138316474560
138,316,474,560 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138316474560 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 672 divisors.
138316474560 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138316474560:
26 × 3 × 5 × 112 × 31 × 71 × 541
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 31 × 71 × 541)See below for interesting mathematical facts about the number 138316474560 from the Numbermatics database.
Names of 138316474560
- Cardinal: 138316474560 can be written as One hundred thirty-eight billion, three hundred sixteen million, four hundred seventy-four thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3831647456 × 1011
Factors of 138316474560
Divisors of 138316474560
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 32 33 40 44 48 55 60 62 64 66 71 80 88 93 96 110 120 121 124 132 142 155 160 165 176 186 192 213 220 240 242 248 264 284 310 320 330 341 352 355 363 372 426 440 465 480 484 496 528 541 568 605 620 660 682 704 710 726 744 781 852 880 930 960 968 992 1023 1056 1065 1082 1136 1210 1240 1320 1364 1420 1452 1488 1562 1623 1704 1705 1760 1815 1860 1936 1984 2046 2112 2130 2164 2201 2272 2343 2420 2480 2640 2705 2728 2840 2904 2976 3124 3246 3408 3410 3520 3630 3720 3751 3872 3905 4092 4260 4328 4402 4544 4686 4840 4960 5115 5280 5410 5456 5680 5808 5951 5952 6248 6492 6603 6816 6820 7260 7440 7502 7744 7810 8115 8184 8520 8591 8656 8804 9372 9680 9920 10230 10560 10820 10912 11005 11253 11360 11616 11715 11902 12496 12984 13206 13632 13640 14520 14880 15004 15620 16230 16368 16771 17040 17182 17312 17608 17853 18744 18755 19360 20460 21640 21824 22010 22506 22720 23232 23430 23804 24211 24992 25773 25968 26412 27280 29040 29755 29760 30008 31240 32460 32736 33015 33542 34080 34364 34624 35216 35706 37488 37510 38411 38720 40920 42955 43280 44020 45012 46860 47608 48422 49984 50313 51546 51936 52824 54560 56265 58080 59510 60016 62480 64920 65461 65472 66030 67084 68160 68728 70432 71412 72633 74976 75020 76822 81840 83855 85910 86560 88040 89265 90024 93720 95216 96844 100626 103092 103872 105648 109120 112530 115233 116160 119020 120032 121055 124960 128865 129840 130922 132060 134168 137456 140864 142824 145266 149952 150040 153644 163680 167710 171820 173120 176080 178530 180048 184481 187440 190432 192055 193688 196383 201252 206184 211296 225060 230466 238040 240064 242110 249920 251565 257730 259680 261844 264120 266321 268336 274912 285648 290532 300080 307288 327305 327360 335420 343640 352160 357060 360096 363165 368962 374880 380864 384110 387376 392766 402504 412368 422521 422592 450120 460932 476080 484220 503130 515460 519360 523688 528240 532642 536672 549824 553443 571296 576165 581064 600160 614576 654610 670840 687280 704320 714120 720192 726330 737924 749760 768220 774752 785532 798963 805008 824736 845042 900240 921864 922405 952160 968440 981915 1006260 1030920 1047376 1056480 1065284 1073344 1106886 1142592 1152330 1162128 1190741 1200320 1229152 1267563 1309220 1331605 1341680 1374560 1428240 1452660 1475848 1536440 1549504 1571064 1597926 1610016 1649472 1690084 1800480 1843728 1844810 1904320 1936880 1963830 2012520 2029291 2061840 2094752 2112605 2112960 2130568 2213772 2304660 2324256 2381482 2458304 2535126 2618440 2663210 2683360 2749120 2767215 2856480 2905320 2951696 3072880 3142128 3195852 3220032 3380168 3572223 3600960 3687456 3689620 3873760 3927660 3994815 4025040 4058582 4123680 4189504 4225210 4261136 4427544 4609320 4647731 4648512 4762964 5070252 5236880 5326420 5366720 5534430 5712960 5810640 5903392 5953705 6087873 6145760 6284256 6337815 6391704 6760336 7144446 7374912 7379240 7747520 7855320 7989630 8050080 8117164 8247360 8450420 8522272 8855088 9218640 9295462 9525928 10140504 10146455 10473760 10652840 11068860 11621280 11806784 11907410 12175746 12291520 12568512 12675630 12783408 13098151 13520672 13943193 14288892 14758480 15710640 15979260 16100160 16234328 16900840 17044544 17710176 17861115 18437280 18590924 19051856 20281008 20292910 20947520 21305680 22137720 23238655 23242560 23814820 24351492 25351260 25566816 26196302 27041344 27886386 28577784 29516960 30439365 31421280 31958520 32468656 33801680 35420352 35722230 36874560 37181848 38103712 39294453 40562016 40585820 42611360 44275440 46477310 47629640 48702984 50702520 51133632 52392604 55772772 57155568 59033920 60878730 62842560 63917040 64937312 65490755 67603360 69715965 71444460 74363696 76207424 78588906 81124032 81171640 85222720 88550880 92954620 95259280 97405968 101405040 104785208 111545544 114311136 121757460 127834080 129874624 130981510 135206720 139431930 142888920 144079661 148727392 157177812 162343280 177101760 185909240 190518560 194811936 196472265 202810080 209570416 223091088 228622272 243514920 255668160 261963020 278863860 285777840 288159322 297454784 314355624 324686560 371818480 381037120 389623872 392944530 405620160 419140832 432238983 446182176 487029840 523926040 557727720 571555680 576318644 628711248 649373120 720398305 743636960 785889060 838281664 864477966 892364352 974059680 1047852080 1115455440 1143111360 1152637288 1257422496 1440796610 1487273920 1571778120 1728955932 1948119360 2095704160 2161194915 2230910880 2305274576 2514844992 2881593220 3143556240 3457911864 4191408320 4322389830 4461821760 4610549152 5763186440 6287112480 6915823728 8644779660 9221098304 11526372880 12574224960 13831647456 17289559320 23052745760 27663294912 34579118640 46105491520 69158237280 138316474560
- Sum of all divisors σ(n): 506230566912
- Sum of proper divisors (its aliquot sum) s(n): 367914092352
- 138316474560 is an abundant number, because the sum of its proper divisors (367914092352) is greater than itself. Its abundance is 229597617792
Bases of 138316474560
- Binary: 100000001101000100110111101000110000002
- Hexadecimal: 0x20344DE8C0
- Base-36: 1RJI22TC
Squares and roots of 138316474560
- 138316474560 squared (1383164745602) is 19131447134707127193600
- 138316474560 cubed (1383164745603) is 2646194320903703251524258594816000
-
The
square root of 138316474560 is 371909.2289255537 -
The
cube root of 138316474560 is 5171.5965493205
Scales and comparisons
How big is 138316474560?- 138,316,474,560 seconds is equal to 4,398 years, 1 week, 6 days, 2 hours, 56 minutes.
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To count from 1 to 138,316,474,560 would take you about eight thousand, seven hundred ninety-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 138316474560 cubic inches would be around 431 feet tall.
Recreational maths with 138316474560
- 138316474560 backwards is 065474613831
- 138316474560 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138316474560's digits is 48
- More coming soon!
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The information we have on file for 138316474560 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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