6400974795120640
6,400,974,795,120,640 is an even composite number composed of six prime numbers multiplied together.
6400974795120640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 6400974795120640:
213 × 5 × 7 × 149 × 19031 × 7873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 149 × 19031 × 7873)See below for interesting mathematical facts about the number 6400974795120640 from the Numbermatics database.
Names of 6400974795120640
- Cardinal: 6400974795120640 can be written as Six quadrillion, four hundred trillion, nine hundred seventy-four billion, seven hundred ninety-five million, one hundred twenty thousand, six hundred forty.
Scientific notation
- Scientific notation: 6.40097479512064 × 1015
Factors of 6400974795120640
Divisors of 6400974795120640
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 149 160 224 256 280 298 320 448 512 560 596 640 745 896 1024 1043 1120 1192 1280 1490 1792 2048 2086 2240 2384 2560 2980 3584 4096 4172 4480 4768 5120 5215 5960 7168 7873 8192 8344 8960 9536 10240 10430 11920 14336 15746 16688 17920 19031 19072 20480 20860 23840 28672 31492 33376 35840 38062 38144 39365 40960 41720 47680 55111 57344 62984 66752 71680 76124 76288 78730 83440 95155 95360 110222 125968 133217 133504 143360 152248 152576 157460 166880 190310 190720 220444 251936 266434 267008 275555 286720 304496 305152 314920 333760 380620 381440 440888 503872 532868 534016 551110 608992 610304 629840 666085 667520 761240 762880 881776 1007744 1065736 1068032 1102220 1173077 1217984 1220608 1259680 1332170 1335040 1522480 1525760 1763552 2015488 2131472 2136064 2204440 2346154 2435968 2519360 2664340 2670080 2835619 3044960 3051520 3527104 4030976 4262944 4272128 4408880 4692308 4871936 5038720 5328680 5340160 5671238 5865385 6089920 6103040 7054208 8061952 8211539 8525888 8544256 8817760 9384616 9743872 10077440 10657360 10680320 11342476 11730770 12179840 14108416 14178095 16123904 16423078 17051776 17635520 18769232 19487744 19849333 20154880 21314720 21360640 22684952 23461540 24359680 28216832 28356190 32247808 32846156 34103552 35271040 37538464 38975488 39698666 40309760 41057695 42629440 42721280 45369904 46923080 48719360 56433664 56712380 64495616 65692312 68207104 70542080 75076928 77950976 79397332 80619520 82115390 85258880 90739808 93846160 97438720 99246665 112867328 113424760 131384624 136414208 141084160 149831063 150153856 155901952 158794664 161239040 164230780 170517760 181479616 187692320 194877440 198493330 225734656 226849520 262769248 272828416 282168320 299662126 300307712 317589328 322478080 328461560 341035520 362959232 375384640 389754880 396986660 451469312 453699040 525538496 545656832 564336640 599324252 600615424 635178656 656923120 682071040 725918464 749155315 750769280 779509760 793973320 907398080 1048817441 1051076992 1091313664 1128673280 1198648504 1201230848 1270357312 1313846240 1364142080 1451836928 1498310630 1501538560 1587946640 1814796160 2097634882 2102153984 2257346560 2397297008 2402461696 2540714624 2627692480 2728284160 2903673856 2996621260 3003077120 3175893280 3629592320 4195269764 4204307968 4794594016 4804923392 5081429248 5244087205 5255384960 5456568320 5807347712 5993242520 6006154240 6351786560 7259184640 8390539528 8408615936 9589188032 9609846784 10162858496 10488174410 10510769920 11614695424 11986485040 12012308480 12703573120 14518369280 16781079056 16817231872 19178376064 20325716992 20976348820 21021539840 22324828387 23229390848 23972970080 24024616960 25407146240 29036738560 33562158112 33634463744 38356752128 40651433984 41952697640 42043079680 44649656774 47945940160 48049233920 50814292480 58073477120 67124316224 67268927488 76713504256 81302867968 83905395280 84086159360 89299313548 95891880320 101628584960 111624141935 116146954240 134248632448 153427008512 156273798709 162605735936 167810790560 168172318720 178598627096 191783760640 203257169920 223248283870 268497264896 306854017024 312547597418 335621581120 336344637440 357197254192 383567521280 406514339840 446496567740 536994529792 613708034048 625095194836 671243162240 714394508384 767135042560 781368993545 813028679680 892993135480 1073989059584 1227416068096 1250190389672 1342486324480 1428789016768 1534270085120 1562737987090 1785986270960 2147978119168 2500380779344 2684972648960 2857578033536 3068540170240 3125475974180 3571972541920 4295956238336 5000761558688 5369945297920 5715156067072 6137080340480 6250951948360 7143945083840 8591912476672 10001523117376 10739890595840 11430312134144 12501903896720 14287890167680 20003046234752 21479781191680 22860624268288 25003807793440 28575780335360 40006092469504 42959562383360 45721248536576 50007615586880 57151560670720 80012184939008 91442497073152 100015231173760 114303121341440 160024369878016 182884994146304 200030462347520 228606242682880 320048739756032 400060924695040 457212485365760 640097479512064 800121849390080 914424970731520 1280194959024128 1600243698780160 3200487397560320 6400974795120640
- Sum of all divisors σ(n): 17676886246156800
- Sum of proper divisors (its aliquot sum) s(n): 11275911451036160
- 6400974795120640 is an abundant number, because the sum of its proper divisors (11275911451036160) is greater than itself. Its abundance is 4874936655915520
Bases of 6400974795120640
- Binary: 101101011110110100111000101001110000100100000000000002
- Hexadecimal: 0x16BDA714E12000
- Base-36: 1R0YF84QR5S
Squares and roots of 6400974795120640
- 6400974795120640 squared (64009747951206402) is 40972478327769719223552154009600
- 6400974795120640 cubed (64009747951206403) is 262263801069680641099646447110537119891718144000
-
The
square root of 6400974795120640 is 80006092.2375330115 -
The
cube root of 6400974795120640 is 185672.9791121153
Scales and comparisons
How big is 6400974795120640?- 6,400,974,795,120,640 seconds is equal to 203,531,198 years, 50 weeks, 3 days, 10 minutes, 40 seconds.
-
To count from 1 to 6,400,974,795,120,640 would take you about six hundred ten million, five hundred ninety-three thousand, five hundred ninety-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 6400974795120640 cubic inches would be around 15472.7 feet tall.
Recreational maths with 6400974795120640
- 6400974795120640 backwards is 0460215974790046
- 6400974795120640 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 6400974795120640's digits is 64
- More coming soon!
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