46728368142065664

Names of 46728368142065664

• Cardinal: 46728368142065664 can be written as Forty-six quadrillion, seven hundred twenty-eight trillion, three hundred sixty-eight billion, one hundred forty-two million, sixty-five thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 4.6728368142065664 × 10¹⁶

Factors of 46728368142065664

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 823

Divisors of 46728368142065664

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 751 768 804 1024 1072 1502 1536 1608 2048 2144 2253 3004 3072 3216 4096 4288 4489 4506 6008 6144 6432 8192 8576 8978 9012 12016 12288 12864 13467 17152 17956 18024 24032 24576 25728 26934 34304 35912 36048 48064 50317 51456 53868 68608 71824 72096 96128 100634 102912 107736 137216 143648 144192 150951 192256 201268 205824 215472 274432 287296 288384 301902 384512 402536 411648 430944 548864 564001 574592 576768 603804 769024 805072 823296 861888 1128002 1149184 1153536 1207608 1538048 1610144 1646592 1692003 1723776 2256004 2298368 2307072 2415216 3076096 3220288 3371239 3384006 3447552 4512008 4596736 4614144 4830432 6152192 6440576 6742478 6768012 6895104 9024016 9193472 9228288 9660864 10113717 12881152 13484956 13536024 13790208 18048032 18386944 18456576 19321728 20227434 25762304 26969912 27072048 27580416 36096064 36773888 37788067 38643456 40454868 51524608 53939824 54144096 55160832 72192128 75576134 77286912 80909736 103049216 107879648 108288192 110321664 113364201 144384256 151152268 154573824 161819472 206098432 215759296 216576384 226728402 288768512 302304536 309147648 323638944 412196864 423564751 431518592 433152768 453456804 577537024 604609072 618295296 647277888 847129502 863037184 866305536 906913608 1155074048 1209218144 1236590592 1270694253 1294555776 1694259004 1726074368 1732611072 1813827216 2310148096 2418436288 2531800489 2541388506 2589111552 3388518008 3452148736 3465222144 3627654432 4620296192 4836872576 5063600978 5082777012 5178223104 6777036016 6904297472 6930444288 7255308864 7595401467 9673745152 10127201956 10165554024 10356446208 13554072032 13808594944 13860888576 14510617728 15190802934 19347490304 20254403912 20331108048 20712892416 27108144064 27617189888 28378838317 29021235456 30381605868 38694980608 40508807824 40662216096 41425784832 54216288128 56757676634 58042470912 60763211736 77389961216 81017615648 81324432192 82851569664 85136514951 108432576256 113515353268 116084941824 121526423472 154779922432 162035231296 162648864384 170273029902 216865152512 227030706536 232169883648 243052846944 309559844864 324070462592 325297728768 340546059804 433730305024 454061413072 464339767296 486105693888 648140925184 650595457536 681092119608 867460610048 908122826144 928679534592 972211387776 1296281850368 1301190915072 1362184239216 1734921220096 1816245652288 1901382167239 1944422775552 2592563700736 2602381830144 2724368478432 3469842440192 3632491304576 3802764334478 3888845551104 5185127401472 5204763660288 5448736956864 5704146501717 7264982609152 7605528668956 7777691102208 10370254802944 10409527320576 10897473913728 11408293003434 14529965218304 15211057337912 15555382204416 20740509605888 21794947827456 22816586006868 29059930436608 30422114675824 31110764408832 43589895654912 45633172013736 58119860873216 60844229351648 62221528817664 87179791309824 91266344027472 116239721746432 121688458703296 174359582619648 182532688054944 232479443492864 243376917406592 348719165239296 365065376109888 486753834813184 697438330478592 730130752219776 973507669626368 1460261504439552 1947015339252736 2920523008879104 3894030678505472 5841046017758208 7788061357010944 11682092035516416 15576122714021888 23364184071032832 46728368142065664
• Sum of all divisors σ(n): 126657507067975296
• Sum of proper divisors (its aliquot sum) s(n): 79929138925909632
• 46728368142065664 is an abundant number, because the sum of its proper divisors (79929138925909632) is greater than itself. Its abundance is 33200770783843968

Bases of 46728368142065664

• Binary: 10100110000000110011010000001000000010101010000000000000₂
• Hexadecimal: 0xA60334080AA000
• Base-36: CS3TNZ12NEO

Squares and roots of 46728368142065664

• 46728368142065664 squared (46728368142065664²) is 2183540389220417275295356887760896
• 46728368142065664 cubed (46728368142065664³) is 102033279160561006818975767914531516674453163474944
• The square root of 46728368142065664 is 216167453.9380654869
• The cube root of 46728368142065664 is 360186.0358989787

Scales and comparisons

• 46,728,368,142,065,664 seconds is equal to 1,485,817,566 years, 30 weeks, 2 days, 20 hours, 54 minutes, 24 seconds.
• To count from 1 to 46,728,368,142,065,664 would take you about four billion, four hundred fifty-seven million, four hundred fifty-two thousand, six hundred ninety-nine 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 46728368142065664 cubic inches would be around 30015.5 feet tall.

Recreational maths with 46728368142065664

• 46728368142065664 backwards is 46656024186382764
• The number of decimal digits it has is: 17
• The sum of 46728368142065664's digits is 78
• More coming soon!