138033798400
138,033,798,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138033798400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 324 divisors.
138033798400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 138033798400:
28 × 52 × 172 × 37 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 17 × 37 × 2017)See below for interesting mathematical facts about the number 138033798400 from the Numbermatics database.
Names of 138033798400
- Cardinal: 138033798400 can be written as One hundred thirty-eight billion, thirty-three million, seven hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.380337984 × 1011
Factors of 138033798400
Divisors of 138033798400
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 37 40 50 64 68 74 80 85 100 128 136 148 160 170 185 200 256 272 289 296 320 340 370 400 425 544 578 592 629 640 680 740 800 850 925 1088 1156 1184 1258 1280 1360 1445 1480 1600 1700 1850 2017 2176 2312 2368 2516 2720 2890 2960 3145 3200 3400 3700 4034 4352 4624 4736 5032 5440 5780 5920 6290 6400 6800 7225 7400 8068 9248 9472 10064 10085 10693 10880 11560 11840 12580 13600 14450 14800 15725 16136 18496 20128 20170 21386 21760 23120 23680 25160 27200 28900 29600 31450 32272 34289 36992 40256 40340 42772 46240 47360 50320 50425 53465 54400 57800 59200 62900 64544 68578 73984 74629 80512 80680 85544 92480 100640 100850 106930 108800 115600 118400 125800 129088 137156 149258 161024 161360 171088 171445 184960 201280 201700 213860 231200 236800 251600 258176 267325 274312 298516 322720 342176 342890 369920 373145 402560 403400 427720 462400 503200 516352 534650 548624 582913 597032 645440 684352 685780 746290 805120 806800 855440 857225 924800 1006400 1069300 1097248 1165826 1194064 1268693 1290880 1368704 1371560 1492580 1613600 1710880 1714450 1849600 1865725 2012800 2138600 2194496 2331652 2388128 2537386 2581760 2737408 2743120 2914565 2985160 3227200 3421760 3428900 3731450 4025600 4277200 4388992 4663304 4776256 5074772 5486240 5829130 5970320 6343465 6454400 6843520 6857800 7462900 8554400 8777984 9326608 9552512 10149544 10972480 11658260 11940640 12686930 12908800 13687040 13715600 14572825 14925800 17108800 18653216 19105024 20299088 21567781 21944960 23316520 23881280 25373860 27431200 29145650 29851600 31717325 34217600 37306432 40598176 43135562 43889920 46633040 47762560 50747720 54862400 58291300 59703200 63434650 68435200 74612864 81196352 86271124 93266080 95525120 101495440 107838905 109724800 116582600 119406400 126869300 149225728 162392704 172542248 186532160 202990880 215677810 219449600 233165200 238812800 253738600 324785408 345084496 373064320 405981760 431355620 466330400 477625600 507477200 539194525 690168992 746128640 811963520 862711240 932660800 1014954400 1078389050 1380337984 1623927040 1725422480 1865321600 2029908800 2156778100 2760675968 3450844960 3730643200 4059817600 4313556200 5521351936 6901689920 8119635200 8627112400 13803379840 17254224800 27606759680 34508449600 69016899200 138033798400
- Sum of all divisors σ(n): 372928631908
- Sum of proper divisors (its aliquot sum) s(n): 234894833508
- 138033798400 is an abundant number, because the sum of its proper divisors (234894833508) is greater than itself. Its abundance is 96861035108
Bases of 138033798400
- Binary: 100000001000110111010010011101000000002
- Hexadecimal: 0x2023749D00
- Base-36: 1RETRCHS
Squares and roots of 138033798400
- 138033798400 squared (1380337984002) is 19053329500731842560000
- 138033798400 cubed (1380337984003) is 2630003443152791808387579904000000
-
The
square root of 138033798400 is 371529.0007522967 -
The
cube root of 138033798400 is 5168.0710978215
Scales and comparisons
How big is 138033798400?- 138,033,798,400 seconds is equal to 4,389 years, 2 weeks, 3 days, 9 hours, 46 minutes, 40 seconds.
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To count from 1 to 138,033,798,400 would take you about eight thousand, seven hundred seventy-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 138033798400 cubic inches would be around 430.7 feet tall.
Recreational maths with 138033798400
- 138033798400 backwards is 004897330831
- The number of decimal digits it has is: 12
- The sum of 138033798400's digits is 46
- More coming soon!
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