13648948152400

Names of 13648948152400

• Cardinal: 13648948152400 can be written as Thirteen trillion, six hundred forty-eight billion, nine hundred forty-eight million, one hundred fifty-two thousand, four hundred.

Scientific notation

• Scientific notation: 1.36489481524 × 10¹³

Factors of 13648948152400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 718

Divisors of 13648948152400

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 61 79 80 88 100 110 121 122 139 158 176 200 220 242 244 275 278 305 316 395 400 421 440 484 488 550 556 605 610 632 671 695 790 842 869 880 968 976 1100 1112 1210 1220 1264 1342 1390 1525 1529 1580 1684 1738 1936 1975 2105 2200 2224 2420 2440 2684 2780 3025 3050 3058 3160 3355 3368 3475 3476 3950 4210 4345 4400 4631 4819 4840 4880 5368 5560 6050 6100 6116 6320 6710 6736 6950 6952 7381 7645 7900 8420 8479 8690 9262 9559 9638 9680 10525 10736 10981 11120 12100 12200 12232 13420 13900 13904 14762 15290 15800 16775 16819 16840 16958 17380 18524 19118 19276 21050 21725 21962 23155 24095 24200 24400 24464 25681 26840 27800 29524 30580 31600 33259 33550 33638 33680 33916 34760 36905 37048 38225 38236 38552 42100 42395 43450 43924 46310 47795 48190 48400 50941 51362 53009 53680 54905 55600 58519 59048 61160 66518 67100 67276 67832 69520 73810 74096 76450 76472 77104 84095 84200 84790 86900 87848 92620 93269 95590 96380 101882 102724 106018 109810 115775 117038 118096 120475 120791 122320 128405 133036 134200 134552 135664 147620 152900 152944 166295 168190 168400 169580 173800 175696 184525 185240 186538 191180 192760 203764 205448 211975 212036 219620 231550 234076 238975 240950 241582 254705 256810 265045 266072 268400 269104 274525 282491 292595 295240 305800 332590 336380 339160 347600 365849 369050 370480 373076 382360 385520 407528 410896 420475 423950 424072 439240 463100 466345 468152 477950 481900 483164 509410 513620 530090 532144 549050 564982 583099 585190 590480 603955 611600 642025 643709 665180 669841 672760 678320 731698 738100 746152 764720 815056 831475 840950 847900 848144 878480 926200 932690 936304 955900 963800 966328 1018820 1025959 1027240 1060180 1098100 1129964 1166198 1170380 1207910 1273525 1284050 1287418 1325225 1328701 1330360 1339682 1345520 1412455 1462975 1463396 1476200 1492304 1662950 1681900 1695800 1829245 1852400 1865380 1911800 1927600 1932656 2028799 2037640 2051918 2054480 2120360 2196200 2259928 2331725 2332396 2340760 2415820 2547050 2568100 2574836 2650450 2657402 2660720 2679364 2824910 2915495 2925950 2926792 2952400 3019775 3107401 3218545 3325900 3349205 3363800 3391600 3569659 3658490 3730760 3823600 4024339 4057598 4075280 4103836 4240720 4392400 4519856 4623001 4663450 4664792 4681520 4831640 5094100 5129795 5136200 5149672 5300900 5314804 5358728 5649820 5830990 5851900 5853584 6039550 6214802 6437090 6643505 6651800 6698410 6727600 7062275 7080799 7139318 7316980 7368251 7461520 8048678 8115196 8207672 9146225 9246002 9326900 9329584 9663280 10143995 10188200 10259590 10272400 10299344 10601800 10629608 10717456 11299640 11661980 11703800 12079100 12429604 12874180 13287010 13303600 13396820 14124550 14161598 14278636 14577475 14633960 14736502 15537005 16092725 16097356 16230392 16415344 16746025 17848295 18292450 18492004 18653800 20121695 20287990 20376400 20519180 21203600 21259216 22316789 22599280 23115005 23323960 23407600 24158200 24859208 25648975 25748360 26574020 26793640 28249100 28323196 28557272 29154950 29267920 29473004 31074010 32185450 32194712 32460784 33217525 33492050 35403995 35696590 36584900 36841255 36984008 37307600 39266249 40243390 40575980 41038360 44633578 46230010 46647920 48316400 49718416 50719975 50853011 51297950 51496720 53148040 53587280 56498200 56646392 57114544 58309900 58946008 62148020 64370900 64389424 66435050 66984100 70807990 71393180 73169800 73682510 73968016 77685025 78532498 80486780 81050761 81151960 82076720 89241475 89267156 92460020 100608475 101439950 101706022 102595900 106296080 111583945 112996400 113292784 115575025 116619800 117892016 124296040 128741800 132870100 133968200 141615980 142786360 146339600 147365020 155370050 157064996 160973560 162101522 162303920 177019975 178482950 178534312 184206275 184920040 196331245 201216950 202879900 203412044 205191800 223167890 231150050 233239600 245484679 248592080 254265055 257483600 265740200 267936400 282003061 283231960 285572720 294730040 310740100 314129992 321947120 324203044 354039950 356965900 357068624 368412550 369840080 392662490 402433900 405253805 405759800 406824088 410383600 431928739 446335780 462300100 490969358 508530110 531480400 557919725 559383121 564006122 566463920 589460080 621480200 628259984 648406088 708079900 713931800 736825100 785324980 804867800 810507610 811519600 813648176 863857478 892671560 924600200 981656225 981938716 1017060220 1115839450 1118766242 1128012244 1227423395 1242960400 1271325275 1296812176 1410015305 1416159800 1427863600 1473650200 1570649960 1609735600 1621015220 1727714956 1785343120 1849200400 1963312450 1963877432 2026269025 2034120440 2159643695 2231678900 2237532484 2256024488 2454846790 2542650550 2796915605 2820030610 2832319600 2947300400 3102033671 3141299920 3242030440 3455429912 3926624900 3927754864 4052538050 4068240880 4319287390 4463357800 4475064968 4512048976 4909693580 5085301100 5593831210 5640061220 6137116975 6204067342 6484060880 6910859824 7050076525 7853249800 8105076100 8638574780 8926715600 8950129936 9819387160 10170602200 10798218475 11187662420 11280122440 12274233950 12408134684 13984578025 14100153050 15510168355 15706499600 16210152200 17277149560 19638774320 20341204400 21596436950 22375324840 22560244880 24548467900 24816269368 27969156050 28200306100 31020336710 32420304400 34122370381 34554299120 43192873900 44750649680 49096935800 49632538736 55938312100 56400612200 62040673420 68244740762 77550841775 86385747800 98193871600 111876624200 112801224400 124081346840 136489481524 155101683550 170611851905 172771495600 223753248400 248162693680 272978963048 310203367100 341223703810 545957926096 620406734200 682447407620 853059259525 1240813468400 1364894815240 1706118519050 2729789630480 3412237038100 6824474076200 13648948152400
• Sum of all divisors σ(n): 37453912518400
• Sum of proper divisors (its aliquot sum) s(n): 23804964366000
• 13648948152400 is an abundant number, because the sum of its proper divisors (23804964366000) is greater than itself. Its abundance is 10156016213600

Bases of 13648948152400

• Binary: 11000110100111100100101101001100100001010000₂
• Hexadecimal: 0xC69E4B4C850
• Base-36: 4U68NBOLS

Squares and roots of 13648948152400

• 13648948152400 squared (13648948152400²) is 186293785666903373625760000
• 13648948152400 cubed (13648948152400³) is 2542714221681882403278643841045824000000
• The square root of 13648948152400 is 3694448.2879585687
• The cube root of 13648948152400 is 23898.2662166715

Scales and comparisons

• 13,648,948,152,400 seconds is equal to 433,994 years, 17 weeks, 1 day, 22 hours, 46 minutes, 40 seconds.
• To count from 1 to 13,648,948,152,400 would take you about one million, eighty-four thousand, nine hundred eighty-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 13648948152400 cubic inches would be around 1991.5 feet tall.

Recreational maths with 13648948152400

• 13648948152400 backwards is 00425184984631
• 13648948152400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13648948152400's digits is 55
• More coming soon!