13006400940288

Names of 13006400940288

• Cardinal: 13006400940288 can be written as Thirteen trillion, six billion, four hundred million, nine hundred forty thousand, two hundred eighty-eight.

Scientific notation

• Scientific notation: 1.3006400940288 × 10¹³

Factors of 13006400940288

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 10215

Divisors of 13006400940288

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 54 56 63 64 69 72 84 92 96 108 112 126 128 138 144 161 168 184 189 192 207 216 224 252 256 276 288 322 336 368 378 384 414 432 448 483 504 552 576 621 644 672 736 756 768 828 864 896 966 1008 1104 1152 1242 1288 1319 1344 1449 1472 1512 1656 1728 1792 1932 2016 2208 2304 2484 2576 2638 2688 2898 2944 3024 3312 3456 3864 3957 4032 4347 4416 4968 5152 5276 5376 5796 5888 6048 6624 6912 7728 7914 8064 8694 8832 8861 9233 9936 10304 10552 11592 11871 12096 13248 15456 15828 16128 17388 17664 17722 18466 19872 20608 21104 23184 23742 24192 26496 26583 27699 30337 30912 31656 34776 35444 35613 36932 39744 41216 42208 46368 47484 48384 52992 53166 55398 60674 61824 62027 63312 69552 70888 71226 73864 79488 79749 83097 84416 91011 92736 94968 106332 110796 121348 123648 124054 126624 139104 141776 142452 147728 158976 159498 166194 168832 182022 185472 186081 189936 203803 212359 212664 221592 239247 242696 248108 249291 253248 273033 278208 283552 284904 295456 318996 332388 337664 364044 370944 372162 379872 407606 424718 425328 443184 478494 485392 496216 498582 506496 546066 556416 558243 567104 569808 590912 611409 637077 637992 664776 728088 744324 759744 815212 819099 849436 850656 886368 956988 970784 992432 997164 1012992 1092132 1112832 1116486 1134208 1139616 1181824 1222818 1274154 1275984 1329552 1426621 1456176 1488648 1519488 1630424 1638198 1674729 1698872 1701312 1772736 1834227 1911231 1913976 1941568 1984864 1994328 2184264 2232972 2268416 2279232 2363648 2445636 2548308 2551968 2659104 2853242 2912352 2977296 3038976 3260848 3276396 3349458 3397744 3402624 3545472 3668454 3822462 3827952 3883136 3969728 3988656 4279863 4368528 4465944 4558464 4891272 5096616 5103936 5318208 5502681 5706484 5733693 5824704 5954592 6521696 6552792 6698916 6795488 6805248 7090944 7336908 7644924 7655904 7766272 7939456 7977312 8559726 8737056 8931888 9116928 9782544 10193232 10207872 10636416 11005362 11412968 11467386 11649408 11687659 11909184 12839589 13043392 13105584 13397832 13590976 14673816 15289848 15311808 15878912 15954624 17119452 17474112 17863776 19565088 20386464 20415744 21272832 22010724 22825936 22934772 23298816 23375318 23818368 25679178 26086784 26211168 26795664 27181952 29347632 30579696 30623616 31909248 34238904 34948224 35062977 35727552 38518767 39130176 40772928 44021448 45651872 45869544 46750636 47636736 51358356 52173568 52422336 53591328 54363904 58695264 61159392 61247232 63818496 68477808 69896448 70125954 71455104 77037534 78260352 81545856 81813613 88042896 91303744 91739088 93501272 102716712 104844672 105188931 107182656 117390528 122318784 136955616 140251908 142910208 154075068 156520704 163091712 163627226 176085792 182607488 183478176 187002544 205433424 209689344 210377862 214365312 234781056 244637568 245440839 268816157 273911232 280503816 308150136 315566793 327254452 352171584 365214976 366956352 374005088 410866848 420755724 428730624 469562112 489275136 490881678 537632314 547822464 561007632 616300272 631133586 654508904 704343168 733912704 736322517 748010176 806448471 821733696 841511448 981763356 1075264628 1095644928 1122015264 1232600544 1262267172 1309017808 1408686336 1467825408 1472645034 1496020352 1612896942 1643467392 1683022896 1881713099 1963526712 2150529256 2208967551 2244030528 2419345413 2465201088 2524534344 2618035616 2945290068 2992040704 3225793884 3286934784 3366045792 3763426198 3927053424 4301058512 4417935102 4488061056 4838690826 4930402176 5049068688 5236071232 5645139297 5890580136 6451587768 6732091584 7258036239 7526852396 7854106848 8602117024 8835870204 8976122112 9677381652 9860804352 10098137376 10472142464 11290278594 11781160272 12903175536 13464183168 14516072478 15053704792 15708213696 16935417891 17204234048 17671740408 19354763304 20196274752 20944284928 22580557188 23562320544 25806351072 26928366336 29032144956 30107409584 31416427392 33870835782 34408468096 35343480816 38709526608 40392549504 45161114376 47124641088 50806253673 51612702144 58064289912 60214819168 62832854784 67741671564 68816936192 70686961632 77419053216 80785099008 90322228752 94249282176 101612507346 103225404288 116128579824 120429638336 135483343128 141373923264 154838106432 180644457504 188498564352 203225014692 206450808576 232257159648 240859276672 270966686256 282747846528 309676212864 361288915008 406450029384 464514319296 481718553344 541933372512 565495693056 619352425728 722577830016 812900058768 929028638592 1083866745024 1445155660032 1625800117536 1858057277184 2167733490048 3251600235072 4335466980096 6503200470144 13006400940288
• Sum of all divisors σ(n): 45907939123200
• Sum of proper divisors (its aliquot sum) s(n): 32901538182912
• 13006400940288 is an abundant number, because the sum of its proper divisors (32901538182912) is greater than itself. Its abundance is 19895137242624

Bases of 13006400940288

• Binary: 10111101010001001001111010000110100100000000₂
• Hexadecimal: 0xBD449E86900
• Base-36: 4LZ23AYO0

Squares and roots of 13006400940288

• 13006400940288 squared (13006400940288²) is 169166465419524570541522944
• 13006400940288 cubed (13006400940288³) is 2200246874897701810685183404189125967872
• The square root of 13006400940288 is 3606438.8169339571
• The cube root of 13006400940288 is 23517.2054114073

Scales and comparisons

• 13,006,400,940,288 seconds is equal to 413,563 years, 16 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
• To count from 1 to 13,006,400,940,288 would take you about one million, thirty-three thousand, nine hundred eight 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 13006400940288 cubic inches would be around 1959.8 feet tall.

Recreational maths with 13006400940288

• 13006400940288 backwards is 88204900460031
• The number of decimal digits it has is: 14
• The sum of 13006400940288's digits is 45
• More coming soon!