48838895206400

Names of 48838895206400

• Cardinal: 48838895206400 can be written as Forty-eight trillion, eight hundred thirty-eight billion, eight hundred ninety-five million, two hundred six thousand, four hundred.

Scientific notation

• Scientific notation: 4.88388952064 × 10¹³

Factors of 48838895206400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 30
• Sum of prime factors: 73

Divisors of 48838895206400

• Number of divisors d(n): 600
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 53 64 65 80 100 104 106 128 130 160 169 200 208 212 256 260 265 320 325 338 400 416 424 512 520 530 640 650 676 689 800 832 845 848 1024 1040 1060 1280 1300 1325 1352 1378 1600 1664 1690 1696 2048 2080 2120 2197 2560 2600 2650 2704 2756 3200 3328 3380 3392 3445 4096 4160 4225 4240 4394 5120 5200 5300 5408 5512 6400 6656 6760 6784 6890 8192 8320 8450 8480 8788 8957 10240 10400 10600 10816 10985 11024 12800 13312 13520 13568 13780 16384 16640 16900 16960 17225 17576 17914 20480 20800 21200 21632 21970 22048 25600 26624 27040 27136 27560 32768 33280 33800 33920 34450 35152 35828 40960 41600 42400 43264 43940 44096 44785 51200 53248 54080 54272 54925 55120 65536 66560 67600 67840 68900 70304 71656 81920 83200 84800 86528 87880 88192 89570 102400 106496 108160 108544 109850 110240 116441 131072 133120 135200 135680 137800 140608 143312 163840 166400 169600 173056 175760 176384 179140 204800 212992 216320 217088 219700 220480 223925 232882 262144 266240 270400 271360 275600 281216 286624 327680 332800 339200 346112 351520 352768 358280 409600 425984 432640 434176 439400 440960 447850 465764 524288 532480 540800 542720 551200 562432 573248 582205 655360 665600 678400 692224 703040 705536 716560 819200 851968 865280 868352 878800 881920 895700 931528 1048576 1064960 1081600 1085440 1102400 1124864 1146496 1164410 1310720 1331200 1356800 1384448 1406080 1411072 1433120 1638400 1703936 1730560 1736704 1757600 1763840 1791400 1863056 2097152 2129920 2163200 2170880 2204800 2249728 2292992 2328820 2621440 2662400 2713600 2768896 2812160 2822144 2866240 2911025 3276800 3407872 3461120 3473408 3515200 3527680 3582800 3726112 4194304 4259840 4326400 4341760 4409600 4499456 4585984 4657640 5242880 5324800 5427200 5537792 5624320 5644288 5732480 5822050 6553600 6815744 6922240 6946816 7030400 7055360 7165600 7452224 8388608 8519680 8652800 8683520 8819200 8998912 9171968 9315280 10485760 10649600 10854400 11075584 11248640 11288576 11464960 11644100 13107200 13631488 13844480 13893632 14060800 14110720 14331200 14904448 16777216 17039360 17305600 17367040 17638400 17997824 18343936 18630560 20971520 21299200 21708800 22151168 22497280 22577152 22929920 23288200 26214400 27262976 27688960 27787264 28121600 28221440 28662400 29808896 34078720 34611200 34734080 35276800 35995648 36687872 37261120 41943040 42598400 43417600 44302336 44994560 45154304 45859840 46576400 52428800 54525952 55377920 55574528 56243200 56442880 57324800 59617792 68157440 69222400 69468160 70553600 71991296 73375744 74522240 83886080 85196800 86835200 88604672 89989120 90308608 91719680 93152800 104857600 109051904 110755840 111149056 112486400 112885760 114649600 119235584 136314880 138444800 138936320 141107200 143982592 146751488 149044480 170393600 173670400 177209344 179978240 180617216 183439360 186305600 209715200 218103808 221511680 222298112 224972800 225771520 229299200 238471168 272629760 276889600 277872640 282214400 287965184 293502976 298088960 340787200 347340800 354418688 359956480 361234432 366878720 372611200 419430400 443023360 444596224 449945600 451543040 458598400 476942336 545259520 553779200 555745280 564428800 575930368 587005952 596177920 681574400 694681600 708837376 719912960 722468864 733757440 745222400 886046720 889192448 899891200 903086080 917196800 953884672 1090519040 1107558400 1111490560 1128857600 1151860736 1174011904 1192355840 1363148800 1389363200 1417674752 1439825920 1444937728 1467514880 1490444800 1772093440 1799782400 1806172160 1834393600 1907769344 2215116800 2222981120 2257715200 2303721472 2348023808 2384711680 2726297600 2778726400 2835349504 2879651840 2889875456 2935029760 2980889600 3544186880 3599564800 3612344320 3668787200 3815538688 4430233600 4445962240 4515430400 4607442944 4696047616 4769423360 5452595200 5557452800 5759303680 5779750912 5870059520 5961779200 7088373760 7199129600 7224688640 7337574400 7631077376 8860467200 9030860800 9214885888 9392095232 9538846720 11114905600 11518607360 11559501824 11740119040 11923558400 14176747520 14398259200 14449377280 14675148800 15262154752 17720934400 18061721600 18429771776 18784190464 19077693440 22229811200 23037214720 23480238080 23847116800 28796518400 28898754560 29350297600 30524309504 35441868800 36123443200 36859543552 37568380928 38155386880 46074429440 46960476160 47694233600 57593036800 57797509120 58700595200 61048619008 70883737600 72246886400 75136761856 76310773760 92148858880 93920952320 95388467200 115186073600 117401190400 122097238016 144493772800 150273523712 152621547520 184297717760 187841904640 190776934400 230372147200 234802380800 244194476032 288987545600 305243095040 375683809280 381553868800 460744294400 469604761600 488388952064 610486190080 751367618560 763107737600 921488588800 939209523200 976777904128 1220972380160 1526215475200 1878419046400 1953555808256 2441944760320 3052430950400 3756838092800 4883889520640 6104861900800 9767779041280 12209723801600 24419447603200 48838895206400
• Sum of all divisors σ(n): 133684879635720
• Sum of proper divisors (its aliquot sum) s(n): 84845984429320
• 48838895206400 is an abundant number, because the sum of its proper divisors (84845984429320) is greater than itself. Its abundance is 36007089222920

Bases of 48838895206400

• Binary: 1011000110101100110001000000000000000000000000₂
• Hexadecimal: 0x2C6B31000000
• Base-36: HB8A180ZK

Squares and roots of 48838895206400

• 48838895206400 squared (48838895206400²) is 2385237684981720898600960000
• 48838895206400 cubed (48838895206400³) is 116492373339178402066305125810438144000000
• The square root of 48838895206400 is 6988483.0404315929
• The cube root of 48838895206400 is 36552.9088708617

Scales and comparisons

• 48,838,895,206,400 seconds is equal to 1,552,925 years, 41 weeks, 3 days, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 48,838,895,206,400 would take you about three million, eight hundred eighty-two thousand, three hundred fourteen 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 48838895206400 cubic inches would be around 3046.1 feet tall.

Recreational maths with 48838895206400

• 48838895206400 backwards is 00460259883884
• 48838895206400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 48838895206400's digits is 65
• More coming soon!