4137712481015136

Names of 4137712481015136

• Cardinal: 4137712481015136 can be written as Four quadrillion, one hundred thirty-seven trillion, seven hundred twelve billion, four hundred eighty-one million, fifteen thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 4.137712481015136 × 10¹⁵

Factors of 4137712481015136

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1515741

Divisors of 4137712481015136

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 83 92 96 108 138 144 166 184 207 216 249 276 288 332 368 414 432 498 552 621 664 736 747 828 864 996 1104 1242 1328 1494 1656 1657 1909 1992 2208 2241 2484 2656 2988 3312 3314 3818 3984 4482 4968 4971 5727 5976 6624 6628 7636 7968 8964 9936 9942 11454 11952 13256 14913 15272 17181 17928 19872 19884 22908 23904 26512 29826 30544 34362 35856 38111 39768 44739 45816 51543 53024 59652 61088 68724 71712 76222 79536 89478 91632 103086 114333 119304 137448 137531 152444 159072 178956 183264 206172 228666 238608 274896 275062 304888 342999 357912 412344 412593 457332 477216 549792 550124 609776 685998 715824 824688 825186 914664 1028997 1100248 1219552 1237779 1371996 1431648 1513973 1649376 1650372 1829328 2057994 2200496 2475558 2743992 3027946 3163213 3300744 3658656 3713337 4115988 4400992 4541919 4951116 5487984 6055892 6326426 6601488 7426674 8231976 9083838 9489639 9902232 10975968 12111784 12652852 13202976 13625757 14853348 16463952 18167676 18979278 19804464 24223568 25305704 27251514 28468917 29706696 32927904 34821379 36335352 37958556 39608928 40877271 48447136 50611408 54503028 56937834 59413392 69642758 72670704 75917112 81754542 85406751 101222816 104464137 109006056 113875668 118826784 125659759 139285516 145341408 151834224 163509084 170813502 208928274 218012112 227751336 251319518 278571032 303668448 313392411 327018168 341627004 376979277 417856548 436024224 455502672 502639036 557142064 626784822 654036336 683254008 753958554 835713096 911005344 940177233 1005278072 1114284128 1130937831 1253569644 1308072672 1366508016 1507917108 1671426192 1880354466 2010556144 2261875662 2507139288 2508653261 2733016032 2890174457 3015834216 3342852384 3392813493 3760708932 4021112288 4523751324 5014278576 5017306522 5780348914 6031668432 6785626986 7521417864 7525959783 8670523371 9047502648 10028557152 10034613044 11560697828 12063336864 13571253972 15042835728 15051919566 17341046742 18095005296 20069226088 22577879349 23121395656 26011570113 27142507944 30085671456 30103839132 34682093484 36190010592 40138452176 45155758698 46242791312 52023140226 54285015888 57699025003 60207678264 67733638047 69364186968 78034710339 80276904352 90311517396 92485582624 104046280452 108570031776 115398050006 120415356528 135467276094 138728373936 156069420678 173097075009 180623034792 208092560904 208218220663 230796100012 240830713056 270934552188 277456747872 312138841356 346194150018 361246069584 416185121808 416436441326 461592200024 519291225027 541869104376 624277682712 624654661989 692388300036 722492139168 832370243616 832872882652 923184400048 1038582450054 1083738208752 1248555365424 1249309323978 1384776600072 1557873675081 1665745765304 1846368800096 1873963985967 2077164900108 2167476417504 2497110730848 2498618647956 2769553200144 3115747350162 3331491530608 3747927971934 4154329800216 4789019075249 4997237295912 5539106400288 5621891957901 6231494700324 6662983061216 7495855943868 8308659600432 9578038150498 9994474591824 11243783915802 12462989400648 14367057225747 14991711887736 16617319200864 19156076300996 19988949183648 22487567831604 24925978801296 28734114451494 29983423775472 38312152601992 43101171677241 44975135663208 49851957602592 57468228902988 59966847550944 76624305203984 86202343354482 89950271326416 114936457805976 129303515031723 153248610407968 172404686708964 179900542652832 229872915611952 258607030063446 344809373417928 459745831223904 517214060126892 689618746835856 1034428120253784 1379237493671712 2068856240507568 4137712481015136
• Sum of all divisors σ(n): 12752461225405440
• Sum of proper divisors (its aliquot sum) s(n): 8614748744390304
• 4137712481015136 is an abundant number, because the sum of its proper divisors (8614748744390304) is greater than itself. Its abundance is 4477036263375168

Bases of 4137712481015136

• Binary: 1110101100110011101001000010100111010001010101100000₂
• Hexadecimal: 0xEB33A429D1560
• Base-36: 14QP2VEMJC0

Squares and roots of 4137712481015136

• 4137712481015136 squared (4137712481015136²) is 17120664575548432193225061098496
• 4137712481015136 cubed (4137712481015136³) is 70840387497520453684905040018911124053362835456
• The square root of 4137712481015136 is 64325053.2919727631
• The cube root of 4137712481015136 is 160541.2979265523

Scales and comparisons

• 4,137,712,481,015,136 seconds is equal to 131,566,458 years, 5 weeks, 5 days, 11 hours, 45 minutes, 36 seconds.
• To count from 1 to 4,137,712,481,015,136 would take you about three hundred ninety-four million, six hundred ninety-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 4137712481015136 cubic inches would be around 13378.4 feet tall.

Recreational maths with 4137712481015136

• 4137712481015136 backwards is 6315101842177314
• 4137712481015136 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 4137712481015136's digits is 54
• More coming soon!