138212312400
138,212,312,400 is an even composite number composed of six prime numbers multiplied together.
138212312400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138212312400:
24 × 32 × 52 × 97 × 157 × 2521
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 97 × 157 × 2521)See below for interesting mathematical facts about the number 138212312400 from the Numbermatics database.
Names of 138212312400
- Cardinal: 138212312400 can be written as One hundred thirty-eight billion, two hundred twelve million, three hundred twelve thousand, four hundred.
Scientific notation
- Scientific notation: 1.382123124 × 1011
Factors of 138212312400
Divisors of 138212312400
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 97 100 120 144 150 157 180 194 200 225 240 291 300 314 360 388 400 450 471 485 582 600 628 720 776 785 873 900 942 970 1164 1200 1256 1413 1455 1552 1570 1746 1800 1884 1940 2328 2355 2425 2512 2521 2826 2910 3140 3492 3600 3768 3880 3925 4365 4656 4710 4850 5042 5652 5820 6280 6984 7065 7275 7536 7563 7760 7850 8730 9420 9700 10084 11304 11640 11775 12560 12605 13968 14130 14550 15126 15229 15700 17460 18840 19400 20168 21825 22608 22689 23280 23550 25210 28260 29100 30252 30458 31400 34920 35325 37680 37815 38800 40336 43650 45378 45687 47100 50420 56520 58200 60504 60916 62800 63025 69840 70650 75630 76145 87300 90756 91374 94200 100840 113040 113445 116400 121008 121832 126050 137061 141300 151260 152290 174600 181512 182748 188400 189075 201680 226890 228435 243664 244537 252100 274122 282600 302520 304580 349200 363024 365496 378150 380725 395797 453780 456870 489074 504200 548244 565200 567225 605040 609160 685305 730992 733611 756300 761450 791594 907560 913740 978148 1008400 1096488 1134450 1142175 1187391 1218320 1222685 1370610 1467222 1512600 1522900 1583188 1815120 1827480 1956296 1978985 2192976 2200833 2268900 2284350 2374782 2445370 2741220 2934444 3025200 3045800 3166376 3426525 3562173 3654960 3668055 3912592 3957970 4401666 4537800 4568700 4749564 4890740 5482440 5868888 5936955 6091600 6113425 6332752 6853050 7124346 7336110 7915940 8803332 9075600 9137400 9499128 9781480 9894925 10964880 11004165 11737776 11873910 12226850 13706100 14248692 14672220 15831880 17606664 17810865 18274800 18340275 18998256 19562960 19789850 22008330 23747820 24453700 27412200 28497384 29344440 29684775 31663760 35213328 35621730 36680550 38392309 39579700 44016660 47495640 48907400 54824400 55020825 56994768 58688880 59369550 71243460 73361100 76784618 79159400 88033320 89054325 94991280 97814800 110041650 115176927 118739100 142486920 146722200 153569236 158318800 176066640 178108650 191961545 220083300 230353854 237478200 284973840 293444400 307138472 345530781 356217300 383923090 440166600 460707708 474956400 575884635 614276944 691061562 712434600 767846180 880333200 921415416 959807725 1151769270 1382123124 1424869200 1535692360 1727653905 1842830832 1919615450 2303538540 2764246248 2879423175 3071384720 3455307810 3839230900 4607077080 5528492496 5758846350 6910615620 7678461800 8638269525 9214154160 11517692700 13821231240 15356923600 17276539050 23035385400 27642462480 34553078100 46070770800 69106156200 138212312400
- Sum of all divisors σ(n): 487859745464
- Sum of proper divisors (its aliquot sum) s(n): 349647433064
- 138212312400 is an abundant number, because the sum of its proper divisors (349647433064) is greater than itself. Its abundance is 211435120664
Bases of 138212312400
- Binary: 100000001011100001100010000101010100002
- Hexadecimal: 0x202E188550
- Base-36: 1RHS1IS0
Squares and roots of 138212312400
- 138212312400 squared (1382123124002) is 19102643298955193760000
- 138212312400 cubed (1382123124003) is 2640220503300961833559650624000000
-
The
square root of 138212312400 is 371769.1654777195 -
The
cube root of 138212312400 is 5170.2980297525
Scales and comparisons
How big is 138212312400?- 138,212,312,400 seconds is equal to 4,394 years, 37 weeks, 4 days, 13 hours.
-
To count from 1 to 138,212,312,400 would take you about eight thousand, seven hundred eighty-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 138212312400 cubic inches would be around 430.9 feet tall.
Recreational maths with 138212312400
- 138212312400 backwards is 004213212831
- The number of decimal digits it has is: 12
- The sum of 138212312400's digits is 27
- More coming soon!
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