138248790400
138,248,790,400 is an even composite number composed of six prime numbers multiplied together.
138248790400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138248790400:
27 × 52 × 7 × 31 × 263 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 31 × 263 × 757)See below for interesting mathematical facts about the number 138248790400 from the Numbermatics database.
Names of 138248790400
- Cardinal: 138248790400 can be written as One hundred thirty-eight billion, two hundred forty-eight million, seven hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.382487904 × 1011
Factors of 138248790400
Divisors of 138248790400
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 64 70 80 100 112 124 128 140 155 160 175 200 217 224 248 263 280 310 320 350 400 434 448 496 526 560 620 640 700 757 775 800 868 896 992 1052 1085 1120 1240 1315 1400 1514 1550 1600 1736 1841 1984 2104 2170 2240 2480 2630 2800 3028 3100 3200 3472 3682 3785 3968 4208 4340 4480 4960 5260 5299 5425 5600 6056 6200 6575 6944 7364 7570 8153 8416 8680 9205 9920 10520 10598 10850 11200 12112 12400 13150 13888 14728 15140 16306 16832 17360 18410 18925 19840 21040 21196 21700 22400 23467 24224 24800 26300 26495 27776 29456 30280 32612 33664 34720 36820 37850 40765 42080 42392 43400 46025 46934 48448 49600 52600 52990 57071 58912 60560 65224 69440 73640 75700 81530 84160 84784 86800 92050 93868 96896 99200 105200 105980 114142 117335 117824 121120 130448 132475 138880 147280 151400 163060 164269 168320 169568 173600 184100 187736 199091 203825 210400 211960 228284 234670 235648 242240 260896 264950 285355 294560 302800 326120 328538 339136 347200 368200 375472 398182 407650 420800 423920 456568 469340 484480 521792 529900 570710 586675 589120 605600 652240 657076 678272 694400 736400 750944 796364 815300 821345 841600 847840 913136 938680 995455 1043584 1059800 1141420 1173350 1178240 1211200 1304480 1314152 1393637 1426775 1472800 1501888 1592728 1630600 1642690 1695680 1826272 1877360 1990910 2119600 2282840 2346700 2422400 2608960 2628304 2787274 2853550 2945600 3003776 3185456 3261200 3285380 3391360 3652544 3754720 3981820 4106725 4239200 4565680 4693400 4977275 5217920 5256608 5574548 5707100 5891200 6171821 6370912 6522400 6570760 6968185 7305088 7509440 7963640 8213450 8478400 9131360 9386800 9954550 10513216 11149096 11414200 12343642 12741824 13044800 13141520 13936370 15018880 15927280 16426900 16956800 18262720 18773600 19909100 21026432 22298192 22828400 24687284 25483648 26089600 26283040 27872740 30859105 31854560 32853800 34840925 36525440 37547200 39818200 43202747 44596384 45656800 49374568 52566080 55745480 61718210 63709120 65707600 69681850 75094400 79636400 86405494 89192768 91313600 98749136 105132160 111490960 123436420 127418240 131415200 139363700 154295525 159272800 172810988 178385536 182627200 197498272 216013735 222981920 246872840 262830400 278727400 308591050 318545600 345621976 394996544 432027470 445963840 493745680 525660800 557454800 617182100 637091200 691243952 789993088 864054940 891927680 987491360 1080068675 1114909600 1234364200 1382487904 1728109880 1974982720 2160137350 2229819200 2468728400 2764975808 3456219760 3949965440 4320274700 4459638400 4937456800 5529951616 6912439520 8640549400 9874913600 13824879040 17281098800 19749827200 27649758080 34562197600 69124395200 138248790400
- Sum of all divisors σ(n): 404962652160
- Sum of proper divisors (its aliquot sum) s(n): 266713861760
- 138248790400 is an abundant number, because the sum of its proper divisors (266713861760) is greater than itself. Its abundance is 128465071360
Bases of 138248790400
- Binary: 100000001100000100010100100001100000002
- Hexadecimal: 0x2030452180
- Base-36: 1RIDRDDS
Squares and roots of 138248790400
- 138248790400 squared (1382487904002) is 19112728047063132160000
- 138248790400 cubed (1382487904003) is 2642311533750632293555339264000000
-
The
square root of 138248790400 is 371818.2222538319 -
The
cube root of 138248790400 is 5170.7528506445
Scales and comparisons
How big is 138248790400?- 138,248,790,400 seconds is equal to 4,395 years, 45 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
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To count from 1 to 138,248,790,400 would take you about eight thousand, seven hundred ninety-one 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 138248790400 cubic inches would be around 430.9 feet tall.
Recreational maths with 138248790400
- 138248790400 backwards is 004097842831
- The number of decimal digits it has is: 12
- The sum of 138248790400's digits is 46
- More coming soon!
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