138270175680
138,270,175,680 is an even composite number composed of six prime numbers multiplied together.
138270175680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 138270175680:
26 × 3 × 5 × 72 × 132 × 17393
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 13 × 17393)See below for interesting mathematical facts about the number 138270175680 from the Numbermatics database.
Names of 138270175680
- Cardinal: 138270175680 can be written as One hundred thirty-eight billion, two hundred seventy million, one hundred seventy-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3827017568 × 1011
Factors of 138270175680
Divisors of 138270175680
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 49 52 56 60 64 65 70 78 80 84 91 96 98 104 105 112 120 130 140 147 156 160 168 169 182 192 195 196 208 210 224 240 245 260 273 280 294 312 320 336 338 364 390 392 416 420 448 455 480 490 507 520 546 560 588 624 637 672 676 728 735 780 784 832 840 845 910 960 980 1014 1040 1092 1120 1176 1183 1248 1274 1344 1352 1365 1456 1470 1560 1568 1680 1690 1820 1911 1960 2028 2080 2184 2240 2352 2366 2496 2535 2548 2704 2730 2912 2940 3120 3136 3185 3360 3380 3549 3640 3822 3920 4056 4160 4368 4704 4732 5070 5096 5408 5460 5824 5880 5915 6240 6370 6720 6760 7098 7280 7644 7840 8112 8281 8736 9408 9464 9555 10140 10192 10816 10920 11760 11830 12480 12740 13520 14196 14560 15288 15680 16224 16562 17393 17472 17745 18928 19110 20280 20384 21840 23520 23660 24843 25480 27040 28392 29120 30576 32448 33124 34786 35490 37856 38220 40560 40768 41405 43680 47040 47320 49686 50960 52179 54080 56784 61152 66248 69572 70980 75712 76440 81120 82810 86965 87360 94640 99372 101920 104358 113568 121751 122304 124215 132496 139144 141960 152880 162240 165620 173930 189280 198744 203840 208716 226109 227136 243502 248430 260895 264992 278288 283920 305760 331240 347860 365253 378560 397488 417432 452218 487004 496860 521790 529984 556576 567840 608755 611520 662480 678327 695720 730506 794976 834864 852257 904436 974008 993720 1043580 1113152 1130545 1135680 1217510 1324960 1356654 1391440 1461012 1582763 1589952 1669728 1704514 1808872 1826265 1948016 1987440 2087160 2261090 2435020 2556771 2649920 2713308 2782880 2922024 2939417 3165526 3339456 3391635 3409028 3617744 3652530 3896032 3974880 4174320 4261285 4522180 4748289 4870040 5113542 5426616 5565760 5844048 5878834 6331052 6783270 6818056 7235488 7305060 7792064 7913815 7949760 8348640 8522570 8818251 9044360 9496578 9740080 10227084 10853232 11079341 11688096 11757668 12662104 12783855 13566540 13636112 14470976 14610120 14697085 15827630 16697280 17045140 17636502 18088720 18993156 19480160 20454168 20575919 21706464 22158682 23376192 23515336 23741445 25324208 25567710 27133080 27272224 29220240 29394170 31655260 33238023 34090280 35273004 36177440 37986312 38960320 40908336 41151838 43412928 44091255 44317364 47030672 47482890 50648416 51135420 54266160 54544448 55396705 58440480 58788340 61727757 63310520 66476046 68180560 70546008 72354880 75972624 81816672 82303676 88182510 88634728 94061344 94965780 101296832 102270840 102879595 108532320 110793410 116880960 117576680 123455514 126621040 132952092 136361120 141092016 144031433 151945248 163633344 164607352 166190115 176365020 177269456 188122688 189931560 204541680 205759190 217064640 221586820 235153360 246911028 253242080 265904184 272722240 282184032 288062866 303890496 308638785 329214704 332380230 352730040 354538912 379863120 409083360 411518380 432094299 443173640 470306720 493822056 506484160 531808368 564368064 576125732 617277570 658429408 664760460 705460080 709077824 720157165 759726240 818166720 823036760 864188598 886347280 940613440 987644112 1063616736 1152251464 1234555140 1316858816 1329520920 1410920160 1440314330 1519452480 1646073520 1728377196 1772694560 1975288224 2127233472 2160471495 2304502928 2469110280 2659041840 2821840320 2880628660 3292147040 3456754392 3545389120 3950576448 4320942990 4609005856 4938220560 5318083680 5761257320 6584294080 6913508784 8641885980 9218011712 9876441120 10636167360 11522514640 13827017568 17283771960 19752882240 23045029280 27654035136 34567543920 46090058560 69135087840 138270175680
- Sum of all divisors σ(n): 553019409072
- Sum of proper divisors (its aliquot sum) s(n): 414749233392
- 138270175680 is an abundant number, because the sum of its proper divisors (414749233392) is greater than itself. Its abundance is 276479057712
Bases of 138270175680
- Binary: 100000001100011000101101110001110000002
- Hexadecimal: 0x20318B71C0
- Base-36: 1RIQHQDC
Squares and roots of 138270175680
- 138270175680 squared (1382701756802) is 19118641482578063462400
- 138270175680 cubed (1382701756803) is 2643537916559004494260237074432000
-
The
square root of 138270175680 is 371846.9788501717 -
The
cube root of 138270175680 is 5171.0194528477
Scales and comparisons
How big is 138270175680?- 138,270,175,680 seconds is equal to 4,396 years, 29 weeks, 2 days, 6 hours, 8 minutes.
-
To count from 1 to 138,270,175,680 would take you about eight thousand, seven hundred ninety-three 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 138270175680 cubic inches would be around 430.9 feet tall.
Recreational maths with 138270175680
- 138270175680 backwards is 086571072831
- 138270175680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138270175680's digits is 48
- More coming soon!
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