138512331072000
138,512,331,072,000 is an even composite number composed of eight prime numbers multiplied together.
138512331072000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five thousand, one hundred twenty divisors.
Prime factorization of 138512331072000:
29 × 33 × 53 × 19 × 23 × 31 × 61 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 23 × 31 × 61 × 97)See below for interesting mathematical facts about the number 138512331072000 from the Numbermatics database.
Names of 138512331072000
- Cardinal: 138512331072000 can be written as One hundred thirty-eight trillion, five hundred twelve billion, three hundred thirty-one million, seventy-two thousand.
Scientific notation
- Scientific notation: 1.38512331072 × 1014
Factors of 138512331072000
Divisors of 138512331072000
- Number of divisors d(n): 5120
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 25 27 30 31 32 36 38 40 45 46 48 50 54 57 60 61 62 64 69 72 75 76 80 90 92 93 95 96 97 100 108 114 115 120 122 124 125 128 135 138 144 150 152 155 160 171 180 183 184 186 190 192 194 200 207 216 225 228 230 240 244 248 250 256 270 276 279 285 288 291 300 304 305 310 320 342 345 360 366 368 372 375 380 384 388 400 414 432 437 450 456 460 465 475 480 485 488 496 500 512 513 540 549 552 558 570 575 576 582 589 600 608 610 620 621 640 675 684 690 713 720 732 736 744 750 760 768 775 776 800 828 837 855 864 873 874 900 912 915 920 930 950 960 970 976 992 1000 1026 1035 1080 1098 1104 1116 1125 1140 1150 1152 1159 1164 1178 1200 1216 1220 1240 1242 1280 1311 1350 1368 1380 1395 1403 1425 1426 1440 1455 1464 1472 1488 1500 1520 1525 1536 1550 1552 1600 1647 1656 1674 1710 1725 1728 1746 1748 1767 1800 1824 1830 1840 1843 1860 1891 1900 1920 1940 1952 1984 2000 2052 2070 2139 2160 2185 2196 2208 2231 2232 2250 2280 2300 2304 2318 2325 2328 2356 2375 2400 2425 2432 2440 2480 2484 2560 2565 2619 2622 2700 2736 2745 2760 2790 2806 2850 2852 2875 2880 2910 2928 2944 2945 2976 3000 3007 3040 3050 3100 3104 3105 3200 3294 3312 3348 3375 3420 3450 3456 3477 3492 3496 3534 3565 3600 3648 3660 3680 3686 3720 3782 3800 3840 3875 3880 3904 3933 3968 4000 4104 4140 4185 4209 4275 4278 4320 4365 4370 4392 4416 4462 4464 4500 4560 4575 4600 4608 4636 4650 4656 4712 4750 4800 4850 4864 4880 4960 4968 5130 5175 5238 5244 5301 5400 5472 5490 5520 5529 5580 5612 5673 5700 5704 5750 5760 5795 5820 5856 5888 5890 5917 5952 6000 6014 6080 6100 6200 6208 6210 6400 6417 6555 6588 6624 6693 6696 6750 6840 6900 6912 6954 6975 6984 6992 7015 7068 7125 7130 7200 7275 7296 7320 7360 7372 7440 7564 7600 7625 7680 7750 7760 7808 7866 7936 8000 8208 8235 8280 8370 8418 8550 8556 8625 8640 8730 8740 8784 8832 8835 8924 8928 9000 9021 9120 9150 9200 9215 9272 9300 9312 9424 9455 9500 9600 9700 9728 9760 9920 9936 10260 10350 10431 10476 10488 10602 10695 10800 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744689952000 752784408000 756897984000 769512950400 810013632000 865702069200 893627942400 911265336000 923415540480 961891188000 1003712544000 1026017267200 1082127586500 1108098648576 1117034928000 1135346976000 1154269425600 1204455052800 1215020448000 1282521584000 1385123310720 1427962176000 1442836782000 1458024537600 1489379904000 1505568816000 1539025900800 1731404138400 1822530672000 1846831080960 1923782376000 2007425088000 2164255173000 2234069856000 2270693952000 2308538851200 2430040896000 2565043168000 2770246621440 2885673564000 3011137632000 3078051801600 3462808276800 3645061344000 3847564752000 4328510346000 4468139712000 4617077702400 5130086336000 5540493242880 5771347128000 6022275264000 6925616553600 7290122688000 7695129504000 8657020692000 9234155404800 11542694256000 13851233107200 15390259008000 17314041384000 23085388512000 27702466214400 34628082768000 46170777024000 69256165536000 138512331072000
- Sum of all divisors σ(n): 595757069107200
- Sum of proper divisors (its aliquot sum) s(n): 457244738035200
- 138512331072000 is an abundant number, because the sum of its proper divisors (457244738035200) is greater than itself. Its abundance is 318732406963200
Bases of 138512331072000
- Binary: 111110111111001111010100100101001100010000000002
- Hexadecimal: 0x7DF9EA4A6200
- Base-36: 1D3JOPMYO0
Squares and roots of 138512331072000
- 138512331072000 squared (1385123310720002) is 19185665858999336669184000000
- 138512331072000 cubed (1385123310720003) is 2657451301298483391350403948085248000000000
-
The
square root of 138512331072000 is 11769126.1813271421 -
The
cube root of 138512331072000 is 51740.3639643011
Scales and comparisons
How big is 138512331072000?- 138,512,331,072,000 seconds is equal to 4,404,263 years, 35 weeks, 3 days.
-
To count from 1 to 138,512,331,072,000 would take you about eleven million, ten thousand, six hundred fifty-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 138512331072000 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138512331072000
- 138512331072000 backwards is 000270133215831
- 138512331072000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138512331072000's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 138512331072000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138512331072000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138512331072000/
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The information we have on file for 138512331072000 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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