428038152960
428,038,152,960 is an even composite number composed of eight prime numbers multiplied together.
428038152960 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 428038152960:
28 × 3 × 5 × 11 × 17 × 19 × 137 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 17 × 19 × 137 × 229)See below for interesting mathematical facts about the number 428038152960 from the Numbermatics database.
Names of 428038152960
- Cardinal: 428038152960 can be written as Four hundred twenty-eight billion, thirty-eight million, one hundred fifty-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.2803815296 × 1011
Factors of 428038152960
Divisors of 428038152960
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 19 20 22 24 30 32 33 34 38 40 44 48 51 55 57 60 64 66 68 76 80 85 88 95 96 102 110 114 120 128 132 136 137 152 160 165 170 176 187 190 192 204 209 220 228 229 240 255 256 264 272 274 285 304 320 323 330 340 352 374 380 384 408 411 418 440 456 458 480 510 528 544 548 561 570 608 627 640 646 660 680 685 687 704 748 760 768 816 822 836 880 912 916 935 960 969 1020 1045 1056 1088 1096 1122 1140 1145 1216 1254 1280 1292 1320 1360 1370 1374 1408 1496 1507 1520 1615 1632 1644 1672 1760 1824 1832 1870 1920 1938 2040 2055 2090 2112 2176 2192 2244 2280 2290 2329 2432 2508 2519 2584 2603 2640 2720 2740 2748 2805 2816 2992 3014 3040 3135 3230 3264 3288 3344 3435 3520 3553 3648 3664 3740 3840 3876 3893 4080 4110 4180 4224 4351 4352 4384 4488 4521 4560 4580 4658 4845 4864 5016 5038 5168 5206 5280 5440 5480 5496 5610 5984 6028 6080 6270 6460 6528 6576 6688 6870 6987 7040 7106 7296 7328 7480 7535 7557 7752 7786 7809 8160 8220 8360 8448 8702 8768 8976 9042 9120 9160 9316 9690 10032 10076 10336 10412 10560 10659 10880 10960 10992 11220 11645 11679 11968 12056 12160 12540 12595 12920 13015 13053 13056 13152 13376 13740 13974 14080 14212 14592 14656 14960 15070 15114 15504 15572 15618 16320 16440 16720 17404 17536 17765 17952 18084 18240 18320 18632 19380 19465 20064 20152 20672 20824 21120 21318 21755 21760 21920 21984 22440 22605 23290 23358 23936 24112 24320 25080 25190 25619 25840 26030 26106 26304 26752 27480 27948 28424 28633 29312 29920 30140 30228 31008 31144 31236 31373 32640 32880 33440 34808 34935 35072 35530 35904 36168 36480 36640 37264 37785 38760 38930 39045 40128 40304 41344 41648 42240 42636 42823 43510 43840 43968 44251 44880 45210 46580 46716 47861 47872 48224 50160 50380 51238 51680 52060 52212 52608 53295 53504 54960 55896 56848 57266 58395 58624 59840 60280 60456 62016 62288 62472 62746 65265 65280 65760 66880 69616 69870 71060 71808 72336 72960 73280 73967 74528 75570 76857 77520 77860 78090 80256 80608 82688 83296 85272 85646 85899 87020 87680 87936 88502 89760 90420 93160 93432 94119 95722 96448 100320 100760 102476 103360 104120 104424 105216 106590 109920 111792 113696 114532 116790 119680 120560 120912 124032 124576 124944 125492 128095 128469 130530 131520 132753 133760 139232 139740 142120 143165 143583 143616 144672 146560 147934 149056 151140 153714 155040 155720 156180 156865 160512 161216 166592 170544 171292 171798 174040 175360 175872 177004 179520 180840 186320 186864 188238 191444 192896 200640 201520 204952 206720 208240 208848 213180 214115 219840 221255 221901 223584 227392 229064 233580 239305 239360 241120 241824 248064 249152 249888 250984 256190 256938 261060 263040 265506 267520 278464 279480 284240 286330 287166 289344 293120 295868 298112 302280 307428 310080 311440 312360 313730 322432 333184 341088 342584 343596 345103 348080 354008 359040 361680 369835 372640 373728 376476 382888 384285 385792 401280 403040 409904 413440 416480 417696 426360 428230 429495 439680 442510 443802 447168 454784 458128 467160 470595 478610 482240 483648 486761 498304 499776 501968 512380 513876 522120 526080 531012 533341 556928 558960 568480 572660 574332 578688 591736 596087 596224 604560 614856 620160 622880 624720 627460 642345 644864 663765 666368 682176 685168 687192 690206 696160 708016 717915 718080 723360 739670 745280 747456 752952 765776 768570 802560 806080 813637 819808 832960 835392 852720 856460 858990 879360 885020 887604 894336 909568 916256 934320 941190 957220 964480 967296 973522 996608 999552 1003936 1024760 1027752 1035309 1044240 1062024 1066682 1109505 1113856 1117920 1136960 1145320 1148664 1157376 1183472 1192174 1209120 1229712 1240320 1245760 1249440 1254920 1284690 1327530 1364352 1370336 1374384 1380412 1392320 1416032 1435830 1446720 1460283 1479340 1490560 1494912 1505904 1531552 1537140 1600023 1612160 1627274 1639616 1665920 1670784 1705440 1712920 1717980 1725515 1770040 1775208 1788261 1788672 1832512 1868640 1882380 1914440 1928960 1934592 1947044 1999104 2007872 2049520 2055504 2070618 2088480 2124048 2133364 2219010 2235840 2273920 2290640 2297328 2366944 2384348 2418240 2433805 2440911 2459424 2491520 2498880 2509840 2569380 2655060 2666705 2728704 2740672 2748768 2760824 2784640 2832064 2871660 2893440 2920566 2958680 2980435 2981120 2989824 3011808 3063104 3074280 3200046 3224320 3254548 3279232 3331840 3341568 3410880 3425840 3435960 3451030 3540080 3550416 3576522 3665024 3737280 3764760 3828880 3894088 4015744 4068185 4099040 4111008 4141236 4176960 4248096 4266728 4438020 4471680 4547840 4581280 4594656 4733888 4768696 4836480 4867610 4881822 4918848 4983040 4997760 5019680 5138760 5176545 5310120 5333410 5481344 5497536 5521648 5569280 5664128 5743320 5786880 5841132 5866751 5917360 5960870 6023616 6126208 6148560 6400092 6509096 6556957 6558464 6821760 6851680 6871920 6902060 7080160 7100832 7153044 7301415 7330048 7474560 7529520 7657760 7788176 8000115 8031488 8136370 8198080 8222016 8282472 8353920 8496192 8533456 8876040 8941305 8943360 9162560 9189312 9467776 9537392 9672960 9735220 9763644 9837696 9995520 10039360 10133479 10277520 10353090 10620240 10666820 10962688 10995072 11043296 11328256 11486640 11682264 11733502 11834720 11921740 12047232 12204555 12252416 12297120 12800184 13018192 13113914 13643520 13703360 13743840 13804120 14160320 14201664 14306088 14602830 14949120 15059040 15315520 15576352 16000230 16272740 16396160 16444032 16564944 16707840 16992384 17066912 17600253 17752080 17882610 18325120 18378624 18935552 19074784 19470440 19527288 19670871 19675392 20078720 20266958 20555040 20706180 21240480 21333640 21990144 22086592 22973280 23364528 23467004 23669440 23843480 24094464 24409110 24594240 25600368 26036384 26227828 27406720 27487680 27608240 28320640 28403328 28612176 29205660 29333755 30118080 30400437 30631040 31152704 32000460 32545480 32784785 32792320 32888064 33129888 33984768 34133824 35200506 35504160 35765220 36650240 36757248 38149568 38940880 39054576 39341742 40157440 40533916 41110080 41412360 42480960 42667280 44173184 45946560 46729056 46934008 47338880 47686960 48818220 49188480 50667395 51200736 52072768 52455656 54813440 54975360 55216480 56641280 56806656 57224352 58411320 58667510 60236160 60800874 61262080 62305408 64000920 65090960 65569570 66259776 68267648 70401012 71008320 71530440 76299136 77881760 78109152 78683484 81067832 82220160 82824720 84961920 85334560 88001265 88346368 91893120 93458112 93868016 94677760 95373920 97636440 98354355 98376960 101334790 102401472 104145536 104911312 109950720 110432960 111468269 114448704 116822640 117335020 120472320 121601748 124610816 128001840 130181920 131139140 132519552 136535296 140802024 142016640 143060880 152002185 152598272 155763520 156218304 157366968 162135664 164440320 165649440 169923840 170669120 176002530 183786240 186916224 187736032 190747840 195272880 196708710 202669580 204802944 208291072 209822624 220865920 222936538 228897408 233645280 234670040 243203496 256003680 260363840 262278280 265039104 281604048 284033280 286121760 304004370 311527040 312436608 314733936 324271328 331298880 334404807 341338240 352005060 373832448 375472064 381495680 390545760 393417420 405339160 409605888 419645248 441731840 445873076 457794816 467290560 469340080 486406992 512007360 520727680 524556560 557341345 563208096 572243520 608008740 623054080 624873216 629467872 648542656 662597760 668809614 682676480 704010120 750944128 762991360 781091520 786834840 810678320 839290496 891746152 934581120 938680160 972813984 1024014720 1041455360 1049113120 1114682690 1126416192 1144487040 1216017480 1258935744 1297085312 1325195520 1337619228 1408020240 1501888256 1562183040 1573669680 1621356640 1672024035 1678580992 1783492304 1869162240 1877360320 1945627968 2048029440 2098226240 2229365380 2252832384 2288974080 2432034960 2517871488 2594170624 2675238456 2816040480 3124366080 3147339360 3242713280 3344048070 3566984608 3754720640 3891255936 4196452480 4458730760 4505664768 4864069920 5035742976 5350476912 5632080960 6294678720 6485426560 6688096140 7133969216 7509441280 7782511872 8392904960 8917461520 9728139840 10700953824 11264161920 12589357440 12970853120 13376192280 14267938432 17834923040 19456279680 21401907648 22528323840 25178714880 26752384560 28535876864 35669846080 38912559360 42803815296 53504769120 71339692160 85607630592 107009538240 142679384320 214019076480 428038152960
- Sum of all divisors σ(n): 1681600435200
- Sum of proper divisors (its aliquot sum) s(n): 1253562282240
- 428038152960 is an abundant number, because the sum of its proper divisors (1253562282240) is greater than itself. Its abundance is 825524129280
Bases of 428038152960
- Binary: 1100011101010010000111111100011000000002
- Hexadecimal: 0x63A90FE300
- Base-36: 5GMYV4LC
Squares and roots of 428038152960
- 428038152960 squared (4280381529602) is 183216660389408356761600
- 428038152960 cubed (4280381529603) is 78423720904581947375423991054336000
-
The
square root of 428038152960 is 654246.2479525577 -
The
cube root of 428038152960 is 7536.3459661491
Scales and comparisons
How big is 428038152960?- 428,038,152,960 seconds is equal to 13,610 years, 15 weeks, 6 hours, 56 minutes.
-
To count from 1 to 428,038,152,960 would take you about twenty-seven thousand, two hundred twenty 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 428038152960 cubic inches would be around 628 feet tall.
Recreational maths with 428038152960
- 428038152960 backwards is 069251830824
- 428038152960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428038152960's digits is 48
- 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 428038152960 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 428038152960 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/428038152960/
Chicago style:
Numbermatics. 2024. "Number 428038152960 - Facts about the integer". https://numbermatics.com/n/428038152960/
The information we have on file for 428038152960 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 428038152960, math, Factors of 428038152960, curriculum, school, college, exams, university, Prime factorization of 428038152960, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight billion, thirty-eight million, one hundred fifty-two thousand, nine hundred sixty.