7400
- Base-36: 1D3R51IIO0
Squares and roots of 138528555955200
- 138528555955200 squared (1385285559552002) is 19190160815032977384407040000
- 138528555955200 cubed (1385285559552003) is 2658385266254582244929086780612804608000000
-
The
square root of 138528555955200 is 11769815.4596917959 -
The
cube root of 138528555955200 is 51742.3841179815
Scales and comparisons
How big is 138528555955200?- 138,528,555,955,200 seconds is equal to 4,404,779 years, 30 weeks, 2 days.
-
To count from 1 to 138,528,555,955,200 would take you about eleven million, eleven thousand, nine hundred forty-eight 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 138528555955200 cubic inches would be around 4311.9 feet tall.
Recreational maths with 138528555955200
- 138528555955200 backwards is 002559555825831
- The number of decimal digits it has is: 15
- The sum of 138528555955200's digits is 63
- More coming soon!
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"Number 138528555955200 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138528555955200 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138528555955200/
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The information we have on file for 138528555955200 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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