132686315520
132,686,315,520 is an even composite number composed of six prime numbers multiplied together.
132686315520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 132686315520:
215 × 3 × 5 × 112 × 23 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 23 × 97)See below for interesting mathematical facts about the number 132686315520 from the Numbermatics database.
Names of 132686315520
- Cardinal: 132686315520 can be written as One hundred thirty-two billion, six hundred eighty-six million, three hundred fifteen thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3268631552 × 1011
Factors of 132686315520
Divisors of 132686315520
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 32 33 40 44 46 48 55 60 64 66 69 80 88 92 96 97 110 115 120 121 128 132 138 160 165 176 184 192 194 220 230 240 242 253 256 264 276 291 320 330 345 352 363 368 384 388 440 460 480 484 485 506 512 528 552 582 605 640 660 690 704 726 736 759 768 776 880 920 960 968 970 1012 1024 1056 1067 1104 1164 1210 1265 1280 1320 1380 1408 1452 1455 1472 1518 1536 1552 1760 1815 1840 1920 1936 1940 2024 2048 2112 2134 2208 2231 2328 2420 2530 2560 2640 2760 2783 2816 2904 2910 2944 3036 3072 3104 3201 3520 3630 3680 3795 3840 3872 3880 4048 4096 4224 4268 4416 4462 4656 4840 5060 5120 5280 5335 5520 5566 5632 5808 5820 5888 6072 6144 6208 6402 6693 7040 7260 7360 7590 7680 7744 7760 8096 8192 8349 8448 8536 8832 8924 9312 9680 10120 10240 10560 10670 11040 11132 11155 11264 11616 11640 11737 11776 12144 12288 12416 12804 13386 13915 14080 14520 14720 15180 15360 15488 15520 16005 16192 16384 16698 16896 17072 17664 17848 18624 19360 20240 20480 21120 21340 22080 22264 22310 22528 23232 23280 23474 23552 24288 24541 24576 24832 25608 26772 27830 28160 29040 29440 30360 30720 30976 31040 32010 32384 32768 33396 33465 33792 34144 35211 35328 35696 37248 38720 40480 40960 41745 42240 42680 44160 44528 44620 45056 46464 46560 46948 47104 48576 49082 49152 49664 51216 53544 55660 56320 58080 58685 58880 60720 61440 61952 62080 64020 64768 66792 66930 67584 68288 70422 70656 71392 73623 74496 77440 80960 81920 83490 84480 85360 88320 89056 89240 90112 92928 93120 93896 94208 97152 98164 98304 99328 102432 107088 111320 112640 116160 117370 117760 121440 122705 122880 123904 124160 128040 129536 133584 133860 135168 136576 140844 141312 142784 147246 148992 154880 161920 163840 166980 168960 170720 176055 176640 178112 178480 180224 185856 186240 187792 188416 194304 196328 198656 204864 214176 222640 225280 232320 234740 235520 242880 245410 245760 247808 248320 256080 259072 267168 267720 269951 270336 273152 281688 282624 285568 294492 297984 309760 323840 333960 337920 341440 352110 353280 356224 356960 360448 368115 371712 372480 375584 376832 388608 392656 397312 409728 428352 445280 450560 464640 469480 471040 485760 490820 491520 495616 496640 512160 518144 534336 535440 539902 540672 546304 563376 565248 571136 588984 595968 619520 647680 667920 675840 682880 704220 706560 712448 713920 736230 743424 744960 751168 753664 777216 785312 794624 809853 819456 856704 890560 901120 929280 938960 942080 971520 981640 991232 993280 1024320 1036288 1068672 1070880 1079804 1081344 1092608 1126752 1130496 1142272 1177968 1191936 1239040 1295360 1335840 1349755 1351680 1365760 1408440 1413120 1424896 1427840 1472460 1486848 1489920 1502336 1554432 1570624 1589248 1619706 1638912 1713408 1781120 1802240 1858560 1877920 1884160 1943040 1963280 1982464 1986560 2048640 2072576 2137344 2141760 2159608 2185216 2253504 2260992 2284544 2355936 2383872 2478080 2590720 2671680 2699510 2703360 2731520 2816880 2826240 2849792 2855680 2944920 2973696 2979840 3004672 3108864 3141248 3178496 3239412 3277824 3426816 3562240 3717120 3755840 3768320 3886080 3926560 3964928 3973120 4049265 4097280 4145152 4274688 4283520 4319216 4370432 4507008 4569088 4711872 4767744 4956160 5181440 5343360 5399020 5406720 5463040 5633760 5652480 5699584 5711360 5889840 5947392 5959680 6009344 6217728 6282496 6478824 6555648 6853632 7124480 7434240 7511680 7772160 7853120 7946240 8098530 8194560 8290304 8549376 8567040 8638432 8740864 9014016 9138176 9423744 9535488 9912320 10362880 10686720 10798040 10926080 11267520 11304960 11399168 11422720 11779680 11894784 11919360 12018688 12435456 12564992 12957648 13111296 13707264 14248960 14868480 15023360 15544320 15706240 15892480 16197060 16389120 17098752 17134080 17276864 17481728 18028032 18276352 18847488 19824640 20725760 21373440 21596080 21852160 22535040 22798336 22845440 23559360 23838720 24037376 24870912 25129984 25915296 26222592 27414528 28497920 29736960 30046720 31088640 31412480 32394120 32778240 34197504 34268160 34553728 34963456 36056064 36552704 37694976 41451520 42746880 43192160 43704320 45070080 45596672 45690880 47118720 47677440 48074752 50259968 51830592 52445184 54829056 56995840 59473920 60093440 62177280 62824960 64788240 65556480 68395008 68536320 69107456 72112128 73105408 75389952 85493760 86384320 87408640 90140160 91193344 91381760 94237440 96149504 100519936 103661184 104890368 109658112 113991680 120186880 124354560 125649920 129576480 131112960 136790016 137072640 138214912 144224256 150779904 170987520 172768640 174817280 180280320 182763520 188474880 192299008 201039872 207322368 219316224 227983360 240373760 251299840 259152960 262225920 273580032 274145280 276429824 288448512 301559808 341975040 345537280 360560640 365527040 376949760 384598016 402079744 414644736 455966720 480747520 502599680 518305920 524451840 548290560 552859648 576897024 603119616 683950080 691074560 721121280 753899520 804159488 829289472 961495040 1005199360 1036611840 1096581120 1105719296 1153794048 1206239232 1367900160 1382149120 1442242560 1507799040 1658578944 1922990080 2010398720 2073223680 2211438592 2412478464 2764298240 2884485120 3015598080 3317157888 4020797440 4146447360 4422877184 5528596480 5768970240 6031196160 6634315776 8292894720 8845754368 11057192960 12062392320 13268631552 16585789440 22114385920 26537263104 33171578880 44228771840 66343157760 132686315520
- Sum of all divisors σ(n): 492009517440
- Sum of proper divisors (its aliquot sum) s(n): 359323201920
- 132686315520 is an abundant number, because the sum of its proper divisors (359323201920) is greater than itself. Its abundance is 226636886400
Bases of 132686315520
- Binary: 11110111001001011100010000000000000002
- Hexadecimal: 0x1EE4B88000
- Base-36: 1OYE08AO
Squares and roots of 132686315520
- 132686315520 squared (1326863155202) is 17605658326272992870400
- 132686315520 cubed (1326863155203) is 2336029935617173437656604868608000
-
The
square root of 132686315520 is 364261.3286090083 -
The
cube root of 132686315520 is 5100.4525488461
Scales and comparisons
How big is 132686315520?- 132,686,315,520 seconds is equal to 4,219 years, 5 days, 5 hours, 52 minutes.
-
To count from 1 to 132,686,315,520 would take you about eight thousand, four hundred thirty-eight 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 132686315520 cubic inches would be around 425 feet tall.
Recreational maths with 132686315520
- 132686315520 backwards is 025513686231
- The number of decimal digits it has is: 12
- The sum of 132686315520's digits is 42
- More coming soon!
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