30138724122624

Names of 30138724122624

• Cardinal: 30138724122624 can be written as Thirty trillion, one hundred thirty-eight billion, seven hundred twenty-four million, one hundred twenty-two thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 3.0138724122624 × 10¹³

Factors of 30138724122624

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 448

Divisors of 30138724122624

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 64 72 78 87 96 104 116 117 128 144 156 169 174 192 208 232 234 256 261 288 312 338 348 377 384 401 416 464 468 507 512 522 576 624 676 696 754 768 802 832 928 936 1014 1024 1044 1131 1152 1203 1248 1352 1392 1508 1521 1536 1604 1664 1856 1872 2028 2048 2088 2197 2262 2304 2406 2496 2704 2784 3016 3042 3072 3208 3328 3393 3609 3712 3744 4056 4096 4176 4394 4524 4608 4812 4901 4992 5213 5408 5568 6032 6084 6144 6416 6591 6656 6786 7218 7424 7488 8112 8192 8352 8788 9048 9216 9624 9802 9984 10426 10816 11136 11629 12064 12168 12288 12832 13182 13312 13572 14436 14703 14848 14976 15639 16224 16384 16704 17576 18096 18432 19248 19604 19773 19968 20852 21632 22272 23258 24128 24336 24576 25664 26364 26624 27144 28872 29406 29696 29952 31278 32448 32768 33408 34887 35152 36192 36864 38496 39208 39546 39936 41704 43264 44109 44544 46516 46917 48256 48672 49152 51328 52728 53248 54288 57744 58812 59392 59904 62556 63713 64896 65536 66816 67769 69774 70304 72384 73728 76992 78416 79092 79872 83408 86528 88218 89088 93032 93834 96512 97344 98304 102656 104661 105456 106496 108576 115488 117624 118784 119808 125112 127426 129792 131072 133632 135538 139548 140608 144768 147456 151177 153984 156832 158184 159744 166816 173056 176436 178176 186064 187668 191139 193024 194688 196608 203307 205312 209322 210912 212992 217152 230976 235248 237568 239616 250224 254852 259584 267264 271076 279096 281216 289536 294912 302354 307968 313664 316368 319488 333632 346112 352872 356352 372128 375336 382278 386048 389376 393216 406614 410624 418644 421824 425984 434304 453531 461952 470496 475136 479232 500448 509704 519168 534528 542152 558192 562432 573417 579072 589824 604708 609921 615936 627328 632736 638976 667264 692224 705744 712704 744256 750672 764556 772096 778752 813228 821248 837288 843648 851968 868608 880997 907062 923904 940992 950272 958464 1000896 1019408 1038336 1069056 1084304 1116384 1124864 1146834 1158144 1179648 1209416 1219842 1231872 1254656 1265472 1277952 1334528 1360593 1384448 1411488 1425408 1488512 1501344 1529112 1544192 1557504 1626456 1642496 1674576 1687296 1703936 1737216 1761994 1814124 1847808 1881984 1900544 1916928 1965301 2001792 2038816 2076672 2138112 2168608 2232768 2249728 2293668 2316288 2418832 2439684 2463744 2509312 2530944 2555904 2642991 2669056 2721186 2768896 2822976 2850816 2977024 3002688 3058224 3088384 3115008 3252912 3284992 3349152 3374592 3474432 3523988 3628248 3695616 3763968 3801088 3833856 3930602 4003584 4077632 4153344 4276224 4337216 4465536 4499456 4587336 4632576 4837664 4879368 4927488 5018624 5061888 5111808 5285982 5338112 5442372 5537792 5645952 5701632 5895903 5954048 6005376 6116448 6176768 6230016 6505824 6569984 6698304 6749184 6948864 7047976 7256496 7391232 7527936 7667712 7861204 7928973 8007168 8155264 8306688 8552448 8674432 8931072 8998912 9174672 9265152 9675328 9758736 9854976 10037248 10123776 10571964 10676224 10884744 11075584 11291904 11403264 11791806 11908096 12010752 12232896 12353536 12460032 13011648 13139968 13396608 13498368 13897728 14095952 14512992 14782464 15055872 15335424 15722408 15857946 16014336 16310528 16613376 17104896 17348864 17687709 17862144 17997824 18349344 18530304 19350656 19517472 19709952 20074496 20247552 21143928 21352448 21769488 22151168 22583808 23583612 23816192 24021504 24465792 24707072 24920064 25548913 26023296 26279936 26793216 26996736 27795456 28191904 29025984 29564928 30111744 31444816 31715892 32028672 32621056 33226752 34209792 34697728 35375418 35724288 35995648 36698688 37060608 38701312 39034944 39419904 40148992 40495104 42287856 42704896 43538976 45167616 47167224 47632384 48043008 48931584 49414144 49840128 51097826 52046592 52559872 53586432 53993472 55590912 56383808 58051968 59129856 60223488 62889632 63431784 64057344 65242112 66453504 69395456 70750836 71448576 71991296 73397376 74121216 76646739 77402624 78069888 78839808 80297984 80990208 84575712 85409792 87077952 90335232 94334448 95264768 96086016 97863168 99680256 102195652 104093184 107172864 107986944 111181824 112767616 116103936 118259712 120446976 125779264 126863568 128114688 130484224 138790912 141501672 142897152 143982592 146794752 148242432 153293478 154805248 156139776 157679616 160595968 161980416 169151424 170819584 174155904 180670464 188668896 190529536 192172032 195726336 199360512 204391304 208186368 214345728 215973888 222363648 225535232 229940217 232207872 236519424 240893952 251558528 253727136 256229376 260968448 277581824 283003344 285794304 287965184 293589504 306586956 309610496 312279552 321191936 323960832 338302848 341639168 348311808 361340928 377337792 381059072 384344064 391452672 408782608 416372736 428691456 431947776 444727296 451070464 459880434 464415744 473038848 481787904 503117056 507454272 512458752 521936896 555163648 566006688 571588608 587179008 613173912 619220992 624559104 642383872 647921664 676605696 683278336 696623616 722681856 754675584 762118144 768688128 782905344 817565216 832745472 857382912 863895552 902140928 919760868 928831488 963575808 1006234112 1014908544 1024917504 1043873792 1110327296 1132013376 1143177216 1174358016 1226347824 1238441984 1249118208 1295843328 1353211392 1393247232 1445363712 1509351168 1524236288 1537376256 1565810688 1635130432 1665490944 1714765824 1804281856 1839521736 1857662976 1927151616 2012468224 2029817088 2049835008 2087747584 2220654592 2264026752 2286354432 2348716032 2452695648 2476883968 2498236416 2591686656 2706422784 2786494464 2890727424 3018702336 3074752512 3131621376 3270260864 3330981888 3429531648 3608563712 3679043472 3715325952 4024936448 4059634176 4175495168 4441309184 4528053504 4572708864 4697432064 4905391296 4953767936 4996472832 5412845568 5572988928 5781454848 6037404672 6149505024 6263242752 6540521728 6661963776 6859063296 7217127424 7358086944 7430651904 8049872896 8119268352 8350990336 8882618368 9056107008 9394864128 9810782592 9907535872 9992945664 10825691136 11145977856 12074809344 12526485504 13081043456 13323927552 13718126592 14434254848 14716173888 14861303808 16099745792 16238536704 18112214016 18789728256 19621565184 19815071744 19985891328 21651382272 22291955712 24149618688 25052971008 26162086912 26647855104 28868509696 29432347776 29722607616 32199491584 32477073408 36224428032 37579456512 39243130368 39971782656 43302764544 44583911424 48299237376 52324173824 57737019392 58864695552 59445215232 64398983168 64954146816 72448856064 75158913024 78486260736 79943565312 86605529088 89167822848 96598474752 104648347648 115474038784 117729391104 128797966336 129908293632 144897712128 156972521472 173211058176 178335645696 193196949504 209296695296 235458782208 257595932672 259816587264 289795424256 313945042944 346422116352 386393899008 418593390592 470917564416 519633174528 579590848512 627890085888 772787798016 837186781184 941835128832 1039266349056 1159181697024 1255780171776 1674373562368 1883670257664 2318363394048 2511560343552 3348747124736 3767340515328 5023120687104 7534681030656 10046241374208 15069362061312 30138724122624
• Sum of all divisors σ(n): 97815095305200
• Sum of proper divisors (its aliquot sum) s(n): 67676371182576
• 30138724122624 is an abundant number, because the sum of its proper divisors (67676371182576) is greater than itself. Its abundance is 37537647059952

Bases of 30138724122624

• Binary: 110110110100100110111111100100000000000000000₂
• Hexadecimal: 0x1B6937F20000
• Base-36: AOLJE6M80

Squares and roots of 30138724122624

• 30138724122624 squared (30138724122624²) is 908342691739637798588645376
• 30138724122624 cubed (30138724122624³) is 27376289795142637703512117935274274586624
• The square root of 30138724122624 is 5489874.6909764709
• The cube root of 30138724122624 is 31120.1456591191

Scales and comparisons

• 30,138,724,122,624 seconds is equal to 958,318 years, 10 weeks, 3 days, 11 hours, 50 minutes, 24 seconds.
• To count from 1 to 30,138,724,122,624 would take you about two million, three hundred ninety-five thousand, seven hundred ninety-five 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 30138724122624 cubic inches would be around 2593.3 feet tall.

Recreational maths with 30138724122624

• 30138724122624 backwards is 42622142783103
• The number of decimal digits it has is: 14
• The sum of 30138724122624's digits is 45
• More coming soon!