117237120
117,237,120 is an even composite number composed of seven prime numbers multiplied together.
117237120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 117237120:
27 × 3 × 5 × 7 × 11 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 61)See below for interesting mathematical facts about the number 117237120 from the Numbermatics database.
Names of 117237120
- Cardinal: 117237120 can be written as One hundred seventeen million, two hundred thirty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.1723712 × 108
Factors of 117237120
Divisors of 117237120
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 26 28 30 32 33 35 39 40 42 44 48 52 55 56 60 61 64 65 66 70 77 78 80 84 88 91 96 104 105 110 112 120 122 128 130 132 140 143 154 156 160 165 168 176 182 183 192 195 208 210 220 224 231 240 244 260 264 273 280 286 305 308 312 320 330 336 352 364 366 384 385 390 416 420 427 429 440 448 455 462 480 488 520 528 546 560 572 610 616 624 640 660 671 672 704 715 728 732 770 780 793 832 840 854 858 880 896 910 915 924 960 976 1001 1040 1056 1092 1120 1144 1155 1220 1232 1248 1281 1320 1342 1344 1365 1408 1430 1456 1464 1540 1560 1586 1664 1680 1708 1716 1760 1820 1830 1848 1920 1952 2002 2013 2080 2112 2135 2145 2184 2240 2288 2310 2379 2440 2464 2496 2562 2640 2684 2688 2730 2860 2912 2928 3003 3080 3120 3172 3355 3360 3416 3432 3520 3640 3660 3696 3904 3965 4004 4026 4160 4224 4270 4290 4368 4480 4576 4620 4697 4758 4880 4928 4992 5005 5124 5280 5368 5460 5551 5720 5824 5856 6006 6160 6240 6344 6405 6710 6720 6832 6864 7040 7280 7320 7392 7808 7930 8008 8052 8320 8540 8580 8723 8736 9152 9240 9394 9516 9760 9856 10010 10065 10248 10560 10736 10920 11102 11440 11648 11712 11895 12012 12320 12480 12688 12810 13420 13440 13664 13728 14091 14560 14640 14784 15015 15860 16016 16104 16653 17080 17160 17446 17472 18304 18480 18788 19032 19520 20020 20130 20496 21120 21472 21840 22204 22880 23424 23485 23790 24024 24640 24960 25376 25620 26169 26840 27328 27456 27755 28182 29120 29280 29568 30030 31720 32032 32208 33306 34160 34320 34892 34944 36960 37576 38064 39040 40040 40260 40992 42944 43615 43680 44408 45760 46970 47580 48048 49280 50752 51240 52338 53680 54656 54912 55510 56364 58240 58560 60060 61061 63440 64064 64416 66612 68320 68640 69784 70455 73920 75152 76128 80080 80520 81984 83265 85888 87230 87360 88816 91520 93940 95160 96096 101504 102480 104676 107360 111020 112728 117120 120120 122122 126880 128128 128832 130845 133224 136640 137280 139568 140910 147840 150304 152256 160160 161040 163968 166530 174460 174720 177632 183183 187880 190320 192192 204960 209352 214720 222040 225456 240240 244244 253760 257664 261690 266448 273280 274560 279136 281820 300608 304512 305305 320320 322080 333060 348920 355264 366366 375760 380640 384384 409920 418704 429440 444080 450912 480480 488488 507520 523380 532896 558272 563640 601216 610610 640640 644160 666120 697840 710528 732732 751520 761280 819840 837408 888160 901824 915915 960960 976976 1046760 1065792 1116544 1127280 1221220 1288320 1332240 1395680 1465464 1503040 1522560 1674816 1776320 1803648 1831830 1921920 1953952 2093520 2131584 2254560 2442440 2664480 2791360 2930928 3006080 3349632 3552640 3663660 3907904 4187040 4509120 4884880 5328960 5582720 5861856 7327320 7815808 8374080 9018240 9769760 10657920 11723712 14654640 16748160 19539520 23447424 29309280 39079040 58618560 117237120
- Sum of all divisors σ(n): 509967360
- Sum of proper divisors (its aliquot sum) s(n): 392730240
- 117237120 is an abundant number, because the sum of its proper divisors (392730240) is greater than itself. Its abundance is 275493120
Bases of 117237120
- Binary: 1101111110011100101100000002
- Hexadecimal: 0x6FCE580
- Base-36: 1XSSQO
Squares and roots of 117237120
- 117237120 squared (1172371202) is 13744542305894400
- 117237120 cubed (1172371203) is 1611370555661218480128000
-
The
square root of 117237120 is 10827.6091543793 -
The
cube root of 117237120 is 489.4275141047
Scales and comparisons
How big is 117237120?- 117,237,120 seconds is equal to 3 years, 37 weeks, 5 days, 21 hours, 52 minutes.
-
To count from 1 to 117,237,120 would take you about five 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 117237120 cubic inches would be around 40.8 feet tall.
Recreational maths with 117237120
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