13138148400
13,138,148,400 is an even composite number composed of seven prime numbers multiplied together.
13138148400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13138148400:
24 × 3 × 52 × 13 × 29 × 113 × 257
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 29 × 113 × 257)See below for interesting mathematical facts about the number 13138148400 from the Numbermatics database.
Names of 13138148400
- Cardinal: 13138148400 can be written as Thirteen billion, one hundred thirty-eight million, one hundred forty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.31381484 × 1010
Factors of 13138148400
Divisors of 13138148400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 29 30 39 40 48 50 52 58 60 65 75 78 80 87 100 104 113 116 120 130 145 150 156 174 195 200 208 226 232 240 257 260 290 300 312 325 339 348 377 390 400 435 452 464 514 520 565 580 600 624 650 678 696 725 754 771 780 870 904 975 1028 1040 1130 1131 1160 1200 1285 1300 1356 1392 1450 1469 1508 1542 1560 1695 1740 1808 1885 1950 2056 2175 2260 2262 2320 2570 2600 2712 2825 2900 2938 3016 3084 3120 3277 3341 3390 3480 3770 3855 3900 4112 4350 4407 4520 4524 5140 5200 5424 5650 5655 5800 5876 6032 6168 6425 6554 6682 6780 6960 7345 7453 7540 7710 7800 8475 8700 8814 9040 9048 9425 9831 10023 10280 11300 11310 11600 11752 12336 12850 13108 13364 13560 14690 14906 15080 15420 15600 16385 16705 16950 17400 17628 18096 18850 19275 19662 20046 20560 22035 22359 22600 22620 23504 25700 26216 26728 27120 28275 29041 29380 29812 30160 30840 32770 33410 33900 34800 35256 36725 37265 37700 38550 39324 40092 42601 44070 44718 45200 45240 49155 50115 51400 52432 53456 56550 58082 58760 59624 61680 65540 66820 67800 70512 73450 74530 75400 77100 78648 80184 81925 83525 85202 87123 88140 89436 90480 96889 98310 100230 102800 110175 111795 113100 116164 117520 119248 127803 131080 133640 135600 145205 146900 149060 150800 154200 157296 160368 163850 167050 170404 174246 176280 178872 186325 193778 196620 200460 213005 220350 223590 226200 232328 245775 250575 255606 262160 267280 290410 290667 293800 298120 308400 327700 334100 340808 348492 352560 357744 372650 377533 387556 393240 400920 426010 435615 440700 447180 452400 464656 484445 491550 501150 511212 558975 580820 581334 587600 596240 639015 655400 668200 681616 696984 726025 745300 755066 775112 786480 801840 842189 852020 871230 881400 894360 968890 983100 1002300 1022424 1065025 1117950 1132599 1161640 1162668 1278030 1310800 1336400 1393968 1452050 1453335 1490600 1510132 1550224 1684378 1704040 1742460 1762800 1788720 1887665 1937780 1966200 2004600 2044848 2130050 2178075 2235900 2265198 2323280 2325336 2422225 2526567 2556060 2904100 2906670 2981200 3020264 3195075 3368756 3408080 3484920 3775330 3875560 3932400 4009200 4210945 4260100 4356150 4471800 4530396 4650672 4844450 5053134 5112120 5662995 5808200 5813340 6040528 6390150 6737512 6969840 7266675 7550660 7751120 8421890 8520200 8712300 8943600 9060792 9438325 9688900 10106268 10224240 10948457 11325990 11616400 11626680 12632835 12780300 13475024 14533350 15101320 16843780 17040400 17424600 18121584 18876650 19377800 20212536 21054725 21896914 22651980 23253360 25265670 25560600 28314975 29066700 30202640 32845371 33687560 34849200 37753300 38755600 40425072 42109450 43793828 45303960 50531340 51121200 54742285 56629950 58133400 63164175 65690742 67375120 75506600 84218900 87587656 90607920 101062680 109484570 113259900 116266800 126328350 131381484 151013200 164226855 168437800 175175312 202125360 218969140 226519800 252656700 262762968 273711425 328453710 336875600 437938280 453039600 505313400 525525936 547422850 656907420 821134275 875876560 1010626800 1094845700 1313814840 1642268550 2189691400 2627629680 3284537100 4379382800 6569074200 13138148400
- Sum of all divisors σ(n): 47485085760
- Sum of proper divisors (its aliquot sum) s(n): 34346937360
- 13138148400 is an abundant number, because the sum of its proper divisors (34346937360) is greater than itself. Its abundance is 21208788960
Bases of 13138148400
- Binary: 11000011110001100000111100001100002
- Hexadecimal: 0x30F183C30
- Base-36: 61A446O
Squares and roots of 13138148400
- 13138148400 squared (131381484002) is 172610943380422560000
- 13138148400 cubed (131381484003) is 2267788189595989247987904000000
-
The
square root of 13138148400 is 114621.7623315921 -
The
cube root of 13138148400 is 2359.6344114341
Scales and comparisons
How big is 13138148400?- 13,138,148,400 seconds is equal to 417 years, 39 weeks, 21 hours, 40 minutes.
-
To count from 1 to 13,138,148,400 would take you about eight hundred thirty-five 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 13138148400 cubic inches would be around 196.6 feet tall.
Recreational maths with 13138148400
- 13138148400 backwards is 00484183131
- The number of decimal digits it has is: 11
- The sum of 13138148400's digits is 33
- More coming soon!
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