4048105984000

Names of 4048105984000

• Cardinal: 4048105984000 can be written as Four trillion, forty-eight billion, one hundred five million, nine hundred eighty-four thousand.

Scientific notation

• Scientific notation: 4.048105984 × 10¹²

Factors of 4048105984000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 927

Divisors of 4048105984000

• Number of divisors d(n): 832
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 23 25 26 31 32 40 46 50 52 62 64 65 80 92 100 104 115 124 125 128 130 155 160 184 200 208 230 248 250 256 260 299 310 320 325 368 400 403 416 460 496 500 512 520 575 598 620 640 650 713 736 775 800 806 832 853 920 992 1000 1024 1040 1150 1196 1240 1280 1300 1426 1472 1495 1550 1600 1612 1625 1664 1706 1840 1984 2000 2015 2048 2080 2300 2392 2480 2560 2600 2852 2875 2944 2990 3100 3200 3224 3250 3328 3412 3565 3680 3875 3968 4000 4030 4096 4160 4265 4600 4784 4960 5120 5200 5704 5750 5888 5980 6200 6400 6448 6500 6656 6824 7130 7360 7475 7750 7936 8000 8060 8320 8530 9200 9269 9568 9920 10075 10240 10400 11089 11408 11500 11776 11960 12400 12800 12896 13000 13312 13648 14260 14720 14950 15500 15872 16000 16120 16640 17060 17825 18400 18538 19136 19619 19840 20150 20480 20800 21325 22178 22816 23000 23552 23920 24800 25600 25792 26000 26443 26624 27296 28520 29440 29900 31000 31744 32000 32240 33280 34120 35650 36800 37076 37375 38272 39238 39680 40300 41600 42650 44356 45632 46000 46345 47104 47840 49600 50375 51200 51584 52000 52886 53248 54592 55445 57040 58880 59800 62000 63488 64000 64480 66560 68240 71300 73600 74152 74750 76544 78476 79360 80600 83200 85300 88712 89125 91264 92000 92690 94208 95680 98095 99200 100750 102400 103168 104000 105772 106625 109184 110890 114080 117760 119600 124000 126976 128000 128960 132215 133120 136480 142600 147200 148304 149500 153088 156952 158720 161200 166400 170600 177424 178250 182528 184000 185380 191360 196190 198400 201500 206336 208000 211544 213250 218368 221780 228160 231725 235520 239200 248000 255047 256000 257920 264430 266240 272960 277225 285200 294400 296608 299000 306176 313904 317440 322400 332800 341200 343759 354848 356500 365056 368000 370760 382720 392380 396800 403000 412672 416000 423088 426500 436736 443560 456320 463450 471040 478400 490475 496000 510094 512000 515840 528860 545920 554450 570400 588800 593216 598000 608189 612352 627808 634880 644800 661075 665600 682400 687518 709696 713000 730112 736000 741520 765440 784760 793600 806000 825344 832000 846176 853000 873472 887120 912640 926900 956800 980950 992000 1020188 1031680 1057720 1091840 1108900 1140800 1158625 1177600 1186432 1196000 1216378 1224704 1255616 1275235 1289600 1322150 1331200 1364800 1375036 1386125 1419392 1426000 1460224 1472000 1483040 1530880 1569520 1587200 1612000 1650688 1664000 1692352 1706000 1718795 1746944 1774240 1825280 1853800 1913600 1961900 1984000 2040376 2063360 2115440 2183680 2217800 2281600 2317250 2355200 2372864 2392000 2432756 2452375 2511232 2550470 2579200 2644300 2729600 2750072 2772250 2838784 2852000 2920448 2944000 2966080 3040945 3061760 3139040 3174400 3224000 3305375 3328000 3384704 3412000 3437590 3493888 3548480 3650560 3707600 3827200 3923800 3968000 4080752 4126720 4230880 4367360 4435600 4563200 4634500 4745728 4784000 4865512 4904750 5022464 5100940 5158400 5288600 5459200 5500144 5544500 5677568 5704000 5888000 5932160 6081890 6123520 6278080 6376175 6448000 6610750 6656000 6769408 6824000 6875180 7096960 7301120 7415200 7654400 7847600 7906457 7936000 8161504 8253440 8461760 8593975 8734720 8871200 9126400 9269000 9491456 9568000 9731024 9809500 10044928 10201880 10316800 10577200 10918400 11000288 11089000 11355136 11408000 11776000 11864320 12163780 12556160 12752350 12896000 13221500 13538816 13648000 13750360 14193920 14602240 14830400 15204725 15308800 15695200 15812914 15872000 16323008 16923520 17187950 17469440 17742400 18252800 18538000 18982912 19136000 19462048 19619000 20089856 20403760 20633600 21154400 21836800 22000576 22178000 22710272 22816000 23728640 24327560 25112320 25504700 25792000 26443000 27077632 27296000 27500720 28387840 29660800 30409450 30617600 31390400 31625828 31880875 32646016 33847040 34375900 35484800 36505600 37076000 37965824 38272000 38924096 39238000 39532285 40179712 40807520 41267200 42308800 42969875 43673600 44001152 44356000 45420544 45632000 47457280 48655120 50224640 51009400 51584000 52886000 54155264 54592000 55001440 56775680 59321600 60818900 62780800 63251656 63761750 65292032 67694080 68751800 70969600 73011200 74152000 76023625 76544000 77848192 78476000 79064570 80359424 81615040 84617600 85939750 87347200 88002304 88712000 91264000 94914560 97310240 100449280 102018800 103168000 105772000 108310528 109184000 110002880 113551360 118643200 121637800 125561600 126503312 127523500 130584064 135388160 137503600 141939200 148304000 152047250 153088000 155696384 156952000 158129140 163230080 169235200 171879500 176004608 177424000 182528000 189829120 194620480 197661425 200898560 204037600 206336000 211544000 218368000 220005760 227102720 237286400 243275600 251123200 253006624 255047000 261168128 270776320 275007200 283878400 296608000 304094500 311392768 313904000 316258280 326460160 338470400 343759000 352009216 354848000 365056000 389240960 395322850 401797120 408075200 423088000 436736000 440011520 474572800 486551200 502246400 506013248 510094000 522336256 541552640 550014400 567756800 593216000 608189000 622785536 627808000 632516560 652920320 676940800 687518000 704018432 709696000 778481920 790645700 816150400 846176000 880023040 949145600 973102400 988307125 1004492800 1012026496 1020188000 1044672512 1100028800 1135513600 1186432000 1216378000 1245571072 1255616000 1265033120 1305840640 1353881600 1375036000 1408036864 1419392000 1556963840 1581291400 1632300800 1692352000 1760046080 1946204800 1976614250 2008985600 2024052992 2040376000 2200057600 2372864000 2432756000 2491142144 2511232000 2530066240 2611681280 2707763200 2750072000 2838784000 3113927680 3162582800 3264601600 3384704000 3520092160 3892409600 3953228500 4048105984 4080752000 4400115200 4745728000 4865512000 5022464000 5060132480 5223362560 5500144000 5677568000 6227855360 6325165600 6529203200 6769408000 7040184320 7784819200 7906457000 8096211968 8161504000 8800230400 9731024000 10044928000 10120264960 11000288000 12455710720 12650331200 13058406400 13538816000 15569638400 15812914000 16192423936 16323008000 17600460800 19462048000 20240529920 22000576000 25300662400 26116812800 31139276800 31625828000 32384847872 32646016000 35200921600 38924096000 40481059840 44001152000 50601324800 62278553600 63251656000 65292032000 77848192000 80962119680 88002304000 101202649600 126503312000 130584064000 155696384000 161924239360 176004608000 202405299200 253006624000 311392768000 404810598400 506013248000 809621196800 1012026496000 2024052992000 4048105984000
• Sum of all divisors σ(n): 11732988653568
• Sum of proper divisors (its aliquot sum) s(n): 7684882669568
• 4048105984000 is an abundant number, because the sum of its proper divisors (7684882669568) is greater than itself. Its abundance is 3636776685568

Bases of 4048105984000

• Binary: 111010111010000101111010110101000000000000₂
• Hexadecimal: 0x3AE85EB5000
• Base-36: 1FNO9S7WG

Squares and roots of 4048105984000

• 4048105984000 squared (4048105984000²) is 16387162057696608256000000
• 4048105984000 cubed (4048105984000³) is 66336968786539393137617403904000000000
• The square root of 4048105984000 is 2011990.5526617163
• The cube root of 4048105984000 is 15937.3933449431

Scales and comparisons

• 4,048,105,984,000 seconds is equal to 128,717 years, 12 weeks, 6 days, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 4,048,105,984,000 would take you about three hundred twenty-one thousand, seven hundred ninety-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 4048105984000 cubic inches would be around 1328.1 feet tall.

Recreational maths with 4048105984000

• 4048105984000 backwards is 0004895018404
• The number of decimal digits it has is: 13
• The sum of 4048105984000's digits is 43
• More coming soon!