138146401120
138,146,401,120 is an even composite number composed of seven prime numbers multiplied together.
138146401120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138146401120:
25 × 5 × 7 × 13 × 31 × 421 × 727
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 31 × 421 × 727)See below for interesting mathematical facts about the number 138146401120 from the Numbermatics database.
Names of 138146401120
- Cardinal: 138146401120 can be written as One hundred thirty-eight billion, one hundred forty-six million, four hundred one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3814640112 × 1011
Factors of 138146401120
Divisors of 138146401120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 31 32 35 40 52 56 62 65 70 80 91 104 112 124 130 140 155 160 182 208 217 224 248 260 280 310 364 403 416 421 434 455 496 520 560 620 727 728 806 842 868 910 992 1040 1085 1120 1240 1454 1456 1612 1684 1736 1820 2015 2080 2105 2170 2480 2821 2908 2912 2947 3224 3368 3472 3635 3640 4030 4210 4340 4960 5089 5473 5642 5816 5894 6448 6736 6944 7270 7280 8060 8420 8680 9451 10178 10946 11284 11632 11788 12896 13051 13472 14105 14540 14560 14735 16120 16840 17360 18902 20356 21892 22537 22568 23264 23576 25445 26102 27365 28210 29080 29470 32240 33680 34720 37804 38311 40712 43784 45074 45136 47152 47255 50890 52204 54730 56420 58160 58940 64480 65255 66157 67360 75608 76622 81424 87568 90148 90272 91357 94304 94510 101780 104408 109460 112685 112840 116320 117880 130510 132314 151216 153244 157759 162848 169663 175136 180296 182714 189020 191555 203560 208816 218920 225370 225680 235760 261020 264628 292981 302432 306067 306488 315518 330785 339326 360592 365428 378040 383110 407120 417632 437840 450740 451360 456785 471520 522040 529256 585962 612134 612976 631036 661570 678652 721184 730856 756080 766220 788795 814240 848315 875680 901480 913570 1044080 1058512 1171924 1187641 1224268 1225952 1262072 1323140 1357304 1461712 1464905 1512160 1530335 1532440 1577590 1696630 1802960 1827140 2050867 2088160 2117024 2142469 2343848 2375282 2448536 2524144 2646280 2714608 2923424 2929810 3060670 3064880 3155180 3393260 3605920 3654280 3978871 4101734 4284938 4687696 4750564 4897072 5048288 5292560 5429216 5859620 5938205 6121340 6129760 6310360 6786520 7308560 7957742 8203468 8569876 9375392 9488077 9501128 9794144 10254335 10585120 10712345 11719240 11876410 12242680 12620720 13573040 14617120 15915484 16406936 17139752 18976154 19002256 19894355 20508670 21424690 23438480 23752820 24485360 25241440 27146080 27852097 31830968 32813872 34279504 37952308 38004512 39788710 41017340 42849380 46876960 47440385 47505640 48970720 55704194 63661936 65627744 66416539 68559008 75904616 79577420 82034680 85698760 94880770 95011280 111408388 123345001 127323872 132833078 139260485 151809232 159154840 164069360 171397520 189761540 190022560 222816776 246690002 265666156 278520970 303618464 318309680 328138720 332082695 342795040 379523080 445633552 493380004 531332312 557041940 616725005 636619360 664165390 759046160 863415007 891267104 986760008 1062664624 1114083880 1233450010 1328330780 1518092320 1726830014 1973520016 2125329248 2228167760 2466900020 2656661560 3453660028 3947040032 4317075035 4456335520 4933800040 5313323120 6907320056 8634150070 9867600080 10626646240 13814640112 17268300140 19735200160 27629280224 34536600280 69073200560 138146401120
- Sum of all divisors σ(n): 416201490432
- Sum of proper divisors (its aliquot sum) s(n): 278055089312
- 138146401120 is an abundant number, because the sum of its proper divisors (278055089312) is greater than itself. Its abundance is 139908688192
Bases of 138146401120
- Binary: 100000001010100010101011001011011000002
- Hexadecimal: 0x202A2ACB60
- Base-36: 1RGOSTB4
Squares and roots of 138146401120
- 138146401120 squared (1381464011202) is 19084428142407937254400
- 138146401120 cubed (1381464011203) is 2636445065306903382618133884928000
-
The
square root of 138146401120 is 371680.5094701631 -
The
cube root of 138146401120 is 5169.4760211085
Scales and comparisons
How big is 138146401120?- 138,146,401,120 seconds is equal to 4,392 years, 32 weeks, 4 days, 16 hours, 18 minutes, 40 seconds.
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To count from 1 to 138,146,401,120 would take you about eight thousand, seven hundred eighty-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 138146401120 cubic inches would be around 430.8 feet tall.
Recreational maths with 138146401120
- 138146401120 backwards is 021104641831
- 138146401120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138146401120's digits is 31
- More coming soon!
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The information we have on file for 138146401120 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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