900345735856601397

Names of 900345735856601397

• Cardinal: 900345735856601397 can be written as Nine hundred quadrillion, three hundred forty-five trillion, seven hundred thirty-five billion, eight hundred fifty-six million, six hundred one thousand, three hundred ninety-seven.

Scientific notation

• Scientific notation: 9.00345735856601397 × 10¹⁷

Factors of 900345735856601397

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1052

Divisors of 900345735856601397

• Number of divisors d(n): 256
• Complete list of divisors:
  1 3 9 11 27 29 33 87 99 121 261 297 319 363 783 841 957 1009 1089 1331 2523 2871 3027 3267 3509 3993 7569 8613 9081 9251 10527 11099 11979 22707 24389 27243 27753 29261 31581 33297 35937 38599 73167 83259 87783 94743 99891 101761 115797 122089 219501 249777 263349 268279 299673 305283 321871 347391 366267 658503 790047 804837 848569 915849 965613 1018081 1042173 1098801 1119371 1342979 2414511 2545707 2747547 2896839 2951069 3054243 3296403 3358113 3540581 4028937 7243533 7637121 8690517 8853207 9162729 9334259 10074339 10621743 11198891 12086811 22911363 24608501 26559621 27488187 28002777 29524349 30223017 31865229 32461759 33596673 36260433 38946391 73825503 79678863 84008331 88573047 95595687 97385277 100790019 102676849 116839173 123187801 221476509 252024993 265719141 270693511 292155831 302370057 308030547 324767839 350517519 369563403 664429527 797157423 812080533 856206121 876467493 924091641 974303517 1027243729 1051552557 1108690209 1129445339 1355065811 2436241599 2568618363 2772274923 2922910551 2977628621 3081731187 3326070627 3388336017 3572446229 4065197433 7308724797 7705855089 8768731653 8932885863 9245193561 9418267331 10165008051 10717338687 11299681019 12195592299 23117565267 24829977509 26798657589 27735580683 28254801993 29790068141 30495024153 32152016061 32753914831 33899043057 36586776897 39296908519 74489932527 80395972767 84764405979 89370204423 96456048183 98261744493 101697129171 103600940641 117890725557 124296491209 223469797581 254293217937 268110613269 273129752599 294785233479 305091387513 310802821923 327690749551 353672176671 372889473627 670409392743 804331839807 819389257797 863911976089 884355700437 932408465769 983072248653 1061016530013 1118668420881 1139610347051 1367261403299 2458167773391 2591735928267 2797225397307 2949216745959 3004427278589 3356005262643 3418831041153 3604598245061 4101784209897 7374503320173 7775207784801 8847650237877 9013281835767 9503031736979 10256493123459 10813794735183 12305352629691 23325623354403 25053447306581 27039845507301 28509095210937 30769479370377 32441384205549 33048700064479 36916057889073 39650580695671 75160341919743 81119536521903 85527285632811 97324152616647 99146100193437 104533349106769 118951742087013 225481025759229 256581856898433 275587920372391 297438300580311 313600047320307 356855226261039 676443077277687 826763761117173 892314901740933 940800141960921 1070565678783117 1149866840174459 2480291283351519 2822400425882763 3031467124096301 3449600520523377 7440873850054557 9094401372288903 10348801561570131 27283204116866709 31046404684710393 33346138365059311 81849612350600127 100038415095177933 300115245285533799 900345735856601397
• Sum of all divisors σ(n): 1521032686872192000
• Sum of proper divisors (its aliquot sum) s(n): 620686951015590603
• 900345735856601397 is a deficient number, because the sum of its proper divisors (620686951015590603) is less than itself. Its deficiency is 279658784841010794

Bases of 900345735856601397

• Binary: 110001111110101010111010110100110000110001010011100100110101₂
• Hexadecimal: 0xC7EABAD30C53935
• Base-36: 6U95XD22ZZN9

Squares and roots of 900345735856601397

• 900345735856601397 squared (900345735856601397²) is 810622444075165054501749543342351609
• 900345735856601397 cubed (900345735856601397³) is 729840460912731194276033510078263713804708052534597773
• The square root of 900345735856601397 is 948865499.3499349467
• 900345735856601397 is a perfect cube number. Its cube root is 965613

Scales and comparisons

• 900,345,735,856,601,397 seconds is equal to 28,628,209,448 years, 1 week, 2 days, 49 minutes, 57 seconds.
• To count from 1 to 900,345,735,856,601,397 would take you about eighty-five billion, eight hundred eighty-four million, six hundred twenty-eight thousand, three hundred forty-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 900345735856601397 cubic inches would be around 80467.8 feet tall.

Recreational maths with 900345735856601397

• 900345735856601397 backwards is 793106658537543009
• The number of decimal digits it has is: 18
• The sum of 900345735856601397's digits is 81
• More coming soon!