131056225920
131,056,225,920 is an even composite number composed of seven prime numbers multiplied together.
131056225920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 131056225920:
27 × 32 × 5 × 17 × 37 × 61 × 593
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 37 × 61 × 593)See below for interesting mathematical facts about the number 131056225920 from the Numbermatics database.
Names of 131056225920
- Cardinal: 131056225920 can be written as One hundred thirty-one billion, fifty-six million, two hundred twenty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3105622592 × 1011
Factors of 131056225920
Divisors of 131056225920
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 37 40 45 48 51 60 61 64 68 72 74 80 85 90 96 102 111 120 122 128 136 144 148 153 160 170 180 183 185 192 204 222 240 244 255 272 288 296 305 306 320 333 340 360 366 370 384 408 444 480 488 510 544 549 555 576 592 593 610 612 629 640 666 680 720 732 740 765 816 888 915 960 976 1020 1037 1088 1098 1110 1152 1184 1186 1220 1224 1258 1332 1360 1440 1464 1480 1530 1632 1665 1776 1779 1830 1887 1920 1952 2040 2074 2176 2196 2220 2257 2368 2372 2440 2448 2516 2664 2720 2745 2880 2928 2960 2965 3060 3111 3145 3264 3330 3552 3558 3660 3774 3904 4080 4148 4392 4440 4514 4736 4744 4880 4896 5032 5185 5328 5337 5440 5490 5661 5760 5856 5920 5930 6120 6222 6290 6528 6660 6771 7104 7116 7320 7548 7808 8160 8296 8784 8880 8895 9028 9333 9435 9488 9760 9792 10064 10081 10370 10656 10674 10880 10980 11285 11322 11712 11840 11860 12240 12444 12580 13320 13542 14208 14232 14640 15096 15555 16320 16592 17568 17760 17790 18056 18666 18870 18976 19520 19584 20128 20162 20313 20740 21312 21348 21941 21960 22570 22644 23424 23680 23720 24480 24888 25160 26640 26685 27084 28305 28464 29280 30192 30243 31110 32640 33184 33855 35136 35520 35580 36112 36173 37332 37740 37952 38369 39040 40256 40324 40626 41480 42624 42696 43882 43920 45140 45288 46665 47440 48960 49776 50320 50405 53280 53370 54168 56610 56928 58560 60384 60486 62220 65823 66368 67710 70272 71040 71160 72224 72346 74664 75480 75904 76738 80512 80648 81252 82960 85392 87764 87840 90280 90576 90729 93330 94880 97920 99552 100640 100810 101565 106560 106740 108336 108519 109705 113220 113856 115107 117120 120768 120972 124440 131646 132736 135420 142320 144448 144692 149328 150960 151215 153476 161296 162504 165920 170784 175528 175680 180560 180865 181152 181458 186660 189760 191845 197469 199104 201280 201620 203130 213120 213480 216672 217038 219410 226440 227712 230214 241536 241944 248880 263292 270840 284640 288896 289384 298656 301920 302430 306952 322592 325008 325557 329115 331840 341568 345321 351056 351360 361120 361730 362304 362916 372997 373320 379520 383690 394938 398208 402560 403240 406260 426960 433344 434076 438820 452880 453645 460428 483888 497760 526584 541680 542595 569280 575535 578768 597312 603840 604860 613904 614941 645184 650016 651114 658230 663680 683136 690642 702112 722240 723460 724608 725832 745994 746640 767380 789876 806480 812520 853920 866688 868152 877640 905760 907290 920856 967776 987345 995520 1053168 1083360 1085190 1118991 1138560 1151070 1157536 1194624 1207680 1209720 1227808 1229882 1290368 1300032 1302228 1316460 1338401 1381284 1404224 1444480 1446920 1451664 1491988 1493280 1534760 1579752 1612960 1625040 1627785 1707840 1726605 1736304 1755280 1811520 1814580 1841712 1844823 1864985 1935552 1974690 1991040 2106336 2166720 2170380 2237982 2302140 2315072 2419440 2455616 2459764 2600064 2604456 2632920 2676802 2762568 2808448 2893840 2903328 2983976 2986560 3069520 3074705 3159504 3225920 3250080 3255570 3356973 3415680 3453210 3472608 3510560 3623040 3629160 3683424 3689646 3729970 3871104 3949380 4015203 4212672 4333440 4340760 4475964 4604280 4630144 4838880 4911232 4919528 5208912 5265840 5353604 5525136 5534469 5594955 5787680 5806656 5967952 5973120 6139040 6149410 6319008 6451840 6500160 6511140 6692005 6713946 6906420 6945216 7021120 7258320 7366848 7379292 7459940 7898760 8030406 8425344 8681520 8951928 9208560 9224115 9677760 9839056 10417824 10531680 10707208 11050272 11068938 11189910 11575360 11613312 11935904 12045609 12278080 12298820 12638016 13000320 13022280 13384010 13427892 13812840 13890432 14042240 14516640 14733696 14758584 14919880 15797520 16060812 16784865 17363040 17903856 18417120 18448230 19355520 19678112 20076015 20835648 21063360 21414416 22100544 22137876 22379820 22752817 23150720 23871808 24091218 24556160 24597640 25276032 26044560 26768020 26855784 27625680 27672345 29033280 29517168 29839760 31595040 32121624 33569730 34726080 35807712 36834240 36896460 39356224 40152030 41671296 42126720 42828832 44201088 44275752 44759640 45505634 47743616 48182436 49195280 52089120 53536040 53711568 55251360 55344690 58066560 59034336 59679520 60228045 63190080 64243248 67139460 68258451 69452160 71615424 73668480 73792920 78712448 80304060 85657664 88551504 89519280 91011268 96364872 98390560 104178240 107072080 107423136 110502720 110689380 113764085 118068672 119359040 120456090 126380160 128486496 134278920 136516902 143230848 147585840 160608120 171315328 177103008 179038560 182022536 192729744 196781120 204775353 208356480 214144160 214846272 221005440 221378760 227528170 236137344 238718080 240912180 256972992 268557840 273033804 295171680 321216240 341292255 354206016 358077120 364045072 385459488 393562240 409550706 428288320 429692544 442757520 455056340 481824360 513945984 537115680 546067608 590343360 642432480 682584510 708412032 716154240 728090144 770918976 819101412 856576640 885515040 910112680 963648720 1023876765 1074231360 1092135216 1180686720 1284864960 1365169020 1456180288 1541837952 1638202824 1771030080 1820225360 1927297440 2047753530 2148462720 2184270432 2569729920 2730338040 2912360576 3276405648 3542060160 3640450720 3854594880 4095507060 4368540864 5460676080 6552811296 7280901440 7709189760 8191014120 8737081728 10921352160 13105622592 14561802880 16382028240 21842704320 26211245184 32764056480 43685408640 65528112960 131056225920
- Sum of all divisors σ(n): 501036101280
- Sum of proper divisors (its aliquot sum) s(n): 369979875360
- 131056225920 is an abundant number, because the sum of its proper divisors (369979875360) is greater than itself. Its abundance is 238923649440
Bases of 131056225920
- Binary: 11110100000111000111101001110100000002
- Hexadecimal: 0x1E838F4E80
- Base-36: 1O7FHR40
Squares and roots of 131056225920
- 131056225920 squared (1310562259202) is 17175734352394079846400
- 131056225920 cubed (1310562259203) is 2250986921629263421220317298688000
-
The
square root of 131056225920 is 362016.8862359877 -
The
cube root of 131056225920 is 5079.4795837809
Scales and comparisons
How big is 131056225920?- 131,056,225,920 seconds is equal to 4,167 years, 9 weeks, 3 days, 11 hours, 12 minutes.
-
To count from 1 to 131,056,225,920 would take you about eight thousand, three hundred thirty-four 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 131056225920 cubic inches would be around 423.3 feet tall.
Recreational maths with 131056225920
- 131056225920 backwards is 029522650131
- 131056225920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131056225920's digits is 36
- More coming soon!
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