135743048948400
135,743,048,948,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135743048948400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
135743048948400 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 135743048948400:
24 × 3 × 52 × 53 × 612 × 181 × 3169
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 53 × 61 × 61 × 181 × 3169)See below for interesting mathematical facts about the number 135743048948400 from the Numbermatics database.
Names of 135743048948400
- Cardinal: 135743048948400 can be written as One hundred thirty-five trillion, seven hundred forty-three billion, forty-eight million, nine hundred forty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.357430489484 × 1014
Factors of 135743048948400
Divisors of 135743048948400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 53 60 61 75 80 100 106 120 122 150 159 181 183 200 212 240 244 265 300 305 318 362 366 400 424 488 530 543 600 610 636 724 732 795 848 905 915 976 1060 1086 1200 1220 1272 1325 1448 1464 1525 1590 1810 1830 2120 2172 2440 2544 2650 2715 2896 2928 3050 3169 3180 3233 3620 3660 3721 3975 4240 4344 4525 4575 4880 5300 5430 6100 6338 6360 6466 7240 7320 7442 7950 8688 9050 9150 9507 9593 9699 10600 10860 11041 11163 12200 12676 12720 12932 13575 14480 14640 14884 15845 15900 16165 18100 18300 18605 19014 19186 19398 21200 21720 22082 22326 24400 25352 25864 27150 28779 29768 31690 31800 32330 33123 36200 36600 37210 38028 38372 38796 43440 44164 44652 47535 47965 48495 50704 51728 54300 55205 55815 57558 59536 63380 63600 64660 66246 72400 73200 74420 76056 76744 77592 79225 80825 88328 89304 93025 95070 95930 96990 108600 110410 111630 115116 126760 129320 132492 143895 148840 152112 153488 155184 158450 161650 165615 167957 176656 178608 186050 190140 191860 193309 193980 197213 217200 220820 223260 230232 237675 239825 242475 253520 258640 264984 276025 279075 287790 297680 316900 323300 331230 335914 372100 380280 383720 386618 387960 394426 441640 446520 460464 475350 479650 484950 503871 529968 552050 558150 573589 575580 579927 585173 591639 633800 646600 662460 671828 673501 719475 744200 760560 767440 773236 775920 788852 828075 839785 883280 893040 950700 959300 966545 969900 986065 1007742 1104100 1116300 1147178 1151160 1159854 1170346 1183278 1267600 1293200 1324920 1343656 1347002 1438950 1488400 1546472 1577704 1656150 1679570 1720767 1755519 1901400 1918600 1933090 1939800 1972130 2015484 2020503 2208200 2232600 2294356 2302320 2319708 2340692 2366556 2519355 2649840 2687312 2694004 2867945 2877900 2899635 2925865 2958195 3092944 3155408 3312300 3359140 3367505 3441534 3511038 3802800 3837200 3866180 3879600 3944260 4030968 4041006 4198925 4416400 4465200 4588712 4639416 4681384 4733112 4832725 4930325 5038710 5388008 5735890 5755800 5799270 5851730 5916390 6624600 6718280 6735010 6883068 7022076 7732360 7888520 8061936 8082012 8397850 8603835 8777595 9177424 9278832 9362768 9466224 9665450 9860650 10077420 10102515 10245377 10776016 11471780 11511600 11598540 11703460 11791849 11832780 12596775 13249200 13436560 13470020 13766136 14044152 14339725 14498175 14629325 14790975 15464720 15777040 16164024 16795700 16837525 17207670 17555190 19330900 19721300 20154840 20205030 20490754 22943560 23197080 23406920 23583698 23665560 25193550 26940040 27532272 28088304 28679450 28996350 29258650 29581950 30400217 30736131 32328048 33591400 33675050 34415340 34988929 35110380 35375547 35695553 38661800 39442600 40309680 40410060 40981508 43019175 43887975 45887120 46394160 46813840 47167396 47331120 50387100 50512575 51226885 53880080 57358900 57992700 58517300 58959245 59163900 60800434 61472262 67182800 67350100 68830680 69977858 70220760 70751094 71391106 77323600 78885200 80820120 81963016 86038350 87775950 91200651 94334792 100774200 101025150 102453770 104966787 107086659 114717800 115985400 117034600 117918490 118327800 121600868 122944524 134700200 137661360 139955716 140441520 141502188 142782212 152001085 153680655 161640240 163926032 172076700 174944645 175551900 176877735 178477765 182401302 188669584 201548400 202050300 204907540 209933574 214173318 229435600 231970800 234069200 235836980 236655600 243201736 245889048 256134425 269400400 279911432 283004376 285564424 294796225 304002170 307361310 344153400 349889290 351103800 353755470 356955530 364802604 404100600 409815080 419867148 428346636 456003255 471673960 486403472 491778096 512268850 524833935 535433295 559822864 566008752 571128848 589592450 608004340 614722620 624967997 688306800 699778580 702207600 707510940 713911060 729605208 760005425 768403275 808201200 819630160 839734296 856693272 874723225 884388675 892388825 912006510 943347920 1024537700 1049667870 1070866590 1179184900 1216008680 1229445240 1249935994 1399557160 1415021880 1427822120 1459210416 1520010850 1536806550 1679468592 1713386544 1749446450 1768777350 1784777650 1824013020 1854413237 1874903991 2049075400 2099335740 2134324669 2141733180 2280016275 2358369800 2432017360 2458890480 2499871988 2624169675 2677166475 2799114320 2830043760 2855644240 3040021700 3073613100 3124839985 3498892900 3537554700 3569555300 3648026040 3708826474 3749807982 4098150800 4198671480 4268649338 4283466360 4560032550 4716739600 4999743976 5248339350 5354332950 5563239711 6080043400 6147226200 6249679970 6402974007 6997785800 7075109400 7139110600 7296052080 7417652948 7499615964 8397342960 8537298676 8566932720 9120065100 9272066185 9374519955 9999487952 10496678700 10671623345 10708665900 11126479422 12160086800 12294452400 12499359940 12805948014 13995571600 14150218800 14278221200 14835305896 14999231928 15624199925 17074597352 18240130200 18544132370 18749039910 20993357400 21343246690 21417331800 22252958844 24998719880 25611896028 27816198555 29670611792 29998463856 31248399850 32014870035 34149194704 36480260400 37088264740 37498079820 41986714800 42686493380 42834663600 44505917688 46360330925 46872599775 49997439760 51223792056 53358116725 55632397110 62496799700 64029740070 74176529480 74996159640 85372986760 89011835376 92720661850 93745199550 102447584112 106716233450 111264794220 113119207457 124993599400 128059480140 139080992775 148353058960 149992319280 160074350175 170745973520 185441323700 187490399100 213432466900 222529588440 226238414914 249987198800 256118960280 278161985550 320148700350 339357622371 370882647400 374980798200 426864933800 445059176880 452476829828 512237920560 556323971100 565596037285 640297400700 678715244742 741765294800 749961596400 853729867600 904953659656 1112647942200 1131192074570 1280594801400 1357430489484 1696788111855 1809907319312 2225295884400 2262384149140 2561189602800 2714860978968 2827980186425 3393576223710 4524768298280 5429721957936 5655960372850 6787152447420 8483940559275 9049536596560 11311920745700 13574304894840 16967881118550 22623841491400 27148609789680 33935762237100 45247682982800 67871524474200 135743048948400
- Sum of all divisors σ(n): 453047909015520
- Sum of proper divisors (its aliquot sum) s(n): 317304860067120
- 135743048948400 is an abundant number, because the sum of its proper divisors (317304860067120) is greater than itself. Its abundance is 181561811118720
Bases of 135743048948400
- Binary: 111101101110101001001000011011010011010101100002
- Hexadecimal: 0x7B7524369AB0
- Base-36: 1C47HUK8MO
Squares and roots of 135743048948400
- 135743048948400 squared (1357430489484002) is 18426175337807718345862560000
- 135743048948400 cubed (1357430489484003) is 2501225220811834016569742162698931904000000
-
The
square root of 135743048948400 is 11650881.8957364769 -
The
cube root of 135743048948400 is 51393.2244583191
Scales and comparisons
How big is 135743048948400?- 135,743,048,948,400 seconds is equal to 4,316,209 years, 3 weeks, 6 days, 13 hours, 40 minutes.
-
To count from 1 to 135,743,048,948,400 would take you about ten million, seven hundred ninety thousand, five hundred twenty-two 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 135743048948400 cubic inches would be around 4282.8 feet tall.
Recreational maths with 135743048948400
- 135743048948400 backwards is 004849840347531
- 135743048948400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135743048948400's digits is 60
- More coming soon!
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