1349030918400
1,349,030,918,400 is an even composite number composed of six prime numbers multiplied together.
1349030918400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 1349030918400:
28 × 3 × 52 × 11 × 31 × 206047
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 31 × 206047)See below for interesting mathematical facts about the number 1349030918400 from the Numbermatics database.
Names of 1349030918400
- Cardinal: 1349030918400 can be written as One trillion, three hundred forty-nine billion, thirty million, nine hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.3490309184 × 1012
Factors of 1349030918400
Divisors of 1349030918400
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 31 32 33 40 44 48 50 55 60 62 64 66 75 80 88 93 96 100 110 120 124 128 132 150 155 160 165 176 186 192 200 220 240 248 256 264 275 300 310 320 330 341 352 372 384 400 440 465 480 496 528 550 600 620 640 660 682 704 744 768 775 800 825 880 930 960 992 1023 1056 1100 1200 1240 1280 1320 1364 1408 1488 1550 1600 1650 1705 1760 1860 1920 1984 2046 2112 2200 2325 2400 2480 2640 2728 2816 2976 3100 3200 3300 3410 3520 3720 3840 3968 4092 4224 4400 4650 4800 4960 5115 5280 5456 5952 6200 6400 6600 6820 7040 7440 7936 8184 8448 8525 8800 9300 9600 9920 10230 10560 10912 11904 12400 13200 13640 14080 14880 16368 17050 17600 18600 19200 19840 20460 21120 21824 23808 24800 25575 26400 27280 29760 32736 34100 35200 37200 39680 40920 42240 43648 49600 51150 52800 54560 59520 65472 68200 70400 74400 81840 87296 99200 102300 105600 109120 119040 130944 136400 148800 163680 198400 204600 206047 211200 218240 261888 272800 297600 327360 409200 412094 436480 545600 595200 618141 654720 818400 824188 1030235 1091200 1236282 1309440 1636800 1648376 2060470 2182400 2266517 2472564 3090705 3273600 3296752 4120940 4533034 4945128 5151175 6181410 6387457 6547200 6593504 6799551 8241880 9066068 9890256 10302350 11332585 12362820 12774914 13187008 13599102 15453525 16483760 18132136 19162371 19780512 20604700 22665170 24725640 25549828 26374016 27198204 30907050 31937285 32967520 33997755 36264272 38324742 39561024 41209400 45330340 49451280 51099656 52748032 54396408 56662925 61814100 63874570 65935040 67995510 70262027 72528544 76649484 79122048 82418800 90660680 95811855 98902560 102199312 108792816 113325850 123628200 127749140 131870080 135991020 140524054 145057088 153298968 158244096 159686425 164837600 169988775 181321360 191623710 197805120 204398624 210786081 217585632 226651700 247256400 255498280 263740160 271982040 281048108 290114176 306597936 319372850 329675200 339977550 351310135 362642720 383247420 395610240 408797248 421572162 435171264 453303400 479059275 494512800 510996560 543964080 562096216 580228352 613195872 638745700 659350400 679955100 702620270 725285440 766494840 791220480 817594496 843144324 870342528 906606800 958118550 989025600 1021993120 1053930405 1087928160 1124192432 1226391744 1277491400 1318700800 1359910200 1405240540 1450570880 1532989680 1635188992 1686288648 1740685056 1756550675 1813213600 1916237100 1978051200 2043986240 2107860810 2175856320 2248384864 2452783488 2554982800 2719820400 2810481080 2901141760 3065979360 3372577296 3513101350 3626427200 3832474200 3956102400 4087972480 4215721620 4351712640 4496769728 4905566976 5109965600 5269652025 5439640800 5620962160 6131958720 6745154592 7026202700 7252854400 7664948400 8175944960 8431443240 8703425280 8993539456 10219931200 10539304050 10879281600 11241924320 12263917440 13490309184 14052405400 14505708800 15329896800 16862886480 17987078912 20439862400 21078608100 21758563200 22483848640 24527834880 26980618368 28104810800 30659793600 33725772960 40879724800 42157216200 43517126400 44967697280 53961236736 56209621600 61319587200 67451545920 84314432400 89935394560 112419243200 122639174400 134903091840 168628864800 224838486400 269806183680 337257729600 449676972800 674515459200 1349030918400
- Sum of all divisors σ(n): 5013513781248
- Sum of proper divisors (its aliquot sum) s(n): 3664482862848
- 1349030918400 is an abundant number, because the sum of its proper divisors (3664482862848) is greater than itself. Its abundance is 2315451944448
Bases of 1349030918400
- Binary: 100111010000110001000001000111001000000002
- Hexadecimal: 0x13A18823900
- Base-36: H7QI6EIO
Squares and roots of 1349030918400
- 1349030918400 squared (13490309184002) is 1819884418799147458560000
- 1349030918400 cubed (13490309184003) is 2455080348874464121158222741504000000
-
The
square root of 1349030918400 is 1161477.9026740027 -
The
cube root of 1349030918400 is 11049.4493242635
Scales and comparisons
How big is 1349030918400?- 1,349,030,918,400 seconds is equal to 42,895 years, 3 days, 18 hours, 40 minutes.
-
To count from 1 to 1,349,030,918,400 would take you about one hundred seven thousand, two hundred thirty-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 1349030918400 cubic inches would be around 920.8 feet tall.
Recreational maths with 1349030918400
- 1349030918400 backwards is 0048190309431
- The number of decimal digits it has is: 13
- The sum of 1349030918400's digits is 42
- More coming soon!
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