6401664351648000
6,401,664,351,648,000 is an even composite number composed of five prime numbers multiplied together.
6401664351648000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 6401664351648000:
28 × 32 × 53 × 6547 × 3395143
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 6547 × 3395143)See below for interesting mathematical facts about the number 6401664351648000 from the Numbermatics database.
Names of 6401664351648000
- Cardinal: 6401664351648000 can be written as Six quadrillion, four hundred one trillion, six hundred sixty-four billion, three hundred fifty-one million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 6.401664351648 × 1015
Factors of 6401664351648000
Divisors of 6401664351648000
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 128 144 150 160 180 192 200 225 240 250 256 288 300 320 360 375 384 400 450 480 500 576 600 640 720 750 768 800 900 960 1000 1125 1152 1200 1280 1440 1500 1600 1800 1920 2000 2250 2304 2400 2880 3000 3200 3600 3840 4000 4500 4800 5760 6000 6400 6547 7200 8000 9000 9600 11520 12000 13094 14400 16000 18000 19200 19641 24000 26188 28800 32000 32735 36000 39282 48000 52376 57600 58923 65470 72000 78564 96000 98205 104752 117846 130940 144000 157128 163675 196410 209504 235692 261880 288000 294615 314256 327350 392820 419008 471384 491025 523760 589230 628512 654700 785640 818375 838016 942768 982050 1047520 1178460 1257024 1309400 1473075 1571280 1636750 1676032 1885536 1964100 2095040 2356920 2455125 2514048 2618800 2946150 3142560 3273500 3395143 3771072 3928200 4190080 4713840 4910250 5028096 5237600 5892300 6285120 6547000 6790286 7365375 7542144 7856400 8380160 9427680 9820500 10185429 10475200 11784600 12570240 13094000 13580572 14730750 15084288 15712800 16975715 18855360 19641000 20370858 20950400 23569200 25140480 26188000 27161144 29461500 30556287 31425600 33951430 37710720 39282000 40741716 41900800 47138400 50927145 52376000 54322288 58923000 61112574 62851200 67902860 75421440 78564000 81483432 84878575 94276800 101854290 104752000 108644576 117846000 122225148 125702400 135805720 152781435 157128000 162966864 169757150 188553600 203708580 209504000 217289152 235692000 244450296 254635725 271611440 305562870 314256000 325933728 339514300 377107200 407417160 424392875 434578304 471384000 488900592 509271450 543222880 611125740 628512000 651867456 679028600 763907175 814834320 848785750 869156608 942768000 977801184 1018542900 1086445760 1222251480 1273178625 1303734912 1358057200 1527814350 1629668640 1697571500 1885536000 1955602368 2037085800 2172891520 2444502960 2546357250 2607469824 2716114400 3055628700 3259337280 3395143000 3819535875 3911204736 4074171600 4345783040 4889005920 5092714500 5432228800 6111257400 6518674560 6790286000 7639071750 7822409472 8148343200 9778011840 10185429000 10864457600 12222514800 13037349120 13580572000 15278143500 16296686400 19556023680 20370858000 21728915200 22228001221 24445029600 27161144000 30556287000 32593372800 39112047360 40741716000 44456002442 48890059200 54322288000 61112574000 65186745600 66684003663 81483432000 88912004884 97780118400 108644576000 111140006105 122225148000 133368007326 162966864000 177824009768 195560236800 200052010989 222280012210 244450296000 266736014652 325933728000 333420018315 355648019536 400104021978 444560024420 488900592000 533472029304 555700030525 666840036630 711296039072 800208043956 889120048840 977801184000 1000260054945 1066944058608 1111400061050 1333680073260 1422592078144 1600416087912 1667100091575 1778240097680 2000520109890 2133888117216 2222800122100 2667360146520 2778500152625 2845184156288 3200832175824 3334200183150 3556480195360 4001040219780 4267776234432 4445600244200 5001300274725 5334720293040 5557000305250 5690368312576 6401664351648 6668400366300 7112960390720 8002080439560 8335500457875 8535552468864 8891200488400 10002600549450 10669440586080 11114000610500 12803328703296 13336800732600 14225920781440 16004160879120 16671000915750 17071104937728 17782400976800 20005201098900 21338881172160 22228001221000 25006501373625 25606657406592 26673601465200 28451841562880 32008321758240 33342001831500 35564801953600 40010402197800 42677762344320 44456002442000 50013002747250 51213314813184 53347202930400 64016643516480 66684003663000 71129603907200 80020804395600 85355524688640 88912004884000 100026005494500 106694405860800 128033287032960 133368007326000 142259207814400 160041608791200 177824009768000 200052010989000 213388811721600 256066574065920 266736014652000 320083217582400 355648019536000 400104021978000 426777623443200 533472029304000 640166435164800 711296039072000 800208043956000 1066944058608000 1280332870329600 1600416087912000 2133888117216000 3200832175824000 6401664351648000
- Sum of all divisors σ(n): 23038580688928896
- Sum of proper divisors (its aliquot sum) s(n): 16636916337280896
- 6401664351648000 is an abundant number, because the sum of its proper divisors (16636916337280896) is greater than itself. Its abundance is 10235251985632896
Bases of 6401664351648000
- Binary: 101101011111001000111101000011010011010111001000000002
- Hexadecimal: 0x16BE47A1A6B900
- Base-36: 1R17804W8W0
Squares and roots of 6401664351648000
- 6401664351648000 squared (64016643516480002) is 40981306471160808200315904000000
- 6401664351648000 cubed (64016643516480003) is 262348568720391642037622993288943009792000000000
-
The
square root of 6401664351648000 is 80010401.5216021773 -
The
cube root of 6401664351648000 is 185679.6461913015
Scales and comparisons
How big is 6401664351648000?- 6,401,664,351,648,000 seconds is equal to 203,553,124 years, 38 weeks, 1 day, 8 hours.
-
To count from 1 to 6,401,664,351,648,000 would take you about six hundred ten million, six hundred fifty-nine thousand, three hundred seventy-four 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 6401664351648000 cubic inches would be around 15473.3 feet tall.
Recreational maths with 6401664351648000
- 6401664351648000 backwards is 0008461534661046
- The number of decimal digits it has is: 16
- The sum of 6401664351648000's digits is 54
- More coming soon!
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