131008012305408
131,008,012,305,408 is an even composite number composed of four prime numbers multiplied together.
What does the number 131008012305408 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1716 divisors.
131008012305408 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixteen divisors.
Prime factorization of 131008012305408:
210 × 312 × 72 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 17 × 17 × 17)See below for interesting mathematical facts about the number 131008012305408 from the Numbermatics database.
Names of 131008012305408
- Cardinal: 131008012305408 can be written as One hundred thirty-one trillion, eight billion, twelve million, three hundred five thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.31008012305408 × 1014
Factors of 131008012305408
Divisors of 131008012305408
- Number of divisors d(n): 1716
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 49 51 54 56 63 64 68 72 81 84 96 98 102 108 112 119 126 128 136 144 147 153 162 168 189 192 196 204 216 224 238 243 252 256 272 288 289 294 306 324 336 357 378 384 392 408 432 441 448 459 476 486 504 512 544 567 576 578 588 612 648 672 714 729 756 768 784 816 833 864 867 882 896 918 952 972 1008 1024 1071 1088 1134 1152 1156 1176 1224 1296 1323 1344 1377 1428 1458 1512 1536 1568 1632 1666 1701 1728 1734 1764 1792 1836 1904 1944 2016 2023 2142 2176 2187 2268 2304 2312 2352 2448 2499 2592 2601 2646 2688 2754 2856 2916 3024 3072 3136 3213 3264 3332 3402 3456 3468 3528 3584 3672 3808 3888 3969 4032 4046 4131 4284 4352 4374 4536 4608 4624 4704 4896 4913 4998 5103 5184 5202 5292 5376 5508 5712 5832 6048 6069 6272 6426 6528 6561 6664 6804 6912 6936 7056 7168 7344 7497 7616 7776 7803 7938 8064 8092 8262 8568 8704 8748 9072 9216 9248 9408 9639 9792 9826 9996 10206 10368 10404 10584 10752 11016 11424 11664 11907 12096 12138 12393 12544 12852 13056 13122 13328 13608 13824 13872 14112 14161 14688 14739 14994 15232 15309 15552 15606 15876 16128 16184 16524 17136 17408 17496 18144 18207 18496 18816 19278 19584 19652 19683 19992 20412 20736 20808 21168 21504 22032 22491 22848 23328 23409 23814 24192 24276 24786 25088 25704 26112 26244 26656 27216 27648 27744 28224 28322 28917 29376 29478 29988 30464 30618 31104 31212 31752 32256 32368 33048 34272 34391 34992 35721 36288 36414 36992 37179 37632 38556 39168 39304 39366 39984 40824 41472 41616 42336 42483 44064 44217 44982 45696 45927 46656 46818 47628 48384 48552 49572 50176 51408 52224 52488 53312 54432 54621 55488 56448 56644 57834 58752 58956 59049 59976 60928 61236 62208 62424 63504 64512 64736 66096 67473 68544 68782 69984 70227 71442 72576 72828 73984 74358 75264 77112 78336 78608 78732 79968 81648 82944 83232 84672 84966 86751 88128 88434 89964 91392 91854 93312 93636 95256 96768 97104 99144 102816 103173 104976 106624 107163 108864 109242 110976 111537 112896 113288 115668 117504 117912 118098 119952 121856 122472 124416 124848 127008 127449 129472 132192 132651 134946 137088 137564 137781 139968 140454 142884 145152 145656 147968 148716 150528 154224 156672 157216 157464 159936 163296 163863 166464 169344 169932 173502 176256 176868 177147 179928 182784 183708 186624 187272 190512 193536 194208 198288 202419 205632 206346 209952 210681 213248 214326 217728 218484 221952 223074 225792 226576 231336 235008 235824 236196 239904 240737 244944 248832 249696 254016 254898 258944 260253 264384 265302 269892 274176 275128 275562 279936 280908 285768 290304 291312 295936 297432 308448 309519 314432 314928 319872 321489 326592 327726 332928 334611 338688 339864 347004 352512 353736 354294 359856 365568 367416 373248 374544 381024 382347 388416 396576 397953 404838 411264 412692 413343 419904 421362 426496 428652 435456 436968 443904 446148 451584 453152 462672 470016 471648 472392 479808 481474 489888 491589 499392 508032 509796 517888 520506 528768 530604 531441 539784 548352 550256 551124 559872 561816 571536 580608 582624 594864 607257 616896 619038 628864 629856 632043 639744 642978 653184 655452 665856 669222 677376 679728 694008 705024 707472 708588 719712 722211 734832 746496 749088 762048 764694 776832 780759 793152 795906 809676 822528 825384 826686 839808 842724 852992 857304 870912 873936 887808 892296 906304 925344 928557 943296 944784 959616 962948 964467 979776 983178 998784 1003833 1016064 1019592 1035776 1041012 1057536 1061208 1062882 1079568 1096704 1100512 1102248 1119744 1123632 1143072 1147041 1165248 1189728 1193859 1214514 1233792 1238076 1240029 1257728 1259712 1264086 1279488 1285956 1306368 1310904 1331712 1338444 1354752 1359456 1388016 1410048 1414944 1417176 1439424 1444422 1469664 1474767 1498176 1524096 1529388 1553664 1561518 1586304 1591812 1619352 1645056 1650768 1653372 1679616 1685448 1714608 1741824 1747872 1784592 1812608 1821771 1850688 1857114 1886592 1889568 1896129 1919232 1925896 1928934 1959552 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1132621056 1156415616 1160430948 1174569984 1180507608 1199245824 1203409872 1222511616 1228691592 1247980608 1269789696 1274198688 1321391232 1349151552 1353836106 1375325568 1399120128 1403978184 1426263552 1433473524 1456227072 1481421312 1486565136 1510161408 1541887488 1547241264 1574010144 1579475457 1604546496 1638255456 1663974144 1666598976 1672385778 1698931584 1740646422 1761854976 1770761412 1798868736 1805114808 1833767424 1865493504 1871970912 1904684544 1911298032 1941636096 1982086848 2023727328 2030754159 2062988352 2098680192 2105967276 2139395328 2150210286 2184340608 2218632192 2222131968 2229847704 2265242112 2312831232 2320861896 2361015216 2398491648 2406819744 2457383184 2495961216 2508578667 2548397376 2610969633 2642782464 2698303104 2707672212 2750651136 2798240256 2807956368 2852527104 2866947048 2912454144 2962842624 2973130272 3083774976 3094482528 3148020288 3158950914 3209092992 3276510912 3327948288 3333197952 3344771556 3397863168 3481292844 3523709952 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13332791808 13379086224 13591452672 13925171376 14166091296 14215279113 14440918464 14975767296 15051472002 15290384256 15856694784 16189818624 16246033272 16503906816 16789441536 16847738208 17201682288 17474724864 17838781632 18276787431 18566895168 18888121728 18953705484 19254557952 19659065472 19967689728 20068629336 20387179008 20887757064 21586424832 21661377696 22463650944 22935576384 23785042176 24369049908 24755860224 25184162304 25271607312 25672743936 26212087296 26665583616 26758172448 27850342752 28332182592 28430558226 28881836928 29951534592 30102944004 30580768512 31713389568 32379637248 32492066544 33007813632 33695476416 34403364576 35677563264 36553574862 37133790336 37776243456 37907410968 38509115904 39318130944 40137258672 40774358016 41775514128 42645837339 43322755392 44927301888 45871152768 47570084352 48738099816 49511720448 50368324608 50543214624 52424174592 53516344896 55700685504 56664365184 56861116452 57763673856 59903069184 60205888008 61161537024 64759274496 64984133088 67390952832 68806729152 71355126528 73107149724 74267580672 75552486912 75814821936 77018231808 78636261888 80274517344 83551028256 85291674678 86645510784 89854603776 91742305536 95140168704 97476199632 99023440896 101086429248 107032689792 111401371008 113328730368 113722232904 115527347712 120411776016 122323074048 127937512017 129968266176 134781905664 137613458304 142710253056 146214299448 148535161344 151104973824 151629643872 157272523776 160549034688 167102056512 170583349356 173291021568 179709207552 183484611072 194952399264 202172858496 214065379584 222802742016 226657460736 227444465808 231054695424 240823552032 255875024034 259936532352 269563811328 275226916608 285420506112 292428598896 297070322688 303259287744 321098069376 334204113024 341166698712 346582043136 366969222144 389904798528 404345716992 428130759168 445605484032 453314921472 454888931616 481647104064 511750048068 519873064704 539127622656 550453833216 584857197792 606518575488 642196138752 668408226048 682333397424 693164086272 779809597056 808691433984 856261518336 891210968064 909777863232 963294208128 1023500096136 1039746129408 1100907666432 1169714395584 1213037150976 1284392277504 1336816452096 1364666794848 1559619194112 1617382867968 1819555726464 1926588416256 2047000192272 2079492258816 2339428791168 2426074301952 2568784555008 2673632904192 2729333589696 3119238388224 3639111452928 3853176832512 4094000384544 4678857582336 4852148603904 5458667179392 6238476776448 7278222905856 7706353665024 8188000769088 9357715164672 10917334358784 14556445811712 16376001538176 18715430329344 21834668717568 32752003076352 43669337435136 65504006152704 131008012305408
- Sum of all divisors σ(n): 485522370225180
- Sum of proper divisors (its aliquot sum) s(n): 354514357919772
- 131008012305408 is an abundant number, because the sum of its proper divisors (354514357919772) is greater than itself. Its abundance is 223506345614364
Bases of 131008012305408
- Binary: 111011100100110101011100000100101000100000000002
- Hexadecimal: 0x7726AE094400
- Base-36: 1AFS900000
Squares and roots of 131008012305408
- 131008012305408 squared (1310080123054082) is 17163099288213933951066046464
- 131008012305408 cubed (1310080123054083) is 2248503522749270345043309168075448686477312
-
The
square root of 131008012305408 is 11445873.1560946455 -
The
cube root of 131008012305408 is 50788.5661933159
Scales and comparisons
How big is 131008012305408?- 131,008,012,305,408 seconds is equal to 4,165,649 years, 28 weeks, 6 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 131,008,012,305,408 would take you about ten million, four hundred fourteen thousand, one hundred twenty-three 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 131008012305408 cubic inches would be around 4232.4 feet tall.
Recreational maths with 131008012305408
- 131008012305408 backwards is 804503210800131
- 131008012305408 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131008012305408's digits is 36
- More coming soon!
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"Number 131008012305408 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 131008012305408 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/131008012305408/
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The information we have on file for 131008012305408 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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