148415104000
148,415,104,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 148415104000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 352 divisors.
148415104000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 148415104000:
210 × 53 × 31 × 113 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 31 × 113 × 331)See below for interesting mathematical facts about the number 148415104000 from the Numbermatics database.
Names of 148415104000
- Cardinal: 148415104000 can be written as One hundred forty-eight billion, four hundred fifteen million, one hundred four thousand.
Scientific notation
- Scientific notation: 1.48415104 × 1011
Factors of 148415104000
Divisors of 148415104000
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 113 124 125 128 155 160 200 226 248 250 256 310 320 331 400 452 496 500 512 565 620 640 662 775 800 904 992 1000 1024 1130 1240 1280 1324 1550 1600 1655 1808 1984 2000 2260 2480 2560 2648 2825 3100 3200 3310 3503 3616 3875 3968 4000 4520 4960 5120 5296 5650 6200 6400 6620 7006 7232 7750 7936 8000 8275 9040 9920 10261 10592 11300 12400 12800 13240 14012 14125 14464 15500 15872 16000 16550 17515 18080 19840 20522 21184 22600 24800 25600 26480 28024 28250 28928 31000 31744 32000 33100 35030 36160 37403 39680 41044 41375 42368 45200 49600 51305 52960 56048 56500 57856 62000 64000 66200 70060 72320 74806 79360 82088 82750 84736 87575 90400 99200 102610 105920 112096 113000 115712 124000 128000 132400 140120 144640 149612 158720 164176 165500 169472 175150 180800 187015 198400 205220 211840 224192 226000 248000 256525 264800 280240 289280 299224 328352 331000 338944 350300 361600 374030 396800 410440 423680 437875 448384 452000 496000 513050 529600 560480 578560 598448 656704 662000 700600 723200 748060 793600 820880 847360 875750 896768 904000 935075 992000 1026100 1059200 1120960 1159493 1196896 1282625 1313408 1324000 1401200 1446400 1496120 1641760 1694720 1751500 1793536 1808000 1870150 1984000 2052200 2118400 2241920 2318986 2393792 2565250 2626816 2648000 2802400 2892800 2992240 3283520 3503000 3587072 3616000 3740300 3968000 4104400 4236800 4483840 4637972 4675375 4787584 5130500 5253632 5296000 5604800 5797465 5984480 6567040 7006000 7232000 7480600 8208800 8473600 8967680 9275944 9350750 9575168 10261000 10507264 10592000 11209600 11594930 11968960 13134080 14012000 14464000 14961200 16417600 17935360 18551888 18701500 19150336 20522000 21184000 22419200 23189860 23937920 26268160 28024000 28987325 29922400 32835200 37103776 37403000 38300672 41044000 42368000 44838400 46379720 47875840 52536320 56048000 57974650 59844800 65670400 74207552 74806000 82088000 89676800 92759440 95751680 112096000 115949300 119689600 131340800 144936625 148415104 149612000 164176000 185518880 191503360 224192000 231898600 239379200 262681600 289873250 296830208 299224000 328352000 371037760 448384000 463797200 478758400 579746500 593660416 598448000 656704000 742075520 927594400 957516800 1159493000 1187320832 1196896000 1313408000 1484151040 1855188800 2318986000 2393792000 2968302080 3710377600 4637972000 4787584000 5936604160 7420755200 9275944000 14841510400 18551888000 29683020800 37103776000 74207552000 148415104000
- Sum of all divisors σ(n): 386754481152
- Sum of proper divisors (its aliquot sum) s(n): 238339377152
- 148415104000 is an abundant number, because the sum of its proper divisors (238339377152) is greater than itself. Its abundance is 89924273152
Bases of 148415104000
- Binary: 100010100011100011101011000100000000002
- Hexadecimal: 0x228E3AC400
- Base-36: 1W6IIR5S
Squares and roots of 148415104000
- 148415104000 squared (1484151040002) is 22027043095330816000000
- 148415104000 cubed (1484151040003) is 3269145891806004971044864000000000
-
The
square root of 148415104000 is 385246.8092015819 -
The
cube root of 148415104000 is 5294.5131777883
Scales and comparisons
How big is 148415104000?- 148,415,104,000 seconds is equal to 4,719 years, 7 weeks, 2 days, 9 hours, 46 minutes, 40 seconds.
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To count from 1 to 148,415,104,000 would take you about nine thousand, four hundred thirty-eight 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 148415104000 cubic inches would be around 441.2 feet tall.
Recreational maths with 148415104000
- 148415104000 backwards is 000401514841
- The number of decimal digits it has is: 12
- The sum of 148415104000's digits is 28
- More coming soon!
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