138290384960
138,290,384,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138290384960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 448 divisors.
138290384960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138290384960:
26 × 5 × 7 × 13 × 31 × 307 × 499
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 31 × 307 × 499)See below for interesting mathematical facts about the number 138290384960 from the Numbermatics database.
Names of 138290384960
- Cardinal: 138290384960 can be written as One hundred thirty-eight billion, two hundred ninety million, three hundred eighty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3829038496 × 1011
Factors of 138290384960
Divisors of 138290384960
- Number of divisors d(n): 448
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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 64 65 70 80 91 104 112 124 130 140 155 160 182 208 217 224 248 260 280 307 310 320 364 403 416 434 448 455 496 499 520 560 614 620 728 806 832 868 910 992 998 1040 1085 1120 1228 1240 1456 1535 1612 1736 1820 1984 1996 2015 2080 2149 2170 2240 2456 2480 2495 2821 2912 3070 3224 3472 3493 3640 3991 3992 4030 4160 4298 4340 4912 4960 4990 5642 5824 6140 6448 6487 6944 6986 7280 7982 7984 8060 8596 8680 9517 9824 9920 9980 10745 11284 12280 12896 12974 13888 13972 14105 14560 15469 15964 15968 16120 17192 17360 17465 19034 19648 19955 19960 21490 22568 24560 25792 25948 27937 27944 28210 29120 30938 31928 31936 32240 32435 34384 34720 34930 38068 39910 39920 42980 45136 45409 47585 49120 51896 55874 55888 56420 61876 63856 64480 64870 66619 68768 69440 69860 76136 77345 79820 79840 85960 90272 90818 95170 98240 103792 108283 111748 111776 112840 123721 123752 127712 128960 129740 133238 137536 139685 139720 152272 153193 154690 159640 159680 171920 180544 181636 190340 201097 207584 216566 223496 223552 225680 227045 247442 247504 255424 259480 266476 279370 279440 304544 306386 309380 319280 333095 343840 363272 380680 402194 415168 433132 446992 451360 454090 494884 495008 518960 532952 541415 558740 558880 609088 612772 618605 618760 638560 666190 687680 726544 761360 765965 804388 866047 866264 893984 902720 908180 989768 990016 1005485 1037920 1065904 1072351 1082830 1117480 1117760 1225544 1237210 1237520 1277120 1332380 1407679 1453088 1522720 1531930 1608776 1732094 1732528 1787968 1816360 1979536 1991509 2010970 2075840 2131808 2144702 2165660 2234960 2451088 2474420 2475040 2664760 2815358 2906176 3045440 3063860 3217552 3464188 3465056 3632720 3959072 3983018 4021940 4263616 4289404 4330235 4331320 4469920 4748983 4902176 4948840 4950080 5329520 5361755 5630716 6127720 6435104 6928376 6930112 7038395 7265440 7918144 7966036 8043880 8578808 8660470 8662640 8939840 9497966 9804352 9897680 9957545 10659040 10723510 11261432 12255440 12870208 13856752 13940563 14076790 14530880 15932072 16087760 17157616 17320940 17325280 18995932 19795360 19915090 21318080 21447020 22522864 23744915 24510880 27713504 27881126 28153580 31864144 32175520 33242881 34315232 34641880 34650560 37991864 39590720 39830180 42894040 45045728 47489830 49021760 55427008 55762252 56307160 61736779 63728288 64351040 66485762 68630464 69283760 69702815 75983728 79660360 85788080 90091456 94979660 111524504 112614320 123473558 127456576 132971524 138567520 139405630 151967456 159320720 166214405 171576160 189959320 223049008 225228640 246947116 265943048 277135040 278811260 303934912 308683895 318641440 332428810 343152320 379918640 432157453 446098016 450457280 493894232 531886096 557622520 617367790 637282880 664857620 759837280 864314906 892196032 987788464 1063772192 1115245040 1234735580 1329715240 1519674560 1728629812 1975576928 2127544384 2160787265 2230490080 2469471160 2659430480 3457259624 3951153856 4321574530 4460980160 4938942320 5318860960 6914519248 8643149060 9877884640 10637721920 13829038496 17286298120 19755769280 27658076992 34572596240 69145192480 138290384960
- Sum of all divisors σ(n): 420575232000
- Sum of proper divisors (its aliquot sum) s(n): 282284847040
- 138290384960 is an abundant number, because the sum of its proper divisors (282284847040) is greater than itself. Its abundance is 143994462080
Bases of 138290384960
- Binary: 100000001100101011111111010000010000002
- Hexadecimal: 0x2032BFD040
- Base-36: 1RJ2IVY8
Squares and roots of 138290384960
- 138290384960 squared (1382903849602) is 19124230572384994201600
- 138290384960 cubed (1382903849603) is 2644697207918921993466631847936000
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The
square root of 138290384960 is 371874.1520460921 -
The
cube root of 138290384960 is 5171.2713690413
Scales and comparisons
How big is 138290384960?- 138,290,384,960 seconds is equal to 4,397 years, 10 weeks, 5 days, 3 hours, 49 minutes, 20 seconds.
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To count from 1 to 138,290,384,960 would take you about eight thousand, seven hundred ninety-four 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 138290384960 cubic inches would be around 430.9 feet tall.
Recreational maths with 138290384960
- 138290384960 backwards is 069483092831
- The number of decimal digits it has is: 12
- The sum of 138290384960's digits is 53
- More coming soon!
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