131901401086434
131,901,401,086,434 is an even composite number composed of eight prime numbers multiplied together.
131901401086434 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 131901401086434:
2 × 32 × 7 × 31 × 127 × 197 × 757 × 1783
(2 × 3 × 3 × 7 × 31 × 127 × 197 × 757 × 1783)See below for interesting mathematical facts about the number 131901401086434 from the Numbermatics database.
Names of 131901401086434
- Cardinal: 131901401086434 can be written as One hundred thirty-one trillion, nine hundred one billion, four hundred one million, eighty-six thousand, four hundred thirty-four.
Scientific notation
- Scientific notation: 1.31901401086434 × 1014
Factors of 131901401086434
Divisors of 131901401086434
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 127 186 197 217 254 279 381 394 434 558 591 651 757 762 889 1143 1182 1302 1379 1514 1773 1778 1783 1953 2271 2286 2667 2758 3546 3566 3906 3937 4137 4542 5299 5334 5349 6107 6813 7874 8001 8274 10598 10698 11811 12214 12411 12481 13626 15897 16002 16047 18321 23467 23622 24822 24962 25019 27559 31794 32094 35433 36642 37443 42749 46934 47691 50038 54963 55118 55273 70401 70866 74886 75057 82677 85498 95382 96139 109926 110546 112329 128247 140802 149129 150114 164269 165354 165819 175133 192278 211203 224658 225171 226441 248031 256494 288417 298258 328538 331638 350266 351251 384741 386911 422406 447387 450342 452882 492807 496062 497457 525399 576834 672973 679323 702502 769482 773822 775589 865251 894774 985614 994914 1043903 1050798 1053753 1160733 1342161 1345946 1349731 1358646 1478421 1551178 1576197 1585087 1730502 2018919 2037969 2087806 2107506 2321466 2326767 2458757 2684322 2699462 2956842 2980309 3131709 3152394 3161259 3170174 3482199 4037838 4049193 4075938 4622999 4653534 4755261 4917514 5429123 5960618 6056757 6263418 6322518 6964398 6980301 7019671 7376271 8098386 8940927 9245998 9395127 9448117 9510522 10858246 10888781 12113514 12147579 13868997 13960602 14039342 14265783 14752542 16287369 17881854 18790254 18896234 18939383 20862163 21059013 21777562 22128813 24295158 26822781 27737994 28344351 28531566 32360993 32574738 32666343 37878766 41606991 41724326 41841661 42118026 44257626 44608877 48862107 49137697 53645562 56688702 56818149 62586489 63177039 64721986 65332686 76221467 83213982 83683322 85033053 89217754 97082979 97724214 97999029 98275394 113636298 125172978 125524983 126354078 132575681 133826631 147413091 152442934 170066106 170454447 171415837 187759467 194165958 195998058 228664401 251049966 265151362 265897007 267653262 291248937 292891627 294826182 312262139 340908894 342831674 375518934 376574949 397727043 401479893 442239273 457328802 514247511 531794014 582497874 585783254 587120873 624524278 685993203 753149898 795454086 797691021 802959786 878674881 884478546 936786417 1028495022 1174241746 1193181129 1199910859 1371986406 1382875187 1542742533 1595382042 1757349762 1761362619 1861279049 1873572834 2386362258 2393073063 2399821718 2636024643 2765750374 2810359251 3085485066 3522725238 3599732577 3722558098 4109846111 4148625561 4786146126 5272049286 5284087857 5313890947 5583837147 5620718502 7199465154 8219692222 8242807217 8297251122 9680126309 10568175714 10627781894 10799197731 11167674294 12329538333 12445876683 15941672841 16485614434 16751511441 19360252618 21598395462 24659076666 24728421651 24891753366 29040378927 31883345682 33503022882 33768919889 36988614999 37197236629 47825018523 49456843302 57699650519 58080757854 67537839778 73977229998 74185264953 74394473258 87121136781 95650037046 101306759667 111591709887 115399301038 148370529906 173098951557 174242273562 202613519334 223183419774 236382439223 303920279001 334775129661 346197903114 472764878446 519296854671 607840558002 669550259322 709147317669 1038593709342 1046836516559 1418294635338 2093673033118 2127441953007 3140509549677 4254883906014 6281019099354 7327855615913 9421528649031 14655711231826 18843057298062 21983566847739 43967133695478 65950700543217 131901401086434
- Sum of all divisors σ(n): 342171463974912
- Sum of proper divisors (its aliquot sum) s(n): 210270062888478
- 131901401086434 is an abundant number, because the sum of its proper divisors (210270062888478) is greater than itself. Its abundance is 78368661802044
Bases of 131901401086434
- Binary: 111011111110110101100000010100000111001111000102
- Hexadecimal: 0x77F6B02839E2
- Base-36: 1AR6O0M38I
Squares and roots of 131901401086434
- 131901401086434 squared (1319014010864342) is 17397979608564332395538836356
- 131901401086434 cubed (1319014010864343) is 2294817886442844011087908171542138537594504
-
The
square root of 131901401086434 is 11484833.5245415725 -
The
cube root of 131901401086434 is 50903.7530007473
Scales and comparisons
How big is 131901401086434?- 131,901,401,086,434 seconds is equal to 4,194,056 years, 28 weeks, 6 days, 15 hours, 33 minutes, 54 seconds.
-
To count from 1 to 131,901,401,086,434 would take you about ten million, four hundred eighty-five thousand, one hundred forty-one 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 131901401086434 cubic inches would be around 4242 feet tall.
Recreational maths with 131901401086434
- 131901401086434 backwards is 434680104109131
- The number of decimal digits it has is: 15
- The sum of 131901401086434's digits is 45
- More coming soon!
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