40668978216960
40,668,978,216,960 is an even composite number composed of four prime numbers multiplied together.
40668978216960 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 40668978216960:
226 × 33 × 5 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 67 × 67)See below for interesting mathematical facts about the number 40668978216960 from the Numbermatics database.
Names of 40668978216960
- Cardinal: 40668978216960 can be written as Forty trillion, six hundred sixty-eight billion, nine hundred seventy-eight million, two hundred sixteen thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.066897821696 × 1013
Factors of 40668978216960
Divisors of 40668978216960
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 67 72 80 90 96 108 120 128 134 135 144 160 180 192 201 216 240 256 268 270 288 320 335 360 384 402 432 480 512 536 540 576 603 640 670 720 768 804 864 960 1005 1024 1072 1080 1152 1206 1280 1340 1440 1536 1608 1728 1809 1920 2010 2048 2144 2160 2304 2412 2560 2680 2880 3015 3072 3216 3456 3618 3840 4020 4096 4288 4320 4489 4608 4824 5120 5360 5760 6030 6144 6432 6912 7236 7680 8040 8192 8576 8640 8978 9045 9216 9648 10240 10720 11520 12060 12288 12864 13467 13824 14472 15360 16080 16384 17152 17280 17956 18090 18432 19296 20480 21440 22445 23040 24120 24576 25728 26934 27648 28944 30720 32160 32768 34304 34560 35912 36180 36864 38592 40401 40960 42880 44890 46080 48240 49152 51456 53868 55296 57888 61440 64320 65536 67335 68608 69120 71824 72360 73728 77184 80802 81920 85760 89780 92160 96480 98304 102912 107736 110592 115776 121203 122880 128640 131072 134670 137216 138240 143648 144720 147456 154368 161604 163840 171520 179560 184320 192960 196608 202005 205824 215472 221184 231552 242406 245760 257280 262144 269340 274432 276480 287296 289440 294912 308736 323208 327680 343040 359120 368640 385920 393216 404010 411648 430944 442368 463104 484812 491520 514560 524288 538680 548864 552960 574592 578880 589824 606015 617472 646416 655360 686080 718240 737280 771840 786432 808020 823296 861888 884736 926208 969624 983040 1029120 1048576 1077360 1097728 1105920 1149184 1157760 1179648 1212030 1234944 1292832 1310720 1372160 1436480 1474560 1543680 1572864 1616040 1646592 1723776 1769472 1852416 1939248 1966080 2058240 2097152 2154720 2195456 2211840 2298368 2315520 2359296 2424060 2469888 2585664 2621440 2744320 2872960 2949120 3087360 3145728 3232080 3293184 3447552 3538944 3704832 3878496 3932160 4116480 4194304 4309440 4390912 4423680 4596736 4631040 4718592 4848120 4939776 5171328 5242880 5488640 5745920 5898240 6174720 6291456 6464160 6586368 6895104 7077888 7409664 7756992 7864320 8232960 8388608 8618880 8781824 8847360 9193472 9262080 9437184 9696240 9879552 10342656 10485760 10977280 11491840 11796480 12349440 12582912 12928320 13172736 13790208 14155776 14819328 15513984 15728640 16465920 16777216 17237760 17563648 17694720 18386944 18524160 18874368 19392480 19759104 20685312 20971520 21954560 22983680 23592960 24698880 25165824 25856640 26345472 27580416 28311552 29638656 31027968 31457280 32931840 33554432 34475520 35127296 35389440 36773888 37048320 37748736 38784960 39518208 41370624 41943040 43909120 45967360 47185920 49397760 50331648 51713280 52690944 55160832 56623104 59277312 62055936 62914560 65863680 67108864 68951040 70254592 70778880 73547776 74096640 75497472 77569920 79036416 82741248 83886080 87818240 91934720 94371840 98795520 100663296 103426560 105381888 110321664 113246208 118554624 124111872 125829120 131727360 137902080 140509184 141557760 147095552 148193280 150994944 155139840 158072832 165482496 167772160 175636480 183869440 188743680 197591040 201326592 206853120 210763776 220643328 226492416 237109248 248223744 251658240 263454720 275804160 281018368 283115520 294191104 296386560 301989888 310279680 316145664 330964992 335544320 351272960 367738880 377487360 395182080 413706240 421527552 441286656 452984832 474218496 496447488 503316480 526909440 551608320 562036736 566231040 588382208 592773120 603979776 620559360 632291328 661929984 702545920 735477760 754974720 790364160 827412480 843055104 882573312 905969664 948436992 992894976 1006632960 1053818880 1103216640 1124073472 1132462080 1176764416 1185546240 1241118720 1264582656 1323859968 1405091840 1470955520 1509949440 1580728320 1654824960 1686110208 1765146624 1811939328 1896873984 1985789952 2107637760 2206433280 2248146944 2264924160 2353528832 2371092480 2482237440 2529165312 2647719936 2810183680 2941911040 3019898880 3161456640 3309649920 3372220416 3530293248 3793747968 3971579904 4215275520 4412866560 4496293888 4529848320 4707057664 4742184960 4964474880 5058330624 5295439872 5620367360 5883822080 6322913280 6619299840 6744440832 7060586496 7587495936 7943159808 8430551040 8825733120 9059696640 9414115328 9484369920 9928949760 10116661248 10590879744 11240734720 11767644160 12645826560 13238599680 13488881664 14121172992 15174991872 15886319616 16861102080 17651466240 18828230656 18968739840 19857899520 20233322496 21181759488 22481469440 23535288320 25291653120 26477199360 28242345984 30349983744 31772639232 33722204160 35302932480 37656461312 37937479680 39715799040 40466644992 42363518976 47070576640 50583306240 52954398720 56484691968 60699967488 63545278464 67444408320 70605864960 75312922624 75874959360 79431598080 84727037952 94141153280 101166612480 105908797440 112969383936 121399934976 127090556928 141211729920 150625845248 151749918720 158863196160 169454075904 188282306560 202333224960 211817594880 225938767872 254181113856 282423459840 301251690496 303499837440 317726392320 338908151808 376564613120 423635189760 451877535744 508362227712 564846919680 606999674880 635452784640 677816303616 753129226240 847270379520 903755071488 1016724455424 1129693839360 1270905569280 1355632607232 1506258452480 1694540759040 2033448910848 2259387678720 2541811138560 2711265214464 3389081518080 4066897821696 4518775357440 5083622277120 6778163036160 8133795643392 10167244554240 13556326072320 20334489108480 40668978216960
- Sum of all divisors σ(n): 146791243665360
- Sum of proper divisors (its aliquot sum) s(n): 106122265448400
- 40668978216960 is an abundant number, because the sum of its proper divisors (106122265448400) is greater than itself. Its abundance is 65453287231440
Bases of 40668978216960
- Binary: 10010011111100111111000000000000000000000000002
- Hexadecimal: 0x24FCFC000000
- Base-36: EEZ2JL6O0
Squares and roots of 40668978216960
- 40668978216960 squared (406689782169602) is 1653965789211566980831641600
- 40668978216960 cubed (406689782169603) is 67265098653042272516310026095517761536000
-
The
square root of 40668978216960 is 6377223.3939983629 -
The
cube root of 40668978216960 is 34389.1219370715
Scales and comparisons
How big is 40668978216960?- 40,668,978,216,960 seconds is equal to 1,293,147 years, 36 weeks, 6 days, 9 hours, 36 minutes.
-
To count from 1 to 40,668,978,216,960 would take you about three million, two hundred thirty-two thousand, eight hundred sixty-nine 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 40668978216960 cubic inches would be around 2865.8 feet tall.
Recreational maths with 40668978216960
- 40668978216960 backwards is 06961287986604
- 40668978216960 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40668978216960's digits is 72
- More coming soon!
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