135746413436928
135,746,413,436,928 is an even composite number composed of five prime numbers multiplied together.
135746413436928 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 135746413436928:
213 × 3 × 7 × 413 × 1072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 41 × 41 × 41 × 107 × 107)See below for interesting mathematical facts about the number 135746413436928 from the Numbermatics database.
Names of 135746413436928
- Cardinal: 135746413436928 can be written as One hundred thirty-five trillion, seven hundred forty-six billion, four hundred thirteen million, four hundred thirty-six thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.35746413436928 × 1014
Factors of 135746413436928
Divisors of 135746413436928
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 107 112 123 128 164 168 192 214 224 246 256 287 321 328 336 384 428 448 492 512 574 642 656 672 749 768 856 861 896 984 1024 1148 1284 1312 1344 1498 1536 1681 1712 1722 1792 1968 2048 2247 2296 2568 2624 2688 2996 3072 3362 3424 3444 3584 3936 4096 4387 4494 4592 5043 5136 5248 5376 5992 6144 6724 6848 6888 7168 7872 8192 8774 8988 9184 10086 10272 10496 10752 11449 11767 11984 12288 13161 13448 13696 13776 14336 15744 17548 17976 18368 20172 20544 20992 21504 22898 23534 23968 24576 26322 26896 27392 27552 28672 30709 31488 34347 35096 35301 35952 36736 40344 41088 41984 43008 45796 47068 47936 52644 53792 54784 55104 57344 61418 62976 68694 68921 70192 70602 71904 73472 80143 80688 82176 83968 86016 91592 92127 94136 95872 105288 107584 109568 110208 122836 125952 137388 137842 140384 141204 143808 146944 160286 161376 164352 167936 172032 179867 183184 184254 188272 191744 206763 210576 215168 219136 220416 240429 245672 251904 274776 275684 280768 282408 287616 293888 320572 322752 328704 335872 359734 366368 368508 376544 383488 413526 421152 430336 438272 440832 469409 480858 482447 491344 503808 539601 549552 551368 561536 564816 575232 587776 641144 645504 657408 719468 732736 737016 753088 766976 827052 842304 860672 876544 881664 938818 961716 964894 982688 1007616 1079202 1099104 1102736 1123072 1129632 1150464 1175552 1259069 1282288 1291008 1314816 1408227 1438936 1447341 1465472 1474032 1506176 1533952 1654104 1684608 1721344 1763328 1877636 1923432 1929788 1965376 2158404 2198208 2205472 2246144 2259264 2300928 2351104 2518138 2564576 2582016 2629632 2816454 2877872 2894682 2930944 2948064 3012352 3067904 3285863 3308208 3369216 3442688 3526656 3755272 3777207 3846864 3859576 3930752 4316808 4396416 4410944 4492288 4518528 4601856 5036276 5129152 5164032 5632908 5755744 5789364 5861888 5896128 6024704 6135808 6571726 6616416 6738432 6885376 7053312 7374547 7510544 7554414 7693728 7719152 7861504 8633616 8792832 8821888 8984576 9037056 9203712 9857589 10072552 10258304 10328064 11265816 11511488 11578728 11723776 11792256 12049408 13143452 13232832 13476864 13770752 14749094 15021088 15108828 15387456 15438304 15723008 17267232 17585664 17643776 17969152 18074112 18407424 19245769 19715178 20145104 20516608 20656128 22123641 22531632 23022976 23157456 23447552 23584512 24098816 26286904 26465664 26953728 29498188 30042176 30217656 30774912 30876608 31446016 34534464 35171328 35287552 35938304 36148224 38491538 39430356 40290208 41033216 41312256 44247282 45063264 46045952 46314912 46895104 47169024 48197632 51621829 52573808 52931328 53907456 57737307 58996376 60084352 60435312 61549824 61753216 62892032 69068928 70342656 70575104 72296448 76983076 78860712 80580416 82066432 88494564 90126528 92091904 92629824 93790208 94338048 96395264 103243658 105147616 105862656 107814912 115474614 117992752 120168704 120870624 123099648 123506432 125784064 134720383 138137856 140685312 141150208 144592896 153966152 154865487 157721424 161160832 164132864 176989128 180253056 184183808 185259648 188676096 206487316 210295232 211725312 230949228 235985504 240337408 241741248 246199296 247012864 251568128 269440766 276275712 281370624 282300416 289185792 307932304 309730974 315442848 322321664 328265728 353978256 360506112 368367616 370519296 377352192 404161149 412974632 420590464 423450624 461898456 471971008 480674816 483482496 492398592 494025728 538881532 552551424 564600832 615864608 619461948 630885696 644643328 656531456 707956512 721012224 736735232 741038592 754704384 789076529 808322298 825949264 841180928 846901248 923796912 943942016 961349632 966964992 984797184 988051456 1077763064 1105102848 1231729216 1238923896 1261771392 1289286656 1415913024 1442024448 1473470464 1482077184 1578153058 1616644596 1651898528 1682361856 1693802496 1847593824 1887884032 1922699264 1933929984 1969594368 1976102912 2155526128 2210205696 2367229587 2463458432 2477847792 2523542784 2578573312 2831826048 2884048896 2964154368 3156306116 3233289192 3303797056 3364723712 3695187648 3775768064 3845398528 3867859968 3952205824 4311052256 4420411392 4734459174 4926916864 4955695584 5047085568 5157146624 5523535703 5663652096 5768097792 5928308736 6312612232 6466578384 6607594112 6729447424 7390375296 7551536128 7735719936 8622104512 9468918348 9853833728 9911391168 10094171136 10314293248 11047071406 11327304192 11536195584 11856617472 12625224464 12933156768 13215188224 13458894848 14780750592 15103072256 15471439872 16570607109 17244209024 18937836696 19707667456 19822782336 20188342272 22094142812 22654608384 25250448928 25866313536 26430376448 26917789696 29561501184 30206144512 30942879744 33141214218 34488418048 37875673392 39415334912 39645564672 40376684544 44188285624 45309216768 50500897856 51732627072 52860752896 59123002368 60412289024 66282428436 68976836096 75751346784 78830669824 79291129344 80753369088 88376571248 90618433536 101001795712 103465254144 105721505792 118246004736 132564856872 137953672192 151502693568 157661339648 158582258688 176753142496 181236867072 202003591424 206930508288 211443011584 236492009472 265129713744 275907344384 303005387136 317164517376 353506284992 404007182848 413861016576 422886023168 472984018944 530259427488 551814688768 606010774272 634329034752 707012569984 808014365696 827722033152 1060518854976 1103629377536 1212021548544 1268658069504 1414025139968 1616028731392 1655444066304 2121037709952 2424043097088 2828050279936 3232057462784 3310888132608 4242075419904 4848086194176 5656100559872 6464114925568 8484150839808 9696172388352 11312201119744 16968301679616 19392344776704 22624402239488 33936603359232 45248804478976 67873206718464 135746413436928
- Sum of all divisors σ(n): 428019745765248
- Sum of proper divisors (its aliquot sum) s(n): 292273332328320
- 135746413436928 is an abundant number, because the sum of its proper divisors (292273332328320) is greater than itself. Its abundance is 156526918891392
Bases of 135746413436928
- Binary: 111101101110101111011001100000010100000000000002
- Hexadecimal: 0x7B75ECC0A000
- Base-36: 1C491HOWLC
Squares and roots of 135746413436928
- 135746413436928 squared (1357464134369282) is 18427088760989386669434077184
- 135746413436928 cubed (1357464134369283) is 2501411209388234609607263456395633467850752
-
The
square root of 135746413436928 is 11651026.2825610345 -
The
cube root of 135746413436928 is 51393.6490607497
Scales and comparisons
How big is 135746413436928?- 135,746,413,436,928 seconds is equal to 4,316,316 years, 2 weeks, 6 days, 9 hours, 48 minutes, 48 seconds.
-
To count from 1 to 135,746,413,436,928 would take you about ten million, seven hundred ninety thousand, seven hundred ninety 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 135746413436928 cubic inches would be around 4282.8 feet tall.
Recreational maths with 135746413436928
- 135746413436928 backwards is 829634314647531
- The number of decimal digits it has is: 15
- The sum of 135746413436928's digits is 66
- More coming soon!
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