138077940
138,077,940 is an even composite number composed of seven prime numbers multiplied together.
138077940 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 138077940:
22 × 3 × 5 × 7 × 113 × 13 × 19
(2 × 2 × 3 × 5 × 7 × 11 × 11 × 11 × 13 × 19)See below for interesting mathematical facts about the number 138077940 from the Numbermatics database.
Names of 138077940
- Cardinal: 138077940 can be written as One hundred thirty-eight million, seventy-seven thousand, nine hundred forty.
Scientific notation
- Scientific notation: 1.3807794 × 108
Factors of 138077940
Divisors of 138077940
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 10 11 12 13 14 15 19 20 21 22 26 28 30 33 35 38 39 42 44 52 55 57 60 65 66 70 76 77 78 84 91 95 105 110 114 121 130 132 133 140 143 154 156 165 182 190 195 209 210 220 228 231 242 247 260 266 273 285 286 308 330 363 364 380 385 390 399 418 420 429 455 462 484 494 532 546 570 572 605 627 660 665 715 726 741 770 780 798 836 847 858 910 924 988 1001 1045 1092 1140 1155 1210 1235 1254 1330 1331 1365 1430 1452 1463 1482 1540 1573 1596 1694 1716 1729 1815 1820 1995 2002 2090 2145 2299 2310 2420 2470 2508 2541 2660 2662 2717 2730 2860 2926 2964 3003 3135 3146 3388 3458 3630 3705 3990 3993 4004 4180 4235 4290 4389 4598 4620 4719 4940 5005 5082 5187 5324 5434 5460 5852 6006 6270 6292 6655 6897 6916 7260 7315 7410 7865 7980 7986 8151 8470 8580 8645 8778 9196 9317 9438 10010 10164 10374 10868 11011 11495 12012 12540 12705 13310 13585 13794 14630 14820 15015 15730 15972 16093 16302 16940 17290 17303 17556 18634 18876 19019 19965 20020 20748 21945 22022 22990 23595 25289 25410 25935 26620 27170 27588 27951 29260 29887 30030 31460 32186 32604 33033 34485 34580 34606 37268 38038 39930 40755 43890 44044 45980 46585 47190 48279 50578 50820 51870 51909 54340 55055 55902 57057 59774 60060 64372 66066 68970 69212 75867 76076 79860 80465 81510 86515 87780 89661 93170 94380 95095 96558 101156 103740 103818 110110 111804 114114 119548 121121 126445 132132 137940 139755 149435 151734 160930 163020 165165 173030 177023 179322 186340 190190 193116 207636 209209 220220 228228 241395 242242 252890 259545 279510 285285 298870 303468 321860 328757 330330 346060 354046 358644 363363 379335 380380 418418 448305 482790 484484 505780 519090 531069 559020 570570 597740 605605 627627 657514 660660 708092 726726 758670 836836 885115 896610 965580 986271 1038180 1046045 1062138 1141140 1211210 1255254 1315028 1453452 1517340 1643785 1770230 1793220 1816815 1972542 2092090 2124276 2301299 2422420 2510508 2655345 3138135 3287570 3540460 3633630 3945084 4184180 4602598 4931355 5310690 6276270 6575140 6903897 7267260 9205196 9862710 10621380 11506495 12552540 13807794 19725420 23012990 27615588 34519485 46025980 69038970 138077940
- Sum of all divisors σ(n): 550932480
- Sum of proper divisors (its aliquot sum) s(n): 412854540
- 138077940 is an abundant number, because the sum of its proper divisors (412854540) is greater than itself. Its abundance is 274776600
Bases of 138077940
- Binary: 10000011101011100110111101002
- Hexadecimal: 0x83AE6F4
- Base-36: 2A7HMC
Squares and roots of 138077940
- 138077940 squared (1380779402) is 19065517514643600
- 138077940 cubed (1380779403) is 2632527383455908122184000
-
The
square root of 138077940 is 11750.6570029083 -
The
cube root of 138077940 is 516.8621935411
Scales and comparisons
How big is 138077940?- 138,077,940 seconds is equal to 4 years, 20 weeks, 2 days, 2 hours, 59 minutes.
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To count from 1 to 138,077,940 would take you about 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 138077940 cubic inches would be around 43.1 feet tall.
Recreational maths with 138077940
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