138513413376000
138,513,413,376,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138513413376000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
138513413376000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138513413376000:
211 × 32 × 53 × 13 × 41 × 149 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 41 × 149 × 757)See below for interesting mathematical facts about the number 138513413376000 from the Numbermatics database.
Names of 138513413376000
- Cardinal: 138513413376000 can be written as One hundred thirty-eight trillion, five hundred thirteen billion, four hundred thirteen million, three hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.38513413376 × 1014
Factors of 138513413376000
Divisors of 138513413376000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 41 45 48 50 52 60 64 65 72 75 78 80 82 90 96 100 104 117 120 123 125 128 130 144 149 150 156 160 164 180 192 195 200 205 208 225 234 240 246 250 256 260 288 298 300 312 320 325 328 360 369 375 384 390 400 410 416 447 450 468 480 492 500 512 520 533 576 585 596 600 615 624 640 650 656 720 738 745 750 757 768 780 800 820 832 894 900 936 960 975 984 1000 1024 1025 1040 1066 1125 1152 1170 1192 1200 1230 1248 1280 1300 1312 1341 1440 1476 1490 1500 1514 1536 1560 1599 1600 1625 1640 1664 1788 1800 1845 1872 1920 1937 1950 1968 2000 2048 2050 2080 2132 2235 2250 2271 2304 2340 2384 2400 2460 2496 2560 2600 2624 2665 2682 2880 2925 2952 2980 3000 3028 3072 3075 3120 3198 3200 3250 3280 3328 3576 3600 3690 3725 3744 3785 3840 3874 3900 3936 4000 4100 4160 4264 4470 4500 4542 4608 4680 4768 4797 4800 4875 4920 4992 5120 5125 5200 5248 5330 5364 5760 5811 5850 5904 5960 6000 6056 6109 6144 6150 6240 6396 6400 6500 6560 6656 6705 6813 7152 7200 7380 7450 7488 7570 7680 7748 7800 7872 7995 8000 8200 8320 8528 8940 9000 9084 9216 9225 9360 9536 9594 9600 9685 9750 9840 9841 9984 10240 10250 10400 10496 10660 10728 11175 11355 11520 11622 11700 11808 11920 12000 12112 12218 12300 12480 12792 12800 13000 13120 13312 13325 13410 13626 14304 14400 14625 14760 14900 14976 15140 15360 15375 15496 15600 15744 15990 16000 16400 16640 17056 17433 17880 18000 18168 18327 18432 18450 18625 18720 18925 19072 19188 19200 19370 19500 19680 19682 19968 20500 20800 20992 21320 21456 22350 22710 23040 23244 23400 23616 23840 23985 24000 24224 24436 24600 24960 25584 25600 26000 26240 26624 26650 26820 27252 28608 28800 29055 29250 29520 29523 29800 29952 30280 30545 30720 30750 30992 31037 31200 31488 31980 32000 32800 33280 33525 34065 34112 34866 35760 36000 36336 36654 36900 37250 37440 37850 38144 38376 38400 38740 39000 39360 39364 39936 39975 41000 41600 41984 42640 42912 44700 45420 46080 46125 46488 46800 47232 47680 47970 48000 48425 48448 48872 49200 49205 49920 51168 51200 52000 52480 53300 53640 54504 54981 55875 56775 57216 57600 58110 58500 59040 59046 59600 59904 60560 61090 61500 61984 62074 62400 62976 63960 64000 65600 66560 66625 67050 68130 68224 69732 71520 72000 72672 73308 73800 74500 74880 75700 76288 76752 76800 77480 78000 78720 78728 79417 79872 79950 82000 83200 83968 85280 85824 87165 88569 89400 90840 91635 92160 92250 92976 93111 93600 94464 94625 95360 95940 96000 96850 96896 97744 98400 98410 99840 102336 104000 104960 106600 107280 109008 109962 111750 112793 113550 114432 115200 116220 117000 118080 118092 119200 119808 119925 121120 122180 123000 123968 124148 124800 125952 127920 128000 131200 133120 133250 134100 136260 136448 139464 143040 144000 145275 145344 146616 147600 147615 149000 149760 151400 152576 152725 153504 153600 154960 155185 156000 157440 157456 158834 159900 164000 166400 167625 170325 170560 171648 174330 177138 178800 181680 183270 184500 185952 186222 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721424028000 769518963200 844593984000 865708833600 887906496000 923422755840 929620224000 961898704000 1065487795200 1082136042000 1108107307008 1126125312000 1154278444800 1183875328000 1331859744000 1385134133760 1442848056000 1539037926400 1689187968000 1731417667200 1775812992000 1846845511680 1923797408000 2130975590400 2164272084000 2308556889600 2663719488000 2770268267520 2885696112000 3078075852800 3378375936000 3462835334400 3551625984000 3847594816000 4328544168000 4617113779200 5327438976000 5540536535040 5771392224000 6925670668800 7695189632000 8657088336000 9234227558400 10654877952000 11542784448000 13851341337600 15390379264000 17314176672000 23085568896000 27702682675200 34628353344000 46171137792000 69256706688000 138513413376000
- Sum of all divisors σ(n): 555213027096000
- Sum of proper divisors (its aliquot sum) s(n): 416699613720000
- 138513413376000 is an abundant number, because the sum of its proper divisors (416699613720000) is greater than itself. Its abundance is 278186200344000
Bases of 138513413376000
- Binary: 111110111111010001010101100110100001000000000002
- Hexadecimal: 0x7DFA2ACD0800
- Base-36: 1D3K6M0HS0
Squares and roots of 138513413376000
- 138513413376000 squared (1385134133760002) is 19185965685070655717376000000
- 138513413376000 cubed (1385134133760003) is 2657513595953942767148279714021376000000000
-
The
square root of 138513413376000 is 11769172.1618812257 -
The
cube root of 138513413376000 is 51740.4987264473
Scales and comparisons
How big is 138513413376000?- 138,513,413,376,000 seconds is equal to 4,404,298 years, 4 weeks, 6 days, 16 hours.
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To count from 1 to 138,513,413,376,000 would take you about eleven million, ten thousand, seven hundred forty-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 138513413376000 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138513413376000
- 138513413376000 backwards is 000673314315831
- 138513413376000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138513413376000's digits is 45
- More coming soon!
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The information we have on file for 138513413376000 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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