132214680
132,214,680 is an even composite number composed of six prime numbers multiplied together.
132214680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 132214680:
23 × 34 × 5 × 13 × 43 × 73
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 43 × 73)See below for interesting mathematical facts about the number 132214680 from the Numbermatics database.
Names of 132214680
- Cardinal: 132214680 can be written as One hundred thirty-two million, two hundred fourteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3221468 × 108
Factors of 132214680
Divisors of 132214680
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 43 45 52 54 60 65 72 73 78 81 86 90 104 108 117 120 129 130 135 146 156 162 172 180 195 215 216 219 234 258 260 270 292 312 324 344 351 360 365 387 390 405 430 438 468 516 520 540 559 584 585 645 648 657 702 730 774 780 810 860 876 936 949 1032 1053 1080 1095 1118 1161 1170 1290 1314 1404 1460 1548 1560 1620 1677 1720 1752 1755 1898 1935 1971 2106 2190 2236 2322 2340 2580 2628 2795 2808 2847 2920 3096 3139 3240 3285 3354 3483 3510 3796 3870 3942 4212 4380 4472 4644 4680 4745 5031 5160 5256 5265 5590 5694 5805 5913 6278 6570 6708 6966 7020 7592 7740 7884 8385 8424 8541 8760 9288 9417 9490 9855 10062 10530 11180 11388 11610 11826 12556 13140 13416 13932 14040 14235 15093 15480 15695 15768 16770 17082 17415 18834 18980 19710 20124 21060 22360 22776 23220 23652 25112 25155 25623 26280 27864 28251 28470 29565 30186 31390 33540 34164 34830 37668 37960 39420 40248 40807 42120 42705 45279 46440 47085 47304 50310 51246 56502 56940 59130 60372 62780 67080 68328 69660 75336 75465 76869 78840 81614 84753 85410 90558 94170 100620 102492 113004 113880 118260 120744 122421 125560 128115 139320 141255 150930 153738 163228 169506 170820 181116 188340 201240 204035 204984 226008 226395 236520 244842 254259 256230 282510 301860 307476 326456 339012 341640 362232 367263 376680 384345 408070 423765 452790 489684 508518 512460 565020 603720 612105 614952 678024 734526 768690 816140 847530 905580 979368 1017036 1024920 1101789 1130040 1224210 1271295 1469052 1537380 1632280 1695060 1811160 1836315 2034072 2203578 2448420 2542590 2938104 3074760 3305367 3390120 3672630 4407156 4896840 5085180 5508945 6610734 7345260 8814312 10170360 11017890 13221468 14690520 16526835 22035780 26442936 33053670 44071560 66107340 132214680
- Sum of all divisors σ(n): 496409760
- Sum of proper divisors (its aliquot sum) s(n): 364195080
- 132214680 is an abundant number, because the sum of its proper divisors (364195080) is greater than itself. Its abundance is 231980400
Bases of 132214680
- Binary: 1111110000101101111100110002
- Hexadecimal: 0x7E16F98
- Base-36: 26PTI0
Squares and roots of 132214680
- 132214680 squared (1322146802) is 17480721607502400
- 132214680 cubed (1322146803) is 2311208013505015415232000
-
The
square root of 132214680 is 11498.4642452807 -
The
cube root of 132214680 is 509.4402162473
Scales and comparisons
How big is 132214680?- 132,214,680 seconds is equal to 4 years, 10 weeks, 4 days, 6 hours, 18 minutes.
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To count from 1 to 132,214,680 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 132214680 cubic inches would be around 42.5 feet tall.
Recreational maths with 132214680
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