130368734150400
130,368,734,150,400 is an even composite number composed of six prime numbers multiplied together.
130368734150400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 130368734150400:
28 × 33 × 52 × 53 × 4561 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 53 × 4561 × 3121)See below for interesting mathematical facts about the number 130368734150400 from the Numbermatics database.
Names of 130368734150400
- Cardinal: 130368734150400 can be written as One hundred thirty trillion, three hundred sixty-eight billion, seven hundred thirty-four million, one hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.303687341504 × 1014
Factors of 130368734150400
Divisors of 130368734150400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 53 54 60 64 72 75 80 90 96 100 106 108 120 128 135 144 150 159 160 180 192 200 212 216 225 240 256 265 270 288 300 318 320 360 384 400 424 432 450 477 480 530 540 576 600 636 640 675 720 768 795 800 848 864 900 954 960 1060 1080 1152 1200 1272 1280 1325 1350 1431 1440 1590 1600 1696 1728 1800 1908 1920 2120 2160 2304 2385 2400 2544 2650 2700 2862 2880 3121 3180 3200 3392 3456 3600 3816 3840 3975 4240 4320 4561 4770 4800 5088 5300 5400 5724 5760 6242 6360 6400 6784 6912 7155 7200 7632 7950 8480 8640 9122 9363 9540 9600 10176 10600 10800 11448 11520 11925 12484 12720 13568 13683 14310 14400 15264 15605 15900 16960 17280 18244 18726 19080 19200 20352 21200 21600 22805 22896 23850 24968 25440 27366 28089 28620 28800 30528 31210 31800 33920 34560 35775 36488 37452 38160 40704 41049 42400 43200 45610 45792 46815 47700 49936 50880 54732 56178 57240 57600 61056 62420 63600 67840 68415 71550 72976 74904 76320 78025 82098 84267 84800 86400 91220 91584 93630 95400 99872 101760 109464 112356 114025 114480 122112 123147 124840 127200 136830 140445 143100 145952 149808 152640 156050 164196 165413 168534 169600 172800 182440 183168 187260 190800 199744 203520 205245 218928 224712 228050 228960 234075 241733 246294 249680 254400 273660 280890 286200 291904 299616 305280 312100 328392 330826 337068 339200 342075 364880 366336 374520 381600 399488 410490 421335 437856 449424 456100 457920 468150 483466 492588 496239 499360 508800 547320 561780 572400 583808 599232 610560 615735 624200 656784 661652 674136 684150 702225 725199 729760 749040 763200 798976 820980 827065 842670 875712 898848 912200 915840 936300 966932 985176 992478 998720 1017600 1026225 1094640 1123560 1144800 1167616 1198464 1208665 1231470 1248400 1313568 1323304 1348272 1368300 1404450 1450398 1459520 1488717 1498080 1526400 1641960 1654130 1685340 1751424 1797696 1824400 1831680 1872600 1933864 1970352 1984956 1997440 2052450 2106675 2175597 2189280 2247120 2289600 2396928 2417330 2462940 2481195 2496800 2627136 2646608 2696544 2736600 2808900 2900796 2919040 2977434 2996160 3052800 3078675 3283920 3308260 3370680 3502848 3595392 3625995 3648800 3745200 3867728 3940704 3969912 3994880 4104900 4135325 4213350 4351194 4378560 4466151 4494240 4579200 4834660 4925880 4962390 4993600 5254272 5293216 5393088 5473200 5617800 5801592 5838080 5954868 5992320 6043325 6157350 6526791 6567840 6616520 6741360 7190784 7251990 7297600 7443585 7490400 7735456 7881408 7939824 8209800 8270650 8426700 8702388 8757120 8932302 8988480 9158400 9669320 9851760 9924780 9987200 10508544 10586432 10786176 10877985 10946400 11235600 11603184 11909736 11984640 12086650 12314700 12405975 13053582 13135680 13233040 13482720 14234881 14503980 14595200 14887170 14980800 15470912 15762816 15879648 16419600 16541300 16853400 17404776 17514240 17864604 17976960 18129975 19338640 19703520 19849560 19974400 21172864 21572352 21755970 21892800 22330755 22471200 23206368 23819472 24173300 24629400 24811950 26107164 26271360 26466080 26965440 28469762 29007960 29190400 29774340 29961600 30941824 31525632 31759296 32633955 32839200 33082600 33706800 34809552 35729208 35953920 36259950 37217925 38677280 39407040 39699120 42345728 42704643 43511940 43785600 44661510 44942400 46412736 47638944 48346600 49258800 49623900 52214328 52542720 52932160 53930880 54389925 56939524 58015920 59548680 59923200 61883648 63518592 65267910 65678400 66165200 67413600 69619104 71174405 71458416 72519900 74435850 77354560 78814080 79398240 85409286 87023880 87571200 89323020 89884800 92825472 95277888 96693200 98517600 99247800 104428656 105864320 107861760 108779850 111653775 113879048 116031840 119097360 127037184 128113929 130535820 131356800 132330400 134827200 139238208 142348810 142916832 145039800 148871700 154709120 157628160 158796480 163169775 170818572 174047760 178646040 179769600 185650944 190555776 193386400 197035200 198495600 208857312 211728640 213523215 217559700 223307550 227758096 232063680 238194720 256227858 261071640 262713600 264660800 269654400 278476416 284697620 285833664 290079600 297743400 309418240 317592960 326339550 341637144 348095520 355872025 357292080 381111552 384341787 386772800 394070400 396991200 417714624 427046430 435119400 446615100 455516192 464127360 476389440 512455716 522143280 529321600 539308800 556952832 569395240 571667328 580159200 595486800 635185920 640569645 652679100 683274288 696191040 711744050 714584160 754448693 768683574 773545600 788140800 793982400 835429248 854092860 870238800 893230200 911032384 928254720 952778880 1024911432 1044286560 1058643200 1067616075 1138790480 1143334656 1160318400 1190973600 1281139290 1305358200 1366548576 1392382080 1423488100 1429168320 1508897386 1537367148 1547091200 1587964800 1670858496 1708185720 1740477600 1786460400 1822064768 1905557760 1921708935 2049822864 2088573120 2135232150 2263346079 2277580960 2320636800 2381947200 2562278580 2610716400 2733097152 2784764160 2846976200 2858336640 3017794772 3074734296 3175929600 3202848225 3416371440 3480955200 3572920800 3644129536 3772243465 3843417870 4099645728 4177146240 4270464300 4526692158 4555161920 4641273600 4763894400 5124557160 5221432800 5466194304 5693952400 5716673280 6035589544 6149468592 6405696450 6790038237 6832742880 6961910400 7145841600 7544486930 7686835740 8199291456 8354292480 8540928600 9053384316 9110323840 9527788800 9608544675 10249114320 10442865600 10932388608 11316730395 11387904800 12071179088 12298937184 12811392900 13580076474 13665485760 13923820800 14291683200 15088973860 15373671480 16398582912 17081857200 18106768632 18220647680 18861217325 19217089350 20370114711 20498228640 20885731200 22633460790 22775809600 24142358176 24597874368 25622785800 27160152948 27330971520 28583366400 30177947720 30747342960 32797165824 33950191185 34163714400 36213537264 37722434650 38434178700 40740229422 40996457280 41771462400 45266921580 45551619200 48284716352 49195748736 51245571600 54320305896 54661943040 56583651975 60355895440 61494685920 67900382370 68327428800 72427074528 75444869300 76868357400 81480458844 81992914560 90533843160 91103238400 96569432704 98391497472 101850573555 102491143200 108640611792 113167303950 120711790880 122989371840 135800764740 136654857600 144854149056 150889738600 153736714800 162960917688 163985829120 169750955925 181067686320 193138865408 203701147110 204982286400 217281223584 226334607900 241423581760 245978743680 271601529480 273309715200 289708298112 301779477200 307473429600 325921835376 339501911850 362135372640 407402294220 409964572800 434562447168 452669215800 482847163520 491957487360 509252867775 543203058960 579416596224 603558954400 614946859200 651843670752 679003823700 724270745280 814804588440 819929145600 869124894336 905338431600 965694327040 1018505735550 1086406117920 1207117908800 1229893718400 1303687341504 1358007647400 1448541490560 1629609176880 1738249788672 1810676863200 2037011471100 2172812235840 2414235817600 2459787436800 2607374683008 2716015294800 2897082981120 3259218353760 3621353726400 4074022942200 4345624471680 4828471635200 5214749366016 5432030589600 6518436707520 7242707452800 8148045884400 8691248943360 10864061179200 13036873415040 14485414905600 16296091768800 21728122358400 26073746830080 32592183537600 43456244716800 65184367075200 130368734150400
- Sum of all divisors σ(n): 487331545659840
- Sum of proper divisors (its aliquot sum) s(n): 356962811509440
- 130368734150400 is an abundant number, because the sum of its proper divisors (356962811509440) is greater than itself. Its abundance is 226594077359040
Bases of 130368734150400
- Binary: 111011010010001110101100001011010111111000000002
- Hexadecimal: 0x7691D616BF00
- Base-36: 1A7MKIAIO0
Squares and roots of 130368734150400
- 130368734150400 squared (1303687341504002) is 16996006843977671209820160000
- 130368734150400 cubed (1303687341504003) is 2215747897860903949226744376834392064000000
-
The
square root of 130368734150400 is 11417912.8631462239 -
The
cube root of 130368734150400 is 50705.8206797157
Scales and comparisons
How big is 130368734150400?- 130,368,734,150,400 seconds is equal to 4,145,322 years, 25 weeks, 3 days.
-
To count from 1 to 130,368,734,150,400 would take you about ten million, three hundred sixty-three thousand, three hundred six 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 130368734150400 cubic inches would be around 4225.5 feet tall.
Recreational maths with 130368734150400
- 130368734150400 backwards is 004051437863031
- 130368734150400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 130368734150400's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 130368734150400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 130368734150400 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/130368734150400/
Chicago style:
Numbermatics. 2024. "Number 130368734150400 - Facts about the integer". https://numbermatics.com/n/130368734150400/
The information we have on file for 130368734150400 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!
Keywords: Divisors of 130368734150400, math, Factors of 130368734150400, curriculum, school, college, exams, university, Prime factorization of 130368734150400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty trillion, three hundred sixty-eight billion, seven hundred thirty-four million, one hundred fifty thousand, four hundred.