135387085376816

Names of 135387085376816

• Cardinal: 135387085376816 can be written as One hundred thirty-five trillion, three hundred eighty-seven billion, eighty-five million, three hundred seventy-six thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.35387085376816 × 10¹⁴

Factors of 135387085376816

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 11712

Divisors of 135387085376816

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 7 8 13 14 16 19 26 28 31 38 49 52 56 62 76 91 98 104 112 124 133 151 152 169 182 196 208 217 247 248 266 302 304 338 364 392 403 434 494 496 532 589 604 637 676 728 784 806 868 931 988 1057 1064 1178 1183 1208 1274 1352 1456 1519 1612 1729 1736 1862 1963 1976 2114 2128 2356 2366 2416 2548 2704 2821 2869 3038 3211 3224 3458 3472 3724 3926 3952 4123 4228 4681 4712 4732 5096 5239 5642 5738 6076 6422 6448 6916 7399 7448 7657 7852 8246 8281 8456 9362 9424 9464 10192 10478 11284 11476 11489 12103 12152 12844 13741 13832 14798 14896 15314 15704 16492 16562 16912 18724 18928 19747 20083 20956 22477 22568 22952 22978 24206 24304 25519 25688 27482 27664 28861 29596 30628 31408 32767 32984 33124 36673 37297 37448 39494 40166 41912 44954 45136 45904 45956 48412 51038 51376 53599 54964 57722 59192 60853 61256 65534 65968 66248 73346 74594 74896 78988 80332 80423 83824 88939 89908 91912 96187 96824 99541 102076 107198 109928 115444 118384 121706 122512 131068 132496 140581 146692 149188 149357 157339 157976 160664 160846 177878 178633 179816 183824 192374 193648 199082 204152 214396 218291 219856 229369 230888 243412 256711 261079 262136 281162 293384 298376 298714 314678 315952 321328 321692 355756 356159 357266 359632 375193 384748 398164 408304 425971 428792 436582 458738 461776 484861 486824 513422 522158 524272 562324 562961 586768 596752 597428 622573 629356 643384 696787 711512 712318 714532 750386 769496 791089 796328 851942 857584 873164 917476 969722 973648 1026844 1044316 1045499 1124648 1125922 1156207 1194856 1245146 1250431 1258712 1286768 1393574 1423024 1424636 1429064 1500772 1528037 1538992 1582178 1592656 1703884 1734839 1746328 1827553 1834952 1939444 1941641 2053688 2088632 2090998 2249296 2251844 2312414 2389712 2490292 2493113 2500862 2517424 2787148 2837783 2849272 2858128 2981797 3001544 3056074 3164356 3394027 3407768 3469678 3492656 3655106 3669904 3878888 3883282 4107376 4177264 4181996 4358011 4503688 4624828 4630067 4877509 4980584 4986226 5001724 5537623 5574296 5675566 5698544 5963594 6003088 6112148 6328712 6767021 6788054 6815536 6939356 7310212 7318493 7757776 7766564 8093449 8363992 8716022 9007376 9249656 9260134 9755018 9961168 9972452 10003448 10696259 11075246 11148592 11351132 11927188 12143873 12224296 12657424 13534042 13576108 13591487 13878712 14620424 14636986 15030691 15533128 16186898 16727984 17432044 17451791 18499312 18520268 19510036 19864481 19944904 20006896 21392518 22150492 22552907 22702264 23758189 23854376 24287746 24448592 27068084 27152216 27182974 27757424 29240848 29273972 30061382 31066256 32373796 32410469 32961941 34864088 34903582 36891179 37040536 38763361 39020072 39728962 39889808 42785036 44300984 45105814 45404528 47369147 47516378 47708752 48575492 53780009 54136168 54304432 54365948 56654143 58547944 60122764 60190871 64747592 64820938 65923882 69728176 69807164 73782358 74081072 77526722 78040144 79457924 85007111 85570072 87971273 88601968 90211628 94738294 95032756 95140409 97150984 105214837 107560018 108272336 108731896 113308286 117095888 120245528 120381742 129495184 129641876 131847764 139051367 139614328 147564716 155053444 157870349 158915848 170014222 171140144 175942546 180423256 189476588 190065512 190280818 194301968 210429674 215120036 217463792 226616572 226873283 230733587 240491056 240763484 258238253 259283752 263695528 278102734 279228656 293187791 295129432 310106888 315740698 317831696 331584029 340028444 351885092 360846512 376460063 378953176 380131024 380561636 420859348 421336097 428505233 430240072 453233144 453746566 461467174 481526968 516476506 518567504 527391056 556205468 586375582 590258864 615798911 620213776 631481396 663168058 680056888 699140117 703770184 736503859 752920126 757906352 761123272 841718696 842672194 857010466 860480144 906466288 907493132 922934348 963053936 1021820171 1032953012 1105092443 1112410936 1143626549 1172751164 1231597822 1262962792 1326336116 1360113776 1398280234 1407540368 1473007718 1505840252 1522246544 1615135109 1683437392 1685344388 1714020932 1807667771 1814986264 1845868696 2043640342 2052314537 2065906024 2210184886 2224821872 2287253098 2345502328 2463195644 2525925584 2635220441 2652672232 2796560468 2946015436 2949352679 2999536631 3011680504 3230270218 3370688776 3428041864 3615335542 3629972528 3691737392 4087280684 4104629074 4131812048 4310592377 4420369772 4574506196 4691004656 4893980819 4926391288 5270440882 5305344464 5570568029 5593120936 5892030872 5898705358 5999073262 6023361008 6460540436 6741377552 6856083728 7152741197 7230671084 8005385843 8174561368 8209258148 8621184754 8840739544 9088821521 9149012392 9787961638 9852782576 10540881764 11141136058 11186241872 11784061744 11797410716 11998146524 12921080872 13283662223 14305482394 14366201759 14461342168 16010771686 16349122736 16418516296 17242369508 17681479088 18177643042 18298024784 19575923276 20996756417 21081763528 22282272116 23594821432 23996293048 25842161744 26567324446 28610964788 28732403518 28922684336 32021543372 32837032592 34257865733 34484739016 36355286084 38993976203 39151846552 41993512834 42163527056 44564544232 47189642864 47992586096 50069188379 53134648892 56037700901 57221929576 57464807036 63621750647 64043086744 68515731466 68969478032 72710572168 77987952406 78303693104 83987025668 89129088464 92985635561 100138376758 106269297784 112075401802 114443859152 114929614072 127243501294 128086173488 137031462932 145421144336 155975904812 167974051336 172687608899 185971271122 200276753516 212538595568 224150803604 229859228144 254487002588 272957833421 274062925864 311951809624 335948102672 345375217798 371942542244 400553507032 445352254529 448301607208 508974005176 545915666842 548125851728 623903619248 650899448927 690750435596 743885084488 801107014064 890704509058 896603214416 1017948010352 1091831333684 1208813262293 1301798897854 1381500871192 1487770168976 1781409018116 2183662667368 2417626524586 2603597795708 2763001742384 3562818036232 4367325334736 4835253049172 5207195591416 7125636072464 8461692836051 9670506098344 10414391182832 16923385672102 19341012196688 33846771344204 67693542688408 135387085376816
• Sum of all divisors σ(n): 361435852339200
• Sum of proper divisors (its aliquot sum) s(n): 226048766962384
• 135387085376816 is an abundant number, because the sum of its proper divisors (226048766962384) is greater than itself. Its abundance is 90661681585568

Bases of 135387085376816

• Binary: 11110110010001001000011001000011000110100110000₂
• Hexadecimal: 0x7B2243218D30
• Base-36: 1BZNYV1IY8

Squares and roots of 135387085376816

• 135387085376816 squared (135387085376816²) is 18329662886829264784710297856
• 135387085376816 cubed (135387085376816³) is 2481599634187409302258536035320985356906496
• The square root of 135387085376816 is 11635595.6176216437
• The cube root of 135387085376816 is 51348.2617381781

Scales and comparisons

• 135,387,085,376,816 seconds is equal to 4,304,890 years, 27 weeks, 5 days, 19 hours, 46 minutes, 56 seconds.
• To count from 1 to 135,387,085,376,816 would take you about ten million, seven hundred sixty-two thousand, two hundred twenty-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 135387085376816 cubic inches would be around 4279 feet tall.

Recreational maths with 135387085376816

• 135387085376816 backwards is 618673580783531
• The number of decimal digits it has is: 15
• The sum of 135387085376816's digits is 71
• More coming soon!