1353328005120

Names of 1353328005120

• Cardinal: 1353328005120 can be written as One trillion, three hundred fifty-three billion, three hundred twenty-eight million, five thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.35332800512 × 10¹²

Factors of 1353328005120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 410

Divisors of 1353328005120

• Number of divisors d(n): 1248
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 49 52 56 60 64 65 70 78 80 84 91 96 98 104 105 112 120 128 130 140 147 151 156 160 168 182 192 195 196 208 210 224 229 240 245 256 260 273 280 294 302 312 320 336 364 384 390 392 416 420 448 453 455 458 480 490 512 520 546 560 588 604 624 637 640 672 687 728 735 755 768 780 784 832 840 896 906 910 916 960 980 1024 1040 1057 1092 1120 1145 1176 1208 1248 1274 1280 1344 1365 1374 1456 1470 1510 1536 1560 1568 1603 1664 1680 1792 1812 1820 1832 1911 1920 1960 1963 2048 2080 2114 2184 2240 2265 2290 2352 2416 2496 2548 2560 2688 2730 2748 2912 2940 2977 3020 3072 3120 3136 3171 3185 3206 3328 3360 3435 3584 3624 3640 3664 3822 3840 3920 3926 4096 4160 4228 4368 4480 4530 4580 4704 4809 4832 4992 5096 5120 5285 5376 5460 5496 5824 5880 5889 5954 6040 6144 6240 6272 6342 6370 6412 6656 6720 6870 7168 7248 7280 7328 7399 7644 7680 7840 7852 8015 8320 8456 8736 8931 8960 9060 9160 9408 9555 9618 9664 9815 9984 10192 10240 10570 10752 10920 10992 11221 11648 11760 11778 11908 12080 12288 12480 12544 12684 12740 12824 13312 13440 13740 13741 14336 14496 14560 14656 14798 14885 15288 15360 15680 15704 15855 16030 16640 16912 17472 17862 17920 18120 18320 18816 19110 19236 19328 19630 19968 20384 20480 20839 21140 21504 21840 21984 22197 22442 23296 23520 23556 23816 24045 24160 24960 25088 25368 25480 25648 26624 26880 27480 27482 28672 28992 29120 29312 29445 29596 29770 30576 30720 31360 31408 31710 32060 33280 33663 33824 34579 34944 35724 35840 36240 36640 36995 37632 38220 38472 38656 39260 39936 40768 41223 41678 42280 43008 43680 43968 44394 44655 44884 46592 47040 47112 47632 48090 48320 49920 50176 50736 50960 51296 53248 53760 54960 54964 56105 57984 58240 58624 58890 59192 59540 61152 61440 62517 62720 62816 63420 64120 66560 67326 67648 68705 69158 69888 71448 71680 72480 73280 73990 75264 76440 76944 77312 78520 79872 81536 82446 83356 84560 86016 87360 87936 88788 89310 89768 93184 94080 94224 95264 96180 96187 96640 99840 100352 101472 101920 102592 103737 104195 107520 109920 109928 110985 112210 115968 116480 117248 117780 118384 119080 122304 125034 125440 125632 126840 128240 133120 134652 135296 137410 138316 139776 142896 143360 144960 145873 146560 147980 150528 152880 153888 154624 157040 159744 163072 164892 166712 168315 169120 172895 174720 175872 177576 178620 179536 186368 188160 188448 190528 192360 192374 193280 199680 200704 202944 203840 205184 206115 207474 208390 215040 219840 219856 221970 224420 231936 232960 234496 235560 236768 238160 242053 244608 250068 250880 251264 253680 256480 266240 269304 270592 274820 276632 279552 285792 288561 289920 291746 293120 295960 301056 305760 307776 309248 312585 314080 326144 329784 333424 336630 338240 345790 349440 351744 355152 357240 359072 372736 376320 376896 381056 384720 384748 386560 399360 405888 407680 410368 412230 414948 416780 430080 437619 439680 439712 443940 448840 449527 463872 465920 468992 471120 473536 476320 480935 484106 489216 500136 501760 502528 507360 512960 518685 538608 541184 549640 553264 559104 571584 577122 579840 583492 586240 591920 602112 611520 615552 618496 625170 628160 652288 659568 666848 673260 676480 691580 698880 703488 710304 714480 718144 726159 729365 752640 753792 762112 769440 769496 773120 798720 811776 815360 820736 824460 829896 833560 875238 879360 879424 887880 897680 899054 927744 931840 937984 942240 947072 952640 961870 968212 978432 1000272 1003520 1005056 1014720 1025920 1037370 1077216 1082368 1099280 1106528 1118208 1143168 1154244 1159680 1166984 1172480 1183840 1210265 1223040 1231104 1250340 1256320 1304576 1319136 1333696 1346520 1348581 1352960 1383160 1397760 1406976 1420608 1428960 1436288 1442805 1452318 1458730 1505280 1507584 1524224 1538880 1538992 1546240 1623552 1630720 1641472 1648920 1659792 1667120 1694371 1750476 1758720 1758848 1775760 1795360 1798108 1855488 1863680 1884480 1894144 1905280 1923740 1936424 1956864 2000544 2010112 2029440 2051840 2074740 2154432 2164736 2188095 2198560 2213056 2247635 2286336 2308488 2319360 2333968 2344960 2367680 2420530 2446080 2462208 2500680 2512640 2609152 2638272 2667392 2693040 2697162 2705920 2766320 2795520 2813952 2841216 2857920 2872576 2885610 2904636 2917460 3010560 3015168 3048448 3077760 3077984 3092480 3146689 3247104 3261440 3282944 3297840 3319584 3334240 3388742 3500952 3517440 3517696 3551520 3590720 3596216 3630795 3768960 3788288 3810560 3847480 3872848 3913728 4001088 4020224 4058880 4103680 4149480 4308864 4329472 4376190 4397120 4426112 4495270 4572672 4616976 4638720 4667936 4689920 4735360 4841060 4892160 4924416 5001360 5025280 5083113 5276544 5334784 5386080 5394324 5411840 5532640 5591040 5682432 5715840 5745152 5771220 5809272 5834920 6030336 6096896 6155520 6155968 6293378 6494208 6522880 6565888 6595680 6639168 6668480 6742905 6777484 7001904 7034880 7035392 7103040 7181440 7192432 7261590 7537920 7576576 7621120 7694960 7745696 7827456 8002176 8040448 8117760 8207360 8298960 8471855 8617728 8752380 8794240 8852224 8990540 9145344 9233952 9277440 9335872 9440067 9470720 9682120 9784320 9848832 10002720 10050560 10166226 10553088 10669568 10772160 10788648 10823680 11065280 11364864 11431680 11490304 11542440 11618544 11669840 12060672 12193792 12311040 12311936 12586756 12988416 13045760 13191360 13278336 13336960 13485810 13554968 14003808 14069760 14070784 14206080 14362880 14384864 14523180 15075840 15153152 15242240 15389920 15491392 15733445 16004352 16235520 16414720 16597920 16943710 17235456 17504760 17588480 17704448 17981080 18290688 18467904 18671744 18880134 18941440 19364240 19568640 19697664 20005440 20101120 20332452 21106176 21339136 21544320 21577296 21647360 22026823 22130560 22729728 22863360 22980608 23084880 23237088 23339680 24121344 24622080 24623872 25173512 25415565 26382720 26556672 26673920 26971620 27109936 28007616 28141568 28412160 28725760 28769728 29046360 30151680 30306304 30484480 30779840 30982784 31466890 32008704 32471040 32829440 33195840 33887420 34470912 35009520 35176960 35408896 35962160 36581376 36935808 37343488 37760268 37882880 38728480 39137280 40010880 40202240 40664904 42212352 42678272 43088640 43154592 44053646 44261120 45459456 45726720 45961216 46169760 46474176 46679360 47200335 49244160 49247744 50347024 50831130 52765440 53113344 53347840 53943240 54219872 56015232 56283136 56824320 57451520 57539456 58092720 60303360 60968960 61559680 61965568 62933780 64017408 64942080 66080469 66391680 67774840 68941824 70019040 70353920 70817792 71924320 73871616 74686976 75520536 75765760 77456960 80021760 81329808 84424704 85356544 86177280 86309184 88107292 88522240 90918912 91453440 92339520 92948352 93358720 94400670 98488320 98495488 100694048 101662260 105530880 106226688 106695680 107886480 108439744 110134115 112030464 113648640 114903040 115078912 116185440 120606720 123119360 123931136 125867560 128034816 132160938 132783360 135549680 137883648 140038080 140707840 141635584 143848640 147743232 149373952 151041072 151531520 154913920 160043520 162659616 168849408 172354560 172618368 176214584 177044480 182906880 184679040 185896704 186717440 188801340 196990976 201388096 203324520 211061760 212453376 213391360 215772960 216879488 220268230 224060928 227297280 229806080 230157824 232370880 246238720 247862272 251735120 256069632 264321876 265566720 271099360 280076160 281415680 287697280 295486464 298747904 302082144 309827840 320087040 325319232 330402345 344709120 345236736 352429168 354088960 369358080 371793408 373434880 377602680 393981952 402776192 406649040 422123520 424906752 426782720 431545920 433758976 440536460 448121856 454594560 460315648 464741760 492477440 495724544 503470240 528643752 531133440 542198720 560152320 575394560 590972928 597495808 604164288 619655680 640174080 650638464 660804690 689418240 690473472 704858336 708177920 738716160 743586816 746869760 755205360 805552384 813298080 844247040 863091840 867517952 881072920 896243712 920631296 929483520 984954880 991449088 1006940480 1057287504 1062266880 1084397440 1120304640 1150789120 1181945856 1208328576 1239311360 1280348160 1301276928 1321609380 1380946944 1409716672 1477432320 1487173632 1493739520 1510410720 1611104768 1626596160 1726183680 1735035904 1762145840 1792487424 1841262592 1858967040 1969909760 2013880960 2114575008 2124533760 2168794880 2240609280 2301578240 2416657152 2478622720 2602553856 2643218760 2761893888 2819433344 2954864640 2974347264 2987479040 3020821440 3222209536 3253192320 3452367360 3470071808 3524291680 3717934080 4027761920 4229150016 4337589760 4481218560 4603156480 4833314304 4957245440 5205107712 5286437520 5523787776 5638866688 5909729280 6041642880 6444419072 6506384640 6904734720 6940143616 7048583360 7435868160 8055523840 8458300032 8675179520 8962437120 9206312960 9666628608 10410215424 10572875040 11277733376 12083285760 12888838144 13012769280 13809469440 14097166720 14871736320 16111047680 16916600064 17350359040 19333257216 20820430848 21145750080 22555466752 24166571520 26025538560 27618938880 28194333440 32222095360 33833200128 34700718080 38666514432 42291500160 45110933504 48333143040 52051077120 56388666880 64444190720 67666400256 84583000320 90221867008 96666286080 104102154240 112777333760 135332800512 169166000640 193332572160 225554667520 270665601024 338332001280 451109335040 676664002560 1353328005120
• Sum of all divisors σ(n): 5484316158720
• Sum of proper divisors (its aliquot sum) s(n): 4130988153600
• 1353328005120 is an abundant number, because the sum of its proper divisors (4130988153600) is greater than itself. Its abundance is 2777660148480

Bases of 1353328005120

• Binary: 10011101100011000101000101001000000000000₂
• Hexadecimal: 0x13B18A29000
• Base-36: H9PKJVUO

Squares and roots of 1353328005120

• 1353328005120 squared (1353328005120²) is 1831496689442078746214400
• 1353328005120 cubed (1353328005120³) is 2478615761106532595400284703817728000
• The square root of 1353328005120 is 1163326.2676996507
• The cube root of 1353328005120 is 11061.1688771571

Scales and comparisons

• 1,353,328,005,120 seconds is equal to 43,031 years, 33 weeks, 3 days, 13 hours, 52 minutes.
• To count from 1 to 1,353,328,005,120 would take you about one hundred seven thousand, five hundred seventy-nine 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 1353328005120 cubic inches would be around 921.8 feet tall.

Recreational maths with 1353328005120

• 1353328005120 backwards is 0215008233531
• The number of decimal digits it has is: 13
• The sum of 1353328005120's digits is 33
• More coming soon!