3427728094003200
3,427,728,094,003,200 is an even composite number composed of five prime numbers multiplied together.
3427728094003200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 3427728094003200:
217 × 3 × 52 × 13 × 51792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 5179 × 5179)See below for interesting mathematical facts about the number 3427728094003200 from the Numbermatics database.
Names of 3427728094003200
- Cardinal: 3427728094003200 can be written as Three quadrillion, four hundred twenty-seven trillion, seven hundred twenty-eight billion, ninety-four million, three thousand, two hundred.
Scientific notation
- Scientific notation: 3.4277280940032 × 1015
Factors of 3427728094003200
Divisors of 3427728094003200
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 192 195 200 208 240 256 260 300 312 320 325 384 390 400 416 480 512 520 600 624 640 650 768 780 800 832 960 975 1024 1040 1200 1248 1280 1300 1536 1560 1600 1664 1920 1950 2048 2080 2400 2496 2560 2600 3072 3120 3200 3328 3840 3900 4096 4160 4800 4992 5120 5179 5200 6144 6240 6400 6656 7680 7800 8192 8320 9600 9984 10240 10358 10400 12288 12480 12800 13312 15360 15537 15600 16384 16640 19200 19968 20480 20716 20800 24576 24960 25600 25895 26624 30720 31074 31200 32768 33280 38400 39936 40960 41432 41600 49152 49920 51200 51790 53248 61440 62148 62400 65536 66560 67327 76800 77685 79872 81920 82864 83200 98304 99840 102400 103580 106496 122880 124296 124800 129475 131072 133120 134654 153600 155370 159744 163840 165728 166400 196608 199680 201981 204800 207160 212992 245760 248592 249600 258950 266240 269308 307200 310740 319488 327680 331456 332800 336635 388425 393216 399360 403962 409600 414320 425984 491520 497184 499200 517900 532480 538616 614400 621480 638976 655360 662912 665600 673270 776850 798720 807924 819200 828640 851968 983040 994368 998400 1009905 1035800 1064960 1077232 1228800 1242960 1277952 1325824 1331200 1346540 1553700 1597440 1615848 1638400 1657280 1683175 1703936 1966080 1988736 1996800 2019810 2071600 2129920 2154464 2457600 2485920 2555904 2651648 2662400 2693080 3107400 3194880 3231696 3276800 3314560 3366350 3977472 3993600 4039620 4143200 4259840 4308928 4915200 4971840 5049525 5111808 5303296 5324800 5386160 6214800 6389760 6463392 6629120 6732700 7954944 7987200 8079240 8286400 8519680 8617856 9830400 9943680 10099050 10606592 10649600 10772320 12429600 12779520 12926784 13258240 13465400 15909888 15974400 16158480 16572800 17235712 19887360 20198100 21213184 21299200 21544640 24859200 25559040 25853568 26516480 26822041 26930800 31819776 31948800 32316960 33145600 34471424 39774720 40396200 42426368 42598400 43089280 49718400 51707136 53032960 53644082 53861600 63639552 63897600 64633920 66291200 68942848 79549440 80466123 80792400 84852736 86178560 99436800 103414272 106065920 107288164 107723200 127279104 127795200 129267840 132582400 134110205 137885696 159098880 160932246 161584800 169705472 172357120 198873600 206828544 212131840 214576328 215446400 254558208 258535680 265164800 268220410 275771392 318197760 321864492 323169600 339410944 344714240 348686533 397747200 402330615 413657088 424263680 429152656 430892800 509116416 517071360 530329600 536440820 551542784 636395520 643728984 646339200 670551025 678821888 689428480 697373066 795494400 804661230 827314176 848527360 858305312 861785600 1018232832 1034142720 1046059599 1060659200 1072881640 1103085568 1272791040 1287457968 1292678400 1341102050 1378856960 1394746132 1590988800 1609322460 1654628352 1697054720 1716610624 1723571200 1743432665 2011653075 2036465664 2068285440 2092119198 2121318400 2145763280 2206171136 2545582080 2574915936 2585356800 2682204100 2757713920 2789492264 3181977600 3218644920 3309256704 3394109440 3433221248 3447142400 3486865330 4023306150 4136570880 4184238396 4242636800 4291526560 4412342272 5091164160 5149831872 5170713600 5230297995 5364408200 5515427840 5578984528 6363955200 6437289840 6618513408 6866442496 6894284800 6973730660 8046612300 8273141760 8368476792 8485273600 8583053120 8717163325 8824684544 10182328320 10299663744 10341427200 10460595990 10728816400 11030855680 11157969056 12727910400 12874579680 13237026816 13732884992 13788569600 13947461320 16093224600 16546283520 16736953584 16970547200 17166106240 17434326650 20599327488 20682854400 20921191980 21457632800 22061711360 22315938112 25455820800 25749159360 26151489975 26474053632 27465769984 27577139200 27894922640 32186449200 33092567040 33473907168 34332212480 34868653300 41198654976 41365708800 41842383960 42915265600 44123422720 44631876224 50911641600 51498318720 52302979950 54931539968 55154278400 55789845280 64372898400 66185134080 66947814336 68664424960 69737306600 82397309952 82731417600 83684767920 85830531200 89263752448 102996637440 104605959900 109863079936 110308556800 111579690560 128745796800 132370268160 133895628672 137328849920 139474613200 164794619904 165462835200 167369535840 171661062400 178527504896 205993274880 209211919800 219726159872 220617113600 223159381120 257491593600 267791257344 274657699840 278949226400 329589239808 330925670400 334739071680 343322124800 357055009792 411986549760 418423839600 439452319744 446318762240 514983187200 535582514688 549315399680 557898452800 659178479616 661851340800 669478143360 686644249600 714110019584 823973099520 836847679200 878904639488 892637524480 1029966374400 1071165029376 1098630799360 1115796905600 1318356959232 1338956286720 1373288499200 1428220039168 1647946199040 1673695358400 1757809278976 1785275048960 2059932748800 2142330058752 2197261598720 2231593811200 2636713918464 2677912573440 2746576998400 2856440078336 3295892398080 3347390716800 3515618557952 3570550097920 4119865497600 4284660117504 4394523197440 4463187622400 5273427836928 5355825146880 5493153996800 5712880156672 6591784796160 6694781433600 7141100195840 8239730995200 8569320235008 8789046394880 8926375244800 10546855673856 10711650293760 10986307993600 11425760313344 13183569592320 13389562867200 14282200391680 16479461990400 17138640470016 17578092789760 17852750489600 21423300587520 21972615987200 22851520626688 26367139184640 26779125734400 28564400783360 32958923980800 34277280940032 35705500979200 42846601175040 43945231974400 45703041253376 52734278369280 53558251468800 57128801566720 65917847961600 68554561880064 71411001958400 85693202350080 87890463948800 107116502937600 114257603133440 131835695923200 137109123760128 142822003916800 171386404700160 214233005875200 228515206266880 263671391846400 285644007833600 342772809400320 428466011750400 571288015667200 685545618800640 856932023500800 1142576031334400 1713864047001600 3427728094003200
- Sum of all divisors σ(n): 12208538385830808
- Sum of proper divisors (its aliquot sum) s(n): 8780810291827608
- 3427728094003200 is an abundant number, because the sum of its proper divisors (8780810291827608) is greater than itself. Its abundance is 5353082197824408
Bases of 3427728094003200
- Binary: 11000010110110000000001000110110111000000000000000002
- Hexadecimal: 0xC2D80236E0000
- Base-36: XR10JPUP6O
Squares and roots of 3427728094003200
- 3427728094003200 squared (34277280940032002) is 11749319886418810295801610240000
- 3427728094003200 cubed (34277280940032003) is 40273473860108242924612169863032647712768000000
-
The
square root of 3427728094003200 is 58546802.5941912561 -
The
cube root of 3427728094003200 is 150777.1238520703
Scales and comparisons
How big is 3427728094003200?- 3,427,728,094,003,200 seconds is equal to 108,991,150 years, 37 weeks, 6 days, 18 hours, 40 minutes.
-
To count from 1 to 3,427,728,094,003,200 would take you about three hundred twenty-six million, nine hundred seventy-three thousand, four hundred fifty-two 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 3427728094003200 cubic inches would be around 12564.8 feet tall.
Recreational maths with 3427728094003200
- 3427728094003200 backwards is 0023004908277243
- The number of decimal digits it has is: 16
- The sum of 3427728094003200's digits is 51
- More coming soon!
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