13528753189200
13,528,753,189,200 is an even composite number composed of seven prime numbers multiplied together.
13528753189200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 13528753189200:
24 × 32 × 52 × 23 × 31 × 89 × 59221
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 23 × 31 × 89 × 59221)See below for interesting mathematical facts about the number 13528753189200 from the Numbermatics database.
Names of 13528753189200
- Cardinal: 13528753189200 can be written as Thirteen trillion, five hundred twenty-eight billion, seven hundred fifty-three million, one hundred eighty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.35287531892 × 1013
Factors of 13528753189200
Divisors of 13528753189200
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 31 36 40 45 46 48 50 60 62 69 72 75 80 89 90 92 93 100 115 120 124 138 144 150 155 178 180 184 186 200 207 225 230 240 248 267 276 279 300 310 345 356 360 368 372 400 414 445 450 460 465 496 534 552 558 575 600 620 690 712 713 720 744 775 801 828 890 900 920 930 1035 1068 1104 1116 1150 1200 1240 1335 1380 1395 1424 1426 1488 1550 1602 1656 1725 1780 1800 1840 1860 2047 2070 2136 2139 2225 2232 2300 2325 2480 2670 2759 2760 2790 2852 3100 3204 3312 3450 3560 3565 3600 3720 4005 4094 4140 4272 4278 4450 4464 4600 4650 5175 5340 5518 5520 5580 5704 6141 6200 6408 6417 6675 6900 6975 7120 7130 7440 8010 8188 8277 8280 8556 8900 9200 9300 10235 10350 10680 10695 11036 11160 11408 12282 12400 12816 12834 13350 13795 13800 13950 14260 16020 16376 16554 16560 17112 17800 17825 18423 18600 20025 20470 20700 21360 21390 22072 22320 24564 24831 25668 26700 27590 27600 27900 28520 30705 32040 32085 32752 33108 34224 35600 35650 36846 37200 40050 40940 41385 41400 42780 44144 49128 49662 51175 51336 53400 53475 55180 55800 57040 59221 61410 63457 64080 64170 66216 68975 71300 73692 80100 81880 82770 82800 85560 92115 98256 99324 102350 102672 106800 106950 110360 111600 118442 122820 124155 126914 128340 132432 137950 142600 147384 153525 160200 160425 163760 165540 171120 177663 184230 190371 198648 204700 206925 213900 220720 236884 245640 248310 253828 256680 275900 285200 294768 296105 307050 317285 320400 320850 331080 355326 368460 380742 397296 409400 413850 427800 460575 473768 491280 496620 507656 513360 532989 551800 571113 592210 614100 620775 634570 641700 662160 710652 736920 761484 818800 827700 855600 888315 921150 947536 951855 993240 1015312 1065978 1103600 1142226 1184420 1228200 1241550 1269140 1283400 1362083 1421304 1473840 1480525 1522968 1586425 1655400 1776630 1835851 1842300 1903710 1986480 2131956 2284452 2368840 2456400 2483100 2538280 2566800 2664945 2724166 2842608 2855565 2961050 3045936 3172850 3310800 3553260 3671702 3684600 3807420 4086249 4263912 4441575 4568904 4737680 4759275 4966200 5076560 5270669 5329890 5448332 5507553 5711130 5922100 6345700 6810415 7106520 7343404 7369200 7614840 8172498 8527824 8883150 9137808 9179255 9518550 9932400 10541338 10659780 10896664 11015106 11422260 11844200 12258747 12691400 13324725 13620830 14213040 14277825 14686808 15229680 15812007 16344996 16522659 17766300 18358510 19037100 20431245 21082676 21319560 21793328 22030212 22844520 23688400 24517494 25382800 26353345 26649450 27241660 27537765 28555650 29373616 31624014 32689992 33045318 34052075 35532600 36717020 38074200 40862490 42165352 42224573 42639120 44060424 45689040 45896275 47436021 49034988 52706690 53298900 54483320 55075530 57111300 61293735 63248028 65379984 66090636 68104150 71065200 73434040 76148400 79060035 81724980 82613295 84330704 84449146 88120848 91792550 94872042 98069976 102156225 105413380 106597800 108966640 110151060 114222600 121225387 122587470 126496056 126673719 131766725 132181272 136208300 137688825 146868080 158120070 163390739 163449960 165226590 168898292 183585100 189744084 196139952 204312450 210826760 211122865 213195600 220302120 228445200 237180105 242450774 245174940 252992112 253347438 263533450 264362544 272416600 275377650 306468675 316240140 326781478 326899920 330453180 337796584 363676161 367170200 379488168 380021157 395300175 408624900 413066475 421653520 422245730 440604240 474360210 484901548 490172217 490349880 506694876 527066900 544833200 550755300 606126935 612937350 632480280 633368595 653562956 660906360 675593168 727352322 734340400 758976336 760042314 790600350 816953695 817249800 826132950 844491460 948720420 969803096 980344434 980699760 1013389752 1054133800 1055614325 1091028483 1101510600 1185900525 1212253870 1225874700 1264960560 1266737190 1307125912 1321812720 1454704644 1470516651 1520084628 1581200700 1633907390 1634499600 1652265900 1688982920 1818380805 1897440840 1900105785 1939606192 1960688868 2026779504 2108267600 2111228650 2182056966 2203021200 2371801050 2424507740 2450861085 2451749400 2533474380 2614251824 2909409288 2941033302 3030634675 3040169256 3162401400 3166842975 3267814780 3304531800 3377965840 3636761610 3757986997 3794881680 3800211570 3921377736 4084768475 4222457300 4364113932 4743602100 4849015480 4901722170 4903498800 5066948760 5455142415 5818818576 5882066604 6061269350 6080338512 6324802800 6333685950 6535629560 6609063600 7273523220 7352583255 7515973994 7600423140 7842755472 8169536950 8444914600 8728227864 9091904025 9487204200 9500528925 9698030960 9803444340 10133897520 10910284830 11273960991 11764133208 12122538700 12254305425 12667371900 13071259120 14547046440 14705166510 15031947988 15200846280 16339073900 16889829200 17456455728 18183808050 18789934985 18974408400 19001057850 19606888680 21820569660 22547921982 23528266416 24245077400 24508610850 25334743800 27275712075 29094092880 29410333020 30063895976 30401692560 32678147800 33821882973 36367616100 36762916275 37579869970 38002115700 39213777360 43641139320 45095843964 48490154800 49017221700 50669487600 54551424150 56369804955 58820666040 60127791952 65356295600 67643765946 72735232200 73525832550 75159739940 76004231400 87282278640 90191687928 93949674925 98034443400 109102848300 112739609910 117641332080 135287531892 145470464400 147051665100 150319479880 152008462800 169109414865 180383375856 187899349850 196068886800 218205696600 225479219820 270575063784 281849024775 294103330200 300638959760 338218829730 375798699700 436411393200 450958439640 541150127568 563698049550 588206660400 676437659460 751597399400 845547074325 901916879280 1127396099100 1352875318920 1503194798800 1691094148650 2254792198200 2705750637840 3382188297300 4509584396400 6764376594600 13528753189200
- Sum of all divisors σ(n): 51139154027520
- Sum of proper divisors (its aliquot sum) s(n): 37610400838320
- 13528753189200 is an abundant number, because the sum of its proper divisors (37610400838320) is greater than itself. Its abundance is 24081647649120
Bases of 13528753189200
- Binary: 110001001101111010001000011100110001010100002
- Hexadecimal: 0xC4DE8873150
- Base-36: 4SN0UCHG0
Squares and roots of 13528753189200
- 13528753189200 squared (135287531892002) is 183027162854289170996640000
- 13528753189200 cubed (135287531892003) is 2476129313175192397019817542484288000000
-
The
square root of 13528753189200 is 3678145.3463940219 -
The
cube root of 13528753189200 is 23827.9085486691
Scales and comparisons
How big is 13528753189200?- 13,528,753,189,200 seconds is equal to 430,172 years, 26 weeks, 1 day, 13 hours.
-
To count from 1 to 13,528,753,189,200 would take you about one million, seventy-five thousand, four hundred thirty-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 13528753189200 cubic inches would be around 1985.7 feet tall.
Recreational maths with 13528753189200
- 13528753189200 backwards is 00298135782531
- The number of decimal digits it has is: 14
- The sum of 13528753189200's digits is 54
- More coming soon!
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