138007448400
138,007,448,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138007448400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
138007448400 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 138007448400:
24 × 3 × 52 × 17 × 972 × 719
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 97 × 97 × 719)See below for interesting mathematical facts about the number 138007448400 from the Numbermatics database.
Names of 138007448400
- Cardinal: 138007448400 can be written as One hundred thirty-eight billion, seven million, four hundred forty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.380074484 × 1011
Factors of 138007448400
Divisors of 138007448400
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 97 100 102 120 136 150 170 194 200 204 240 255 272 291 300 340 388 400 408 425 485 510 582 600 680 719 776 816 850 970 1020 1164 1200 1275 1360 1438 1455 1552 1649 1700 1940 2040 2157 2328 2425 2550 2876 2910 3298 3400 3595 3880 4080 4314 4656 4850 4947 5100 5752 5820 6596 6800 7190 7275 7760 8245 8628 9409 9700 9894 10200 10785 11504 11640 12223 13192 14380 14550 16490 17256 17975 18818 19400 19788 20400 21570 23280 24446 24735 26384 28227 28760 29100 32980 34512 35950 36669 37636 38800 39576 41225 43140 47045 48892 49470 53925 56454 57520 58200 61115 65960 69743 71900 73338 75272 79152 82450 86280 94090 97784 98940 107850 112908 116400 122230 123675 131920 139486 141135 143800 146676 150544 159953 164900 172560 183345 188180 195568 197880 209229 215700 225816 235225 244460 247350 278972 282270 287600 293352 305575 319906 329800 348715 366690 376360 395760 418458 431400 451632 470450 479859 488920 494700 557944 564540 586704 611150 639812 659600 697430 705675 733380 752720 799765 836916 862800 916725 940900 959718 977840 989400 1046145 1115888 1129080 1185631 1222300 1279624 1394860 1411350 1466760 1599530 1673832 1743575 1833450 1881800 1919436 1978800 2092290 2258160 2371262 2399295 2444600 2559248 2789720 2822700 2933520 3199060 3347664 3487150 3556893 3666900 3763600 3838872 3998825 4184580 4742524 4798590 4889200 5230725 5579440 5645400 5928155 6398120 6765071 6974300 7113786 7333800 7677744 7997650 8369160 9485048 9597180 10461450 11290800 11856310 11996475 12796240 13530142 13948600 14227572 14667600 15995300 16738320 17784465 18970096 19194360 20295213 20922900 23712620 23992950 27060284 27897200 28455144 29640775 31990600 33825355 35568930 38388720 40590426 41845800 47425240 47985900 54120568 56910288 59281550 63981200 67650710 71137860 81180852 83691600 88922325 94850480 95971800 101476065 108241136 115006207 118563100 135301420 142275720 162361704 169126775 177844650 191943600 202952130 230012414 237126200 270602840 284551440 324723408 338253550 345018621 355689300 405904260 460024828 474252400 507380325 541205680 575031035 676507100 690037242 711378600 811808520 920049656 1014760650 1150062070 1353014200 1380074484 1422757200 1623617040 1725093105 1840099312 2029521300 2300124140 2706028400 2760148968 2875155175 3450186210 4059042600 4600248280 5520297936 5750310350 6900372420 8118085200 8625465525 9200496560 11500620700 13800744840 17250931050 23001241400 27601489680 34501862100 46002482800 69003724200 138007448400
- Sum of all divisors σ(n): 473622007680
- Sum of proper divisors (its aliquot sum) s(n): 335614559280
- 138007448400 is an abundant number, because the sum of its proper divisors (335614559280) is greater than itself. Its abundance is 197607110880
Bases of 138007448400
- Binary: 100000001000011110001010001011010100002
- Hexadecimal: 0x2021E28B50
- Base-36: 1REE2KPC
Squares and roots of 138007448400
- 138007448400 squared (1380074484002) is 19046055813878662560000
- 138007448400 cubed (1380074484003) is 2628497564957379527110211904000000
-
The
square root of 138007448400 is 371493.5374942611 -
The
cube root of 138007448400 is 5167.7422234415
Scales and comparisons
How big is 138007448400?- 138,007,448,400 seconds is equal to 4,388 years, 10 weeks, 6 days, 10 hours, 20 minutes.
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To count from 1 to 138,007,448,400 would take you about eight thousand, seven hundred seventy-six 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 138007448400 cubic inches would be around 430.6 feet tall.
Recreational maths with 138007448400
- 138007448400 backwards is 004844700831
- The number of decimal digits it has is: 12
- The sum of 138007448400's digits is 39
- More coming soon!
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