137364979733400800

Names of 137364979733400800

• Cardinal: 137364979733400800 can be written as One hundred thirty-seven quadrillion, three hundred sixty-four trillion, nine hundred seventy-nine billion, seven hundred thirty-three million, four hundred thousand, eight hundred.

Scientific notation

• Scientific notation: 1.373649797334008 × 10¹⁷

Factors of 137364979733400800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 117

Divisors of 137364979733400800

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 31 32 40 50 62 79 80 100 124 155 158 160 200 248 310 316 395 400 496 620 632 775 790 800 961 992 1240 1264 1550 1580 1922 1975 2449 2480 2528 3100 3160 3844 3950 4805 4898 4960 6200 6241 6320 7688 7900 9610 9796 12245 12400 12482 12640 15376 15800 19220 19592 24025 24490 24800 24964 29791 30752 31205 31600 38440 39184 48050 48980 49928 59582 61225 62410 63200 75919 76880 78368 96100 97960 99856 119164 122450 124820 148955 151838 153760 156025 192200 193471 195920 199712 238328 244900 249640 297910 303676 312050 379595 384400 386942 391840 476656 489800 499280 595820 607352 624100 744775 759190 768800 773884 923521 953312 967355 979600 998560 1191640 1214704 1248200 1489550 1518380 1547768 1847042 1897975 1934710 1959200 2353489 2383280 2429408 2496400 2979100 3036760 3095536 3694084 3795950 3869420 4617605 4706978 4766560 4836775 4992800 5958200 5997601 6073520 6191072 7388168 7591900 7738840 9235210 9413956 9673550 11767445 11916400 11995202 12147040 14776336 15183800 15477680 18470420 18827912 19347100 23088025 23534890 23832800 23990404 28629151 29552672 29988005 30367600 30955360 36940840 37655824 38694200 46176050 47069780 47980808 57258302 58837225 59976010 60735200 72958159 73881680 75311648 77388400 92352100 94139560 95961616 114516604 117674450 119952020 143145755 145916318 147763360 149940025 154776800 184704200 185925631 188279120 191923232 229033208 235348900 239904040 286291510 291832636 299880050 364790795 369408400 371851262 376558240 458066416 470697800 479808080 572583020 583665272 599760100 715728775 729581590 738816800 743702524 887503681 916132832 929628155 941395600 959616160 1145166040 1167330544 1199520200 1431457550 1459163180 1487405048 1775007362 1823953975 1859256310 1882791200 2261702929 2290332080 2334661088 2399040400 2862915100 2918326360 2974810096 3550014724 3647907950 3718512620 4437518405 4523405858 4580664160 4648140775 4798080800 5725830200 5763694561 5836652720 5949620192 7100029448 7295815900 7437025240 8875036810 9046811716 9296281550 11308514645 11451660400 11527389122 11673305440 14200058896 14591631800 14874050480 17750073620 18093623432 18592563100 22187592025 22617029290 22903320800 23054778244 27512614111 28400117792 28818472805 29183263600 29748100960 35500147240 36187246864 37185126200 44375184050 45234058580 46109556488 55025228222 56542573225 57636945610 58366527200 70112790799 71000294480 72374493728 74370252400 88750368100 90468117160 92219112976 110050456444 113085146450 115273891220 137563070555 140225581598 142000588960 144092364025 148740504800 177500736200 178674531391 180936234320 184438225952 220100912888 226170292900 230547782440 275126141110 280451163196 288184728050 350563953995 355001472400 357349062782 361872468640 440201825776 452340585800 461095564880 550252282220 560902326392 576369456100 687815352775 701127907990 710002944800 714698125564 880403651552 893372656955 904681171600 922191129760 1100504564440 1121804652784 1152738912200 1375630705550 1402255815980 1429396251128 1752819769975 1786745313910 1809362343200 2173496514769 2201009128880 2243609305568 2305477824400 2751261411100 2804511631960 2858792502256 3505639539950 3573490627820 4346993029538 4402018257760 4466863284775 4610955648800 5502522822200 5538910473121 5609023263920 5717585004512 7011279079900 7146981255640 8693986059076 8933726569550 10867482573845 11005045644400 11077820946242 11218046527840 14022558159800 14293962511280 17387972118152 17867453139100 21734965147690 22010091288800 22155641892484 27694552365605 28045116319600 28587925022560 34775944236304 35734906278200 43469930295380 44311283784968 54337412869225 55389104731210 56090232639200 69551888472608 71469812556400 86939860590760 88622567569936 108674825738450 110778209462420 138472761828025 142939625112800 171706224666751 173879721181520 177245135139872 217349651476900 221556418924840 276945523656050 343412449333502 347759442363040 434699302953800 443112837849680 553891047312100 686824898667004 858531123333755 869398605907600 886225675699360 1107782094624200 1373649797334008 1717062246667510 1738797211815200 2215564189248400 2747299594668016 3434124493335020 4292655616668775 4431128378496800 5494599189336032 6868248986670040 8585311233337550 13736497973340080 17170622466675100 27472995946680160 34341244933350200 68682489866700400 137364979733400800
• Sum of all divisors σ(n): 350962188522551424
• Sum of proper divisors (its aliquot sum) s(n): 213597208789150624
• 137364979733400800 is an abundant number, because the sum of its proper divisors (213597208789150624) is greater than itself. Its abundance is 76232229055749824

Bases of 137364979733400800

• Binary: 111101000000001001011100010100101100101101000110011100000₂
• Hexadecimal: 0x1E804B8A5968CE0
• Base-36: 11KJTKIQLAZK

Squares and roots of 137364979733400800

• 137364979733400800 squared (137364979733400800²) is 18869137657157612519043133440640000
• 137364979733400800 cubed (137364979733400800³) is 2591958711862205296438015872723960646432128512000000
• The square root of 137364979733400800 is 370627818.3480036621
• The cube root of 137364979733400800 is 515971.0584760555

Scales and comparisons

• 137,364,979,733,400,800 seconds is equal to 4,367,781,457 years, 38 weeks, 4 days, 1 hour, 33 minutes, 20 seconds.
• To count from 1 to 137,364,979,733,400,800 would take you about thirteen billion, one hundred three million, three hundred forty-four thousand, three hundred seventy-three 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 137364979733400800 cubic inches would be around 42997.6 feet tall.

Recreational maths with 137364979733400800

• 137364979733400800 backwards is 008004337979463731
• The number of decimal digits it has is: 18
• The sum of 137364979733400800's digits is 74
• More coming soon!