131889361968
131,889,361,968 is an even composite number composed of six prime numbers multiplied together.
131889361968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 131889361968:
24 × 37 × 72 × 13 × 61 × 97
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 61 × 97)See below for interesting mathematical facts about the number 131889361968 from the Numbermatics database.
Names of 131889361968
- Cardinal: 131889361968 can be written as One hundred thirty-one billion, eight hundred eighty-nine million, three hundred sixty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31889361968 × 1011
Factors of 131889361968
Divisors of 131889361968
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 49 52 54 56 61 63 72 78 81 84 91 97 98 104 108 112 117 122 126 144 147 156 162 168 182 183 189 194 196 208 216 234 243 244 252 273 291 294 312 324 336 351 364 366 378 388 392 427 432 441 468 486 488 504 546 549 567 582 588 624 637 648 679 702 728 729 732 756 776 784 793 819 854 873 882 936 972 976 1008 1053 1092 1098 1134 1164 1176 1261 1274 1281 1296 1323 1358 1404 1456 1458 1464 1512 1552 1586 1638 1647 1701 1708 1746 1764 1872 1911 1944 2037 2106 2184 2187 2196 2268 2328 2352 2379 2457 2522 2548 2562 2619 2646 2716 2808 2916 2928 2989 3024 3159 3172 3276 3294 3402 3416 3492 3528 3783 3822 3843 3888 3969 4074 4212 4368 4374 4392 4536 4656 4753 4758 4914 4941 5044 5096 5103 5124 5238 5292 5432 5551 5616 5733 5832 5917 5978 6111 6318 6344 6552 6588 6804 6832 6984 7056 7137 7371 7566 7644 7686 7857 7938 8148 8424 8748 8784 8827 8967 9072 9477 9506 9516 9828 9882 10088 10192 10206 10248 10476 10584 10864 11102 11349 11466 11529 11664 11834 11907 11956 12222 12636 12688 13104 13176 13608 13968 14259 14274 14742 14823 15132 15288 15309 15372 15714 15876 16296 16653 16848 17199 17496 17654 17751 17934 18333 18954 19012 19032 19656 19764 20176 20412 20496 20952 21168 21411 22113 22204 22698 22932 23058 23571 23668 23814 23912 24444 25272 26352 26481 26901 27216 28431 28518 28548 29484 29646 30264 30576 30618 30744 31428 31752 32592 33306 34047 34398 34587 34992 35308 35502 35721 35868 36666 37908 38024 38064 38857 39312 39528 40824 41419 41904 42777 42822 44226 44408 44469 45396 45864 46116 47142 47336 47628 47824 48888 49959 50544 51597 52962 53253 53802 54999 56862 57036 57096 58968 59292 60528 61236 61488 61789 62856 63504 64233 66339 66612 68094 68796 69174 70616 70713 71004 71442 71736 73332 75816 76048 76921 77714 79056 79443 80703 81648 82838 85554 85644 88452 88816 88938 90792 91728 92232 94284 94672 95256 97776 99918 102141 103194 103761 105924 106506 107163 107604 109998 113724 114072 114192 116571 117936 118584 122472 123578 124257 125712 128331 128466 132678 133224 133407 136188 137592 138348 141232 141426 142008 142884 143472 146664 149877 151632 153842 154791 155428 158886 159759 161406 164997 165676 171108 171288 176904 177876 181584 184464 185367 188568 190512 192699 199017 199836 204282 206388 207522 211848 212139 213012 214326 215208 219996 227448 228144 230763 233142 237168 238329 242109 244944 247156 248514 256662 256932 265356 266448 266814 272376 275184 276696 282852 284016 285768 289933 293328 299754 306423 307684 309582 310856 311283 317772 319518 322812 329994 331352 342216 342576 349713 353808 355752 370734 372771 377136 384993 385398 398034 399672 408564 412776 415044 423696 424278 426024 428652 430416 439992 449631 454896 461526 464373 466284 476658 479277 484218 494312 494991 497028 513324 513864 530712 533628 538447 544752 553392 556101 565704 571536 578097 579866 599508 612846 615368 619164 621712 622566 635544 639036 645624 659988 662704 684432 692289 699426 711504 714987 726327 741468 745542 769986 770796 796068 799344 817128 825552 830088 848556 852048 857304 869799 879984 899262 919269 923052 928746 932568 933849 953316 958554 968436 988624 989982 994056 1026648 1027728 1049139 1061424 1067256 1076894 1112202 1118313 1131408 1154979 1156194 1159732 1199016 1225692 1230736 1238328 1245132 1271088 1278072 1291248 1319976 1348893 1384578 1393119 1398852 1429974 1437831 1452654 1482936 1484973 1491084 1539972 1541592 1592136 1615341 1634256 1660176 1668303 1697112 1714608 1734291 1739598 1798524 1838538 1846104 1857492 1865136 1867698 1906632 1917108 1936872 1979964 1988112 2053296 2076867 2098278 2134512 2144961 2153788 2178981 2224404 2236626 2309958 2312388 2319464 2398032 2451384 2476656 2490264 2556144 2609397 2639952 2697786 2757807 2769156 2786238 2797704 2859948 2875662 2905308 2965872 2969946 2982168 3079944 3083184 3147417 3184272 3230682 3336606 3354939 3394224 3464937 3468582 3479196 3597048 3677076 3692208 3714984 3735396 3769129 3813264 3834216 3873744 3959928 4046679 4153734 4196556 4289922 4307576 4313493 4357962 4448808 4473252 4619916 4624776 4638928 4846023 4902768 4980528 5004909 5218794 5395572 5515614 5538312 5572476 5595408 5719896 5751324 5810616 5939892 5964336 6159888 6230601 6294834 6434883 6461364 6536943 6673212 6709878 6929874 6937164 6958392 7194096 7354152 7429968 7470792 7538258 7668432 7828191 7919856 8093358 8307468 8393112 8579844 8615152 8626986 8715924 8897616 8946504 9239832 9249552 9442251 9692046 10009818 10064817 10394811 10437588 10791144 11031228 11076624 11144952 11307387 11439792 11502648 11621232 11879784 12140037 12461202 12589668 12869766 12922728 12940479 13073886 13346424 13419756 13859748 13874328 13916784 14538069 14708304 14941584 15014727 15076516 15656382 16186716 16614936 16786224 17159688 17253972 17431848 17893008 18479664 18691803 18884502 19304649 19384092 20019636 20129634 20789622 20875176 21582288 22062456 22289904 22614774 23005296 23484573 23759568 24280074 24922404 25179336 25739532 25845456 25880958 26147772 26692848 26839512 27719496 27748656 28326753 29076138 30029454 30153032 30194451 31312764 32373432 33229872 33922161 34319376 34507944 34863696 37383606 37769004 38609298 38768184 40039272 40259268 41579244 41750352 43614207 44124912 45044181 45229548 46969146 48560148 49844808 50358672 51479064 51761916 52295544 53679024 55438992 56075409 56653506 58152276 60058908 60306064 60388902 62625528 64746864 67844322 69015888 70453719 74767212 75538008 77218596 77536368 80078544 80518536 83158488 84980259 87228414 90088362 90459096 90583353 93938292 97120296 99689616 101766483 102958128 103523832 104591088 112150818 113307012 116304552 120117816 120777804 125251056 130842621 135132543 135688644 140907438 149534424 151076016 154437192 161037072 166316976 168226227 169960518 174456828 180176724 180918192 181166706 187876584 194240592 203532966 207047664 211361157 224301636 226614024 232609104 240235632 241555608 261685242 270265086 271377288 281814876 299068848 305299449 308874384 336452454 339921036 348913656 360353448 362333412 375753168 392527863 407065932 422722314 448603272 453228048 483111216 523370484 540530172 542754576 563629752 610598898 634083471 672904908 679842072 697827312 720706896 724666824 785055726 814131864 845444628 897206544 915898347 1046740968 1081060344 1127259504 1177583589 1221197796 1268166942 1345809816 1359684144 1449333648 1570111452 1628263728 1690889256 1831796694 2093481936 2162120688 2355167178 2442395592 2536333884 2691619632 2747695041 3140222904 3381778512 3663593388 4710334356 4884791184 5072667768 5495390082 6280445808 7327186776 8243085123 9420668712 10145335536 10990780164 14654373552 16486170246 18841337424 21981560328 32972340492 43963120656 65944680984 131889361968
- Sum of all divisors σ(n): 493010528640
- Sum of proper divisors (its aliquot sum) s(n): 361121166672
- 131889361968 is an abundant number, because the sum of its proper divisors (361121166672) is greater than itself. Its abundance is 229231804704
Bases of 131889361968
- Binary: 11110101101010011011111110100001100002
- Hexadecimal: 0x1EB537F430
- Base-36: 1OL7IR00
Squares and roots of 131889361968
- 131889361968 squared (1318893619682) is 17394803800326124833024
- 131889361968 cubed (1318893619683) is 2294189574783554274549455896031232
-
The
square root of 131889361968 is 363165.7499930301 -
The
cube root of 131889361968 is 5090.2204230347
Scales and comparisons
How big is 131889361968?- 131,889,361,968 seconds is equal to 4,193 years, 35 weeks, 5 hours, 52 minutes, 48 seconds.
-
To count from 1 to 131,889,361,968 would take you about eight thousand, three hundred eighty-seven 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 131889361968 cubic inches would be around 424.2 feet tall.
Recreational maths with 131889361968
- 131889361968 backwards is 869163988131
- 131889361968 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131889361968's digits is 63
- More coming soon!
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The information we have on file for 131889361968 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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