2048340968400

Names of 2048340968400

• Cardinal: 2048340968400 can be written as Two trillion, forty-eight billion, three hundred forty million, nine hundred sixty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 2.0483409684 × 10¹²

Factors of 2048340968400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 19708

Divisors of 2048340968400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 53 60 68 75 80 85 97 100 102 106 120 136 150 159 170 194 200 204 212 240 255 265 272 291 300 318 340 388 400 408 424 425 485 510 530 582 600 636 680 776 795 816 848 850 901 970 1020 1060 1164 1200 1272 1275 1325 1360 1455 1552 1590 1649 1700 1802 1940 2040 2120 2328 2425 2544 2550 2650 2703 2910 3180 3298 3400 3604 3880 3975 4080 4240 4505 4656 4850 4947 5100 5141 5300 5406 5820 6360 6596 6800 7208 7275 7760 7950 8245 9010 9700 9894 10200 10282 10600 10812 11640 12720 13192 13515 14416 14550 15423 15900 16490 18020 19400 19531 19788 20400 20564 21200 21624 22525 23280 24735 25705 26384 27030 29100 30846 31800 32980 36040 38800 39062 39576 41128 41225 43248 45050 49470 51410 54060 58200 58593 61692 63600 65960 67575 72080 77115 78124 79152 82256 82450 87397 90100 97655 98940 102820 108120 116400 117186 123384 123675 128525 131920 135150 154230 156248 164900 174794 180200 195310 197880 205640 216240 234372 246768 247350 257050 262191 270300 292965 308460 312496 329800 332027 349588 360400 385575 390620 395760 411280 436985 468744 488275 494700 514100 524382 540600 585930 616920 659600 664054 699176 771150 781240 873970 937488 976550 989400 996081 1028200 1035143 1048764 1081200 1171860 1233840 1310955 1328108 1398352 1464825 1542300 1562480 1660135 1747940 1894507 1953100 1978800 1992162 2056400 2070286 2097528 2184925 2343720 2621910 2656216 2929650 3084600 3105429 3320270 3495880 3789014 3906200 3984324 4140572 4195056 4369850 4687440 4980405 5175715 5243820 5312432 5683521 5859300 6169200 6210858 6554775 6640540 6991760 7578028 7812400 7968648 8281144 8300675 8739700 9472535 9960810 10351430 10487640 11367042 11718600 12421716 13109550 13281080 15156056 15527145 15937296 16562288 16601350 17479400 17597431 18945070 19921620 20702860 20975280 22734084 23437200 24843432 24902025 25878575 26219100 26562160 28417605 30312112 31054290 32206619 33202700 34958800 35194862 37890140 39843240 41405720 45468168 47362675 49686864 49804050 51757150 52438200 52792293 56835210 62108580 64413238 66405400 70389724 75780280 77635725 79686480 82811440 87987155 90936336 94725350 96619857 99608100 100408871 103514300 104876400 105584586 113670420 124217160 128826476 132810800 140779448 142088025 151560560 155271450 161033095 175974310 189450700 193239714 199216200 200817742 207028600 211169172 227340840 248434320 257652952 263961465 281558896 284176050 301226613 310542900 322066190 351948620 378901400 386479428 398432400 401635484 414057200 422338344 439935775 454681680 483099285 502044355 515305904 527922930 568352100 602453226 621085800 644132380 703897240 757802800 772958856 803270968 805165475 844676688 879871550 966198570 1004088710 1055845860 1136704200 1204906452 1242171600 1288264760 1319807325 1407794480 1506133065 1545917712 1606541936 1610330950 1706950807 1759743100 1932397140 2008177420 2111691720 2273408400 2409812904 2415496425 2510221775 2576529520 2639614650 3012266130 3220661900 3413901614 3519486200 3864794280 4016354840 4223383440 4819625808 4830992850 5020443550 5120852421 5279229300 6024532260 6441323800 6827803228 7038972400 7530665325 7729588560 8032709680 8534754035 9661985700 10040887100 10241704842 10558458600 12049064520 12882647600 13655606456 15061330650 17069508070 19323971400 20081774200 20483409684 21116917200 24098129040 25604262105 27311212912 30122661300 34139016140 38647942800 40163548400 40966819368 42673770175 51208524210 60245322600 68278032280 81933638736 85347540350 102417048420 120490645200 128021310525 136556064560 170695080700 204834096840 256042621050 341390161400 409668193680 512085242100 682780322800 1024170484200 2048340968400
• Sum of all divisors σ(n): 7151916498048
• Sum of proper divisors (its aliquot sum) s(n): 5103575529648
• 2048340968400 is an abundant number, because the sum of its proper divisors (5103575529648) is greater than itself. Its abundance is 3055234561248

Bases of 2048340968400

• Binary: 11101110011101010101000101100001111010000₂
• Hexadecimal: 0x1DCEAA2C3D0
• Base-36: Q4ZTBQHC

Squares and roots of 2048340968400

• 2048340968400 squared (2048340968400²) is 4195700722825849798560000
• 2048340968400 cubed (2048340968400³) is 8594225681709681160935335325504000000
• The square root of 2048340968400 is 1431202.6300981983
• The cube root of 2048340968400 is 12699.9131339255

Scales and comparisons

• 2,048,340,968,400 seconds is equal to 65,130 years, 47 weeks, 1 day, 2 hours, 20 minutes.
• To count from 1 to 2,048,340,968,400 would take you about one hundred sixty-two thousand, eight hundred twenty-seven 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 2048340968400 cubic inches would be around 1058.3 feet tall.

Recreational maths with 2048340968400

• 2048340968400 backwards is 0048690438402
• 2048340968400 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 2048340968400's digits is 48
• More coming soon!