48137968942161920

Names of 48137968942161920

• Cardinal: 48137968942161920 can be written as Forty-eight quadrillion, one hundred thirty-seven trillion, nine hundred sixty-eight billion, nine hundred forty-two million, one hundred sixty-one thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.813796894216192 × 10¹⁶

Factors of 48137968942161920

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 241

Divisors of 48137968942161920

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 173 244 256 305 320 346 488 512 610 640 692 865 976 1024 1220 1280 1384 1730 1952 2048 2440 2560 2768 3460 3721 3904 4096 4880 5120 5536 6920 7442 7808 8192 9760 10240 10553 11072 13840 14884 15616 18605 19520 20480 21106 22144 27680 29768 29929 31232 37210 39040 40960 42212 44288 52765 55360 59536 59858 62464 74420 78080 84424 88576 105530 110720 119072 119716 124928 148840 149645 156160 168848 177152 211060 221440 226981 238144 239432 249856 297680 299290 312320 337696 354304 422120 442880 453962 476288 478864 499712 595360 598580 624640 643733 675392 708608 844240 885760 907924 952576 957728 1134905 1190720 1197160 1249280 1287466 1350784 1417216 1688480 1771520 1815848 1825669 1905152 1915456 2269810 2381440 2394320 2498560 2574932 2701568 3218665 3376960 3543040 3631696 3651338 3810304 3830912 4539620 4762880 4788640 5149864 5177717 5403136 6437330 6753920 7086080 7263392 7302676 7620608 7661824 9079240 9128345 9525760 9577280 10299728 10355434 10806272 12874660 13507840 14526784 14605352 15241216 15323648 18158480 18256690 19051520 19154560 20599456 20710868 21612544 25749320 25888585 27015680 29053568 29210704 30482432 30647296 36316960 36513380 38103040 38309120 39267713 41198912 41421736 43225088 51498640 51777170 54031360 58107136 58421408 61294592 72633920 73026760 76206080 76618240 78535426 82397824 82843472 86450176 102997280 103554340 108062720 111365809 116214272 116842816 122589184 145267840 146053520 152412160 153236480 157070852 164795648 165686944 196338565 205994560 207108680 216125440 222731618 232428544 233685632 245178368 290535680 292107040 306472960 314141704 315840737 329591296 331373888 392677130 411989120 414217360 432250880 445463236 464857088 467371264 556829045 581071360 584214080 612945920 628283408 631681474 659182592 662747776 785354260 823978240 828434720 890926472 929714176 934742528 1113658090 1162142720 1168428160 1225891840 1256566816 1263362948 1318365184 1325495552 1570708520 1579203685 1647956480 1656869440 1781852944 1859428352 1869485056 2227316180 2324285440 2336856320 2513133632 2526725896 2636730368 2650991104 3141417040 3158407370 3295912960 3313738880 3563705888 3738970112 4454632360 4648570880 4673712640 5026267264 5053451792 5273460736 5301982208 6282834080 6316814740 6591825920 6627477760 6793314349 7127411776 7477940224 8909264720 9297141760 9347425280 10052534528 10106903584 10603964416 12565668160 12633629480 13183651840 13254955520 13586628698 14254823552 14955880448 17818529440 18694850560 19266284957 20105069056 20213807168 21207928832 25131336320 25267258960 26367303680 26509911040 27173257396 28509647104 33966571745 35637058880 37389701120 38532569914 40210138112 40427614336 42415857664 50262672640 50534517920 53019822080 54346514792 57019294208 67933143490 71274117760 74779402240 77065139828 80420276224 80855228672 96331424785 100525345280 101069035840 106039644160 108693029584 114038588416 135866286980 142548235520 154130279656 160840552448 161710457344 192662849570 201050690560 202138071680 212079288320 217386059168 228077176832 271732573960 285096471040 308260559312 321681104896 323420914688 385325699140 402101381120 404276143360 434772118336 456154353664 543465147920 570192942080 616521118624 646841829376 770651398280 804202762240 808552286720 869544236672 912308707328 1086930295840 1140385884160 1175243382377 1233042237248 1293683658752 1541302796560 1608405524480 1617104573440 1739088473344 2173860591680 2280771768320 2350486764754 2466084474496 2587367317504 3082605593120 3234209146880 3478176946688 4347721183360 4561543536640 4700973529508 4932168948992 5876216911885 6165211186240 6468418293760 6956353893376 8695442366720 9401947059016 9864337897984 11752433823770 12330422372480 12936836587520 13912707786752 17390884733440 18803894118032 19728675795968 23504867647540 24660844744960 27825415573504 34781769466880 37607788236064 39457351591936 47009735295080 49321689489920 55650831147008 69563538933760 75215576472128 78914703183872 94019470590160 98643378979840 139127077867520 150431152944256 157829406367744 188038941180320 197286757959680 278254155735040 300862305888512 376077882360640 394573515919360 601724611777024 752155764721280 789147031838720 1203449223554048 1504311529442560 2406898447108096 3008623058885120 4813796894216192 6017246117770240 9627593788432384 12034492235540480 24068984471080960 48137968942161920
• Sum of all divisors σ(n): 118132312356635040
• Sum of proper divisors (its aliquot sum) s(n): 69994343414473120
• 48137968942161920 is an abundant number, because the sum of its proper divisors (69994343414473120) is greater than itself. Its abundance is 21856374472311200

Bases of 48137968942161920

• Binary: 10101011000001010011101001001011000000011010000000000000₂
• Hexadecimal: 0xAB053A4B01A000
• Base-36: D5ZHHN2MXA8

Squares and roots of 48137968942161920

• 48137968942161920 squared (48137968942161920²) is 2317264053876545599226203498086400
• 48137968942161920 cubed (48137968942161920³) is 111548385056297378153401453486881586502998949888000
• The square root of 48137968942161920 is 219403666.6561475677
• The cube root of 48137968942161920 is 363771.9885425035

Scales and comparisons

• 48,137,968,942,161,920 seconds is equal to 1,530,638,511 years, 44 weeks, 1 hour, 25 minutes, 20 seconds.
• To count from 1 to 48,137,968,942,161,920 would take you about four billion, five hundred ninety-one million, nine hundred fifteen thousand, five hundred thirty-five 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 48137968942161920 cubic inches would be around 30314.3 feet tall.

Recreational maths with 48137968942161920

• 48137968942161920 backwards is 02916124986973184
• 48137968942161920 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 48137968942161920's digits is 80
• More coming soon!