4048198511780448

Names of 4048198511780448

• Cardinal: 4048198511780448 can be written as Four quadrillion, forty-eight trillion, one hundred ninety-eight billion, five hundred eleven million, seven hundred eighty thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 4.048198511780448 × 10¹⁵

Factors of 4048198511780448

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 52132463

Divisors of 4048198511780448

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 23 24 32 36 38 46 48 57 69 72 76 92 96 114 138 144 152 171 184 207 228 276 288 304 342 368 414 437 456 552 608 617 684 736 828 874 912 1104 1234 1311 1368 1656 1748 1824 1851 2208 2468 2622 2736 3312 3496 3702 3933 4936 5244 5472 5553 6624 6992 7404 7866 9872 10488 11106 11723 13984 14191 14808 15732 19744 20976 22212 23446 28382 29616 31464 35169 41952 42573 44424 46892 56764 59232 62928 70338 85146 88848 93784 105507 113528 125856 127719 140676 170292 177696 187568 211014 227056 255438 269629 281352 340584 375136 422028 454112 510876 539258 562704 681168 808887 844056 1021752 1078516 1125408 1362336 1617774 1688112 2043504 2157032 2426661 3235548 3376224 4087008 4314064 4853322 6471096 8628128 9706644 12942192 19413288 25884384 38826576 52131799 77653152 104263598 156395397 208527196 312790794 417054392 469186191 625581588 834108784 938372382 990504181 1199031377 1251163176 1668217568 1876744764 1981008362 2398062754 2502326352 2971512543 3597094131 3753489528 3962016724 4796125508 5004652704 5943025086 7194188262 7506979056 7924033448 8914537629 9592251016 10791282393 11886050172 14388376524 15013958112 15848066896 17829075258 19184502032 21582564786 22781596163 23772100344 28776753048 31696133792 32165319983 35658150516 38369004064 43165129572 45563192326 47544200688 57553506096 64330639966 68344788489 71316301032 86330259144 91126384652 95088401376 96495959949 115107012192 128661279932 136689576978 142632602064 172660518288 182252769304 192991919898 205034365467 257322559864 273379153956 285265204128 289487879847 345321036576 364505538608 385983839796 410068730934 514645119728 546758307912 578975759694 611141079677 729011077216 739802359609 771967679592 820137461868 1029290239456 1093516615824 1157951519388 1222282159354 1479604719218 1543935359184 1640274923736 1833423239031 2187033231648 2219407078827 2315903038776 2444564318708 2959209438436 3087870718368 3280549847472 3666846478062 4438814157654 4631806077552 4889128637416 5500269717093 5918418876872 6561099694944 6658221236481 7333692956124 8877628315308 9263612155104 9778257274832 11000539434186 11836837753744 13316442472962 14056244832571 14667385912248 17755256630616 19556514549664 22001078868372 23673675507488 26632884945924 28112489665142 29334771824496 35510513261232 42168734497713 44002157736744 53265769891848 56224979330284 58669543648992 71021026522464 84337468995426 88004315473488 106531539783696 112449958660568 126506203493139 168674937990852 176008630946976 213063079567392 224899917321136 253012406986278 337349875981704 449799834642272 506024813972556 674699751963408 1012049627945112 1349399503926816 2024099255890224 4048198511780448
• Sum of all divisors σ(n): 12665324887488000
• Sum of proper divisors (its aliquot sum) s(n): 8617126375707552
• 4048198511780448 is an abundant number, because the sum of its proper divisors (8617126375707552) is greater than itself. Its abundance is 4568927863927104

Bases of 4048198511780448

• Binary: 1110011000011101000010101010010001100110001001100000₂
• Hexadecimal: 0xE61D0AA466260
• Base-36: 13UYSQ0IXK0

Squares and roots of 4048198511780448

• 4048198511780448 squared (4048198511780448²) is 16387911190781433984634955080704
• 4048198511780448 cubed (4048198511780448³) is 66341517693711550496067010626698199054569275392
• The square root of 4048198511780448 is 63625454.9043104917
• The cube root of 4048198511780448 is 159375.1477130911

Scales and comparisons

• 4,048,198,511,780,448 seconds is equal to 128,720,190 years, 40 weeks, 1 day, 21 hours, 40 minutes, 48 seconds.
• To count from 1 to 4,048,198,511,780,448 would take you about three hundred eighty-six million, one hundred sixty thousand, five hundred seventy-two 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 4048198511780448 cubic inches would be around 13281.3 feet tall.

Recreational maths with 4048198511780448

• 4048198511780448 backwards is 8440871158918404
• 4048198511780448 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 4048198511780448's digits is 72
• More coming soon!