972112050
972,112,050 is an even composite number composed of seven prime numbers multiplied together.
972112050 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 972112050:
2 × 33 × 52 × 7 × 13 × 41 × 193
(2 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 41 × 193)See below for interesting mathematical facts about the number 972112050 from the Numbermatics database.
Names of 972112050
- Cardinal: 972112050 can be written as Nine hundred seventy-two million, one hundred twelve thousand and fifty.
Scientific notation
- Scientific notation: 9.7211205 × 108
Factors of 972112050
Divisors of 972112050
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 27 30 35 39 41 42 45 50 54 63 65 70 75 78 82 90 91 105 117 123 126 130 135 150 175 182 189 193 195 205 210 225 234 246 270 273 287 315 325 350 351 369 378 386 390 410 450 455 525 533 546 574 579 585 615 630 650 675 702 738 819 861 910 945 965 975 1025 1050 1066 1107 1158 1170 1230 1350 1351 1365 1435 1575 1599 1638 1722 1737 1755 1845 1890 1930 1950 2050 2214 2275 2457 2509 2583 2665 2702 2730 2870 2895 2925 3075 3150 3198 3474 3510 3690 3731 4053 4095 4305 4550 4725 4797 4825 4914 5018 5166 5211 5330 5535 5790 5850 6150 6755 6825 7175 7462 7527 7749 7913 7995 8106 8190 8610 8685 8775 9225 9450 9594 9650 10422 11070 11193 12159 12285 12545 12915 13325 13510 13650 14350 14391 14475 15054 15498 15826 15990 17370 17550 17563 18450 18655 20265 20475 21525 22386 22581 23739 23985 24318 24570 25090 25830 26055 26650 27675 28782 28950 33579 33775 35126 36477 37310 37635 38745 39565 39975 40530 40950 43050 43425 45162 47478 47970 52110 52689 55350 55391 55965 60795 61425 62725 64575 67158 67550 67743 71217 71955 72954 75270 77490 79130 79950 86850 87815 93275 100737 101325 102869 105378 110782 111930 112905 118695 119925 121590 122850 125450 129150 130275 135486 142434 143910 158067 166173 167895 175630 182385 186550 188175 193725 197825 201474 202650 205738 213651 225810 237390 239850 260550 263445 276955 279825 303975 308607 316134 332346 335790 338715 356085 359775 364770 376350 387450 395650 427302 439075 474201 498519 503685 514345 526890 553910 559650 564525 593475 607950 617214 677430 712170 719550 720083 790335 830865 839475 878150 911925 925821 948402 997038 1007370 1028690 1068255 1129050 1186950 1317225 1384775 1440166 1495557 1543035 1580670 1661730 1678950 1693575 1780425 1823850 1851642 2136510 2160249 2371005 2492595 2518425 2571725 2634450 2769550 2777463 2991114 3086070 3387150 3560850 3600415 3951675 4154325 4320498 4629105 4742010 4985190 5036850 5143450 5341275 5554926 6480747 7200830 7477785 7715175 7903350 8308650 9258210 10682550 10801245 11855025 12462975 12961494 13887315 14955570 15430350 18002075 19442241 21602490 23145525 23710050 24925950 27774630 32403735 36004150 37388925 38884482 46291050 54006225 64807470 69436575 74777850 97211205 108012450 138873150 162018675 194422410 324037350 486056025 972112050
- Sum of all divisors σ(n): 3394782720
- Sum of proper divisors (its aliquot sum) s(n): 2422670670
- 972112050 is an abundant number, because the sum of its proper divisors (2422670670) is greater than itself. Its abundance is 1450558620
Bases of 972112050
- Binary: 1110011111000101000000101100102
- Hexadecimal: 0x39F140B2
- Base-36: G2RQGI
Squares and roots of 972112050
- 972112050 squared (9721120502) is 945001837755202500
- 972112050 cubed (9721120503) is 918647673753977300440125000
-
The
square root of 972112050 is 31178.7114871673 -
The
cube root of 972112050 is 990.6162370895
Scales and comparisons
How big is 972112050?- 972,112,050 seconds is equal to 30 years, 47 weeks, 2 days, 7 hours, 7 minutes, 30 seconds.
-
To count from 1 to 972,112,050 would take you about forty-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 972112050 cubic inches would be around 82.6 feet tall.
Recreational maths with 972112050
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