4003968983040

Names of 4003968983040

• Cardinal: 4003968983040 can be written as Four trillion, three billion, nine hundred sixty-eight million, nine hundred eighty-three thousand and forty.

Scientific notation

• Scientific notation: 4.00396898304 × 10¹²

Factors of 4003968983040

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 253

Divisors of 4003968983040

• Number of divisors d(n): 1680
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 37 39 40 45 48 52 54 60 64 65 72 74 78 80 81 90 96 104 108 111 117 120 128 130 135 144 148 156 160 162 169 180 185 192 193 195 208 216 222 234 240 256 260 270 288 296 312 320 324 333 338 351 360 370 384 386 390 405 416 432 444 468 480 481 507 512 520 540 555 576 579 585 592 624 640 648 666 676 702 720 740 768 772 780 810 832 845 864 888 936 960 962 965 999 1014 1024 1040 1053 1080 1110 1152 1158 1170 1184 1248 1280 1296 1332 1352 1404 1440 1443 1480 1521 1536 1544 1560 1620 1664 1665 1690 1728 1737 1755 1776 1872 1920 1924 1930 1998 2028 2048 2080 2106 2160 2220 2304 2316 2340 2368 2405 2496 2509 2535 2560 2592 2664 2704 2808 2880 2886 2895 2960 2997 3042 3072 3088 3120 3240 3328 3330 3380 3456 3474 3510 3552 3744 3840 3848 3860 3996 4056 4096 4160 4212 4320 4329 4440 4563 4608 4632 4680 4736 4810 4992 4995 5018 5070 5120 5184 5211 5265 5328 5408 5616 5760 5772 5790 5920 5994 6084 6144 6176 6240 6253 6480 6656 6660 6760 6912 6948 7020 7104 7141 7215 7488 7527 7605 7680 7696 7720 7992 8112 8192 8320 8424 8640 8658 8685 8880 9126 9216 9264 9360 9472 9620 9984 9990 10036 10140 10240 10368 10422 10530 10656 10816 11232 11520 11544 11580 11840 11988 12168 12288 12352 12480 12506 12545 12960 12987 13312 13320 13520 13689 13824 13896 14040 14208 14282 14430 14976 14985 15054 15210 15360 15392 15440 15633 15984 16224 16640 16848 17280 17316 17370 17760 18252 18432 18528 18720 18759 18944 19240 19968 19980 20072 20280 20480 20736 20844 21060 21312 21423 21632 21645 22464 22581 22815 23040 23088 23160 23680 23976 24336 24576 24704 24960 25012 25090 25920 25974 26055 26624 26640 27040 27378 27648 27792 28080 28416 28564 28860 29952 29970 30108 30420 30720 30784 30880 31265 31266 31968 32448 32617 33280 33696 34560 34632 34740 35520 35705 36504 36864 37056 37440 37518 37635 37888 38480 38961 39936 39960 40144 40560 40960 41472 41688 42120 42624 42846 43264 43290 44928 45162 45630 46080 46176 46320 47360 47952 48672 49408 49920 50024 50180 51840 51948 52110 53248 53280 54080 54756 55296 55584 56160 56277 56832 57128 57720 59904 59940 60216 60840 61440 61568 61760 62530 62532 63936 64269 64896 64935 65234 66560 67392 67743 68445 69120 69264 69480 71040 71410 73008 73728 74112 74880 75036 75270 75776 76960 77922 78165 79872 79920 80288 81120 82944 83376 84240 85248 85692 86528 86580 89856 90324 91260 92160 92352 92640 92833 93795 94720 95904 97344 97851 98816 99840 100048 100360 103680 103896 104220 106496 106560 107115 108160 109512 110592 111168 112320 112554 112905 113664 114256 115440 119808 119880 120432 121680 122880 123136 123520 125060 125064 127872 128538 129792 129870 130468 133120 134784 135486 136890 138240 138528 138960 142080 142820 146016 148224 149760 150072 150540 151552 153920 155844 156330 159744 159840 160576 162240 163085 165888 166752 168480 168831 170496 171384 173056 173160 179712 180648 182520 184320 184704 185280 185666 187590 189440 191808 192807 194688 194805 195702 197632 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100199424 100259640 102768640 104053248 105679080 106389504 106721280 106943616 108051840 108614610 109685760 112140288 112724352 115255296 115614720 115855584 118826240 120311568 122757120 123396480 125249280 128061440 128065536 129662208 130066560 130337532 131622912 132986880 133599232 133679520 138737664 140175360 140905440 142591488 144069120 144819480 146247680 148075776 150299136 150389460 153673728 154152960 154474112 159584256 160081920 160415424 162077760 162921915 164528640 166999040 169086528 172882944 173422080 173783376 175497216 177315840 178239360 184983552 185094720 186900480 187873920 190121984 192092160 193092640 195506298 197434368 199480320 200398848 200519280 208106496 211358160 213442560 213887232 216103680 217229220 219371520 225448704 230510592 231229440 231711168 237652480 240623136 246792960 250498560 256122880 259324416 260133120 260675064 263245824 265973760 267198464 267359040 277475328 280350720 281810880 285182976 288138240 289638960 292495360 296151552 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1158555840 1184606208 1202393088 1203115680 1235792896 1283323392 1296622080 1303375320 1316229120 1335992320 1352692224 1383063552 1387376640 1390267008 1425914880 1480757760 1502991360 1544741120 1564050384 1579474944 1595842560 1604154240 1664851968 1690865280 1711097856 1728829440 1737833760 1803589632 1853689344 1901219840 1924985088 1955062980 1974343680 2003988480 2074595328 2081064960 2085400512 2138872320 2254487040 2281463808 2305105920 2317111680 2369212416 2404786176 2406231360 2471585792 2566646784 2593244160 2606750640 2632458240 2705384448 2774753280 2780534016 2851829760 2961515520 3005982720 3089482240 3128100768 3208308480 3381730560 3422195712 3457658880 3475667520 3607179264 3707378688 3802439680 3849970176 3910125960 3948687360 4007976960 4149190656 4162129920 4170801024 4277744640 4508974080 4634223360 4738424832 4812462720 4943171584 5133293568 5186488320 5213501280 5410768896 5561068032 5703659520 5923031040 6011965440 6178964480 6256201536 6416616960 6763461120 6844391424 6915317760 6951335040 7214358528 7414757376 7699940352 7820251920 7897374720 8324259840 8341602048 8555489280 9017948160 9268446720 9624925440 9886343168 10266587136 10372976640 10427002560 10821537792 11122136064 11407319040 11846062080 12023930880 12357928960 12512403072 12833233920 13526922240 13902670080 14829514752 15399880704 15640503840 16683204096 17110978560 18035896320 18536893440 19249850880 20533174272 20745953280 20854005120 21643075584 22244272128 23692124160 24715857920 25024806144 25666467840 27053844480 27805340160 29659029504 30799761408 31281007680 33366408192 34221957120 36071792640 37073786880 38499701760 41708010240 44488544256 49431715840 50049612288 51332935680 54107688960 55610680320 61599522816 62562015360 66732816384 74147573760 76999403520 83416020480 88977088512 100099224576 102665871360 108215377920 111221360640 125124030720 133465632768 148295147520 153998807040 166832040960 200198449152 222442721280 250248061440 266931265536 307997614080 333664081920 400396898304 444885442560 500496122880 667328163840 800793796608 1000992245760 1334656327680 2001984491520 4003968983040
• Sum of all divisors σ(n): 16045988190408
• Sum of proper divisors (its aliquot sum) s(n): 12042019207368
• 4003968983040 is an abundant number, because the sum of its proper divisors (12042019207368) is greater than itself. Its abundance is 8038050224328

Bases of 4003968983040

• Binary: 111010010000111111001001100010000000000000₂
• Hexadecimal: 0x3A43F262000
• Base-36: 1F3EBR400

Squares and roots of 4003968983040

• 4003968983040 squared (4003968983040²) is 16031767617146371807641600
• 4003968983040 cubed (4003968983040³) is 64190700282359162393468463652798464000
• The square root of 4003968983040 is 2000991.9997441269
• The cube root of 4003968983040 is 15879.2590906513

Scales and comparisons

• 4,003,968,983,040 seconds is equal to 127,313 years, 43 weeks, 14 hours, 24 minutes.
• To count from 1 to 4,003,968,983,040 would take you about three hundred eighteen thousand, two hundred eighty-four 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 4003968983040 cubic inches would be around 1323.3 feet tall.

Recreational maths with 4003968983040

• 4003968983040 backwards is 0403898693004
• 4003968983040 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 4003968983040's digits is 54
• More coming soon!