148713212648000
148,713,212,648,000 is an even composite number composed of nine prime numbers multiplied together.
What does the number 148713212648000 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 3584 divisors.
148713212648000 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of three thousand, five hundred eighty-four divisors.
Prime factorization of 148713212648000:
26 × 53 × 7 × 11 × 13 × 19 × 31 × 41 × 769
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 13 × 19 × 31 × 41 × 769)See below for interesting mathematical facts about the number 148713212648000 from the Numbermatics database.
Names of 148713212648000
- Cardinal: 148713212648000 can be written as One hundred forty-eight trillion, seven hundred thirteen billion, two hundred twelve million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.48713212648 × 1014
Factors of 148713212648000
Divisors of 148713212648000
- Number of divisors d(n): 3584
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 19 20 22 25 26 28 31 32 35 38 40 41 44 50 52 55 56 62 64 65 70 76 77 80 82 88 91 95 100 104 110 112 124 125 130 133 140 143 152 154 155 160 164 175 176 182 190 200 205 208 209 217 220 224 247 248 250 260 266 275 280 286 287 304 308 310 320 325 328 341 350 352 364 380 385 400 403 410 416 418 434 440 448 451 455 475 494 496 500 520 532 533 550 560 572 574 589 608 616 620 650 656 665 682 700 704 715 728 760 769 770 775 779 800 806 820 832 836 868 875 880 902 910 950 988 992 1000 1001 1025 1040 1045 1064 1066 1085 1100 1120 1144 1148 1178 1216 1232 1235 1240 1271 1300 1312 1330 1364 1375 1400 1430 1435 1456 1463 1520 1538 1540 1550 1558 1600 1612 1625 1640 1672 1705 1729 1736 1750 1760 1804 1820 1900 1925 1976 1984 2000 2002 2015 2050 2080 2090 2128 2132 2170 2200 2240 2255 2275 2288 2296 2356 2375 2387 2464 2470 2480 2542 2600 2624 2660 2665 2717 2728 2750 2800 2821 2860 2870 2912 2926 2945 3040 3076 3080 3100 3116 3157 3224 3250 3280 3325 3344 3410 3458 3472 3500 3520 3575 3608 3640 3731 3800 3845 3850 3875 3895 3952 4000 4004 4030 4100 4123 4160 4180 4256 4264 4340 4400 4433 4510 4550 4576 4592 4712 4750 4774 4928 4940 4960 5005 5084 5125 5200 5225 5320 5330 5383 5425 5434 5453 5456 5500 5600 5642 5720 5740 5824 5852 5863 5890 6080 6152 6160 6175 6200 6232 6314 6355 6448 6479 6500 6560 6650 6688 6820 6916 6944 7000 7150 7175 7216 7280 7315 7462 7600 7657 7690 7700 7750 7790 7904 8000 8008 8060 8200 8246 8360 8459 8512 8525 8528 8569 8645 8680 8800 8866 8897 9020 9100 9152 9184 9424 9500 9548 9625 9880 9920 9997 10010 10075 10127 10168 10250 10400 10450 10640 10660 10766 10850 10868 10906 10912 11000 11200 11275 11284 11375 11440 11480 11704 11726 11780 11935 12304 12320 12350 12400 12464 12628 12710 12896 12958 13000 13120 13300 13325 13376 13585 13640 13832 13888 13981 14000 14105 14300 14350 14432 14560 14611 14630 14725 14924 15200 15314 15380 15400 15500 15580 15785 15808 16016 16120 16400 16492 16523 16625 16720 16918 17050 17056 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782701119200 817105564000 844961435500 849789786560 906787882000 929457579050 959440081600 965670212000 978376399000 1039952536000 1062237233200 1118144456000 1143947789600 1189705701184 1199300102000 1327796541500 1351938296800 1429934737000 1487132126480 1565402238400 1634211128000 1689922871000 1813575764000 1858915158100 1931340424000 1956752798000 2124474466400 2287895579200 2323643947625 2398600204000 2655593083000 2703876593600 2859869474000 2974264252960 3379845742000 3627151528000 3717830316200 3913505596000 4248948932800 4647287895250 4797200408000 5311186166000 5719738948000 5948528505920 6759691484000 7435660632400 7827011192000 9294575790500 10622372332000 11439477896000 13519382968000 14871321264800 18589151581000 21244744664000 29742642529600 37178303162000 74356606324000 148713212648000
- Sum of all divisors σ(n): 551121784012800
- Sum of proper divisors (its aliquot sum) s(n): 402408571364800
- 148713212648000 is an abundant number, because the sum of its proper divisors (402408571364800) is greater than itself. Its abundance is 253695358716800
Bases of 148713212648000
- Binary: 1000011101000000111111100011011010011010010000002
- Hexadecimal: 0x8740FE369A40
- Base-36: 1GPPWN5DFK
Squares and roots of 148713212648000
- 148713212648000 squared (1487132126480002) is 22115619616089267171904000000
- 148713212648000 cubed (1487132126480003) is 3288884842809763311085845123041792000000000
-
The
square root of 148713212648000 is 12194802.6899987193 -
The
cube root of 148713212648000 is 52980.5568467537
Scales and comparisons
How big is 148713212648000?- 148,713,212,648,000 seconds is equal to 4,728,620 years, 8 weeks, 2 days, 23 hours, 33 minutes, 20 seconds.
-
To count from 1 to 148,713,212,648,000 would take you about eleven million, eight hundred twenty-one thousand, five hundred fifty 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 148713212648000 cubic inches would be around 4415 feet tall.
Recreational maths with 148713212648000
- 148713212648000 backwards is 000846212317841
- The number of decimal digits it has is: 15
- The sum of 148713212648000's digits is 47
- More coming soon!
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Cite this page
MLA style:
"Number 148713212648000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 148713212648000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/148713212648000/
Chicago style:
Numbermatics. 2024. "Number 148713212648000 - Facts about the integer". https://numbermatics.com/n/148713212648000/
The information we have on file for 148713212648000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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