133468920
133,468,920 is an even composite number composed of six prime numbers multiplied together.
133468920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 133468920:
23 × 32 × 5 × 13 × 192 × 79
(2 × 2 × 2 × 3 × 3 × 5 × 13 × 19 × 19 × 79)See below for interesting mathematical facts about the number 133468920 from the Numbermatics database.
Names of 133468920
- Cardinal: 133468920 can be written as One hundred thirty-three million, four hundred sixty-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3346892 × 108
Factors of 133468920
Divisors of 133468920
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 19 20 24 26 30 36 38 39 40 45 52 57 60 65 72 76 78 79 90 95 104 114 117 120 130 152 156 158 171 180 190 195 228 234 237 247 260 285 312 316 342 360 361 380 390 395 456 468 474 494 520 570 585 632 684 711 722 741 760 780 790 855 936 948 988 1027 1083 1140 1170 1185 1235 1368 1422 1444 1482 1501 1560 1580 1710 1805 1896 1976 2054 2166 2223 2280 2340 2370 2470 2844 2888 2964 3002 3081 3160 3249 3420 3555 3610 3705 4108 4332 4446 4503 4680 4693 4740 4940 5135 5415 5688 5928 6004 6162 6498 6840 7110 7220 7410 7505 8216 8664 8892 9006 9243 9386 9480 9880 10270 10830 11115 12008 12324 12996 13509 14079 14220 14440 14820 15010 15405 16245 17784 18012 18486 18772 19513 20540 21660 22230 22515 23465 24648 25992 27018 28158 28440 28519 29640 30020 30810 32490 36024 36972 37544 39026 41080 42237 43320 44460 45030 46215 46930 54036 56316 57038 58539 60040 61620 64980 67545 70395 73944 78052 84474 85557 88920 90060 92430 93860 97565 108072 112632 114076 117078 123240 129960 135090 140790 142595 156104 168948 171114 175617 180120 184860 187720 195130 211185 228152 234156 256671 270180 281580 285190 292695 337896 342228 351234 369720 370747 390260 422370 427785 468312 513342 540360 563160 570380 585390 684456 702468 741494 780520 844740 855570 878085 1026684 1112241 1140760 1170780 1283355 1404936 1482988 1689480 1711140 1756170 1853735 2053368 2224482 2341560 2566710 2965976 3336723 3422280 3512340 3707470 4448964 5133420 5561205 6673446 7024680 7414940 8897928 10266840 11122410 13346892 14829880 16683615 22244820 26693784 33367230 44489640 66734460 133468920
- Sum of all divisors σ(n): 499262400
- Sum of proper divisors (its aliquot sum) s(n): 365793480
- 133468920 is an abundant number, because the sum of its proper divisors (365793480) is greater than itself. Its abundance is 232324560
Bases of 133468920
- Binary: 1111111010010010010111110002
- Hexadecimal: 0x7F492F8
- Base-36: 27GPA0
Squares and roots of 133468920
- 133468920 squared (1334689202) is 17813952605966400
- 133468920 cubed (1334689203) is 2377609015249520964288000
-
The
square root of 133468920 is 11552.8749668643 -
The
cube root of 133468920 is 511.0460651661
Scales and comparisons
How big is 133468920?- 133,468,920 seconds is equal to 4 years, 12 weeks, 4 days, 18 hours, 42 minutes.
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To count from 1 to 133,468,920 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 133468920 cubic inches would be around 42.6 feet tall.
Recreational maths with 133468920
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