23134675899540800

Names of 23134675899540800

• Cardinal: 23134675899540800 can be written as Twenty-three quadrillion, one hundred thirty-four trillion, six hundred seventy-five billion, eight hundred ninety-nine million, five hundred forty thousand, eight hundred.

Scientific notation

• Scientific notation: 2.31346758995408 × 10¹⁶

Factors of 23134675899540800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1059

Divisors of 23134675899540800

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 50 56 64 67 70 74 80 100 112 134 140 148 160 175 185 200 224 259 268 280 296 320 335 350 370 400 448 469 518 536 560 592 670 700 740 800 925 938 941 1036 1072 1120 1184 1295 1340 1400 1480 1600 1675 1850 1876 1882 2072 2144 2240 2345 2368 2479 2590 2680 2800 2960 3350 3700 3752 3764 4144 4288 4690 4705 4958 5180 5360 5600 5920 6475 6587 6700 7400 7504 7528 8288 9380 9410 9916 10360 10720 11200 11725 11840 12395 12950 13174 13400 14800 15008 15056 16576 17353 18760 18820 19832 20720 21440 23450 23525 24790 25900 26348 26800 29600 30016 30112 32935 34706 34817 37520 37640 39664 41440 46900 47050 49580 51800 52696 53600 59200 60224 61975 63047 65870 69412 69634 75040 75280 79328 82880 86765 93800 94100 99160 103600 105392 107200 123950 126094 131740 138824 139268 150080 150560 158656 164675 173530 174085 187600 188200 198320 207200 210784 243719 247900 252188 263480 277648 278536 301120 315235 329350 347060 348170 375200 376400 396640 414400 421568 433825 441329 487438 495800 504376 526960 555296 557072 630470 658700 694120 696340 750400 752800 793280 867650 870425 882658 885481 974876 991600 1008752 1053920 1110592 1114144 1218595 1260940 1317400 1388240 1392680 1505600 1576175 1735300 1740850 1765316 1770962 1949752 1983200 2017504 2107840 2206645 2228288 2332739 2437190 2521880 2634800 2776480 2785360 3152350 3470600 3481700 3530632 3541924 3899504 3966400 4035008 4413290 4427405 4665478 4874380 5043760 5269600 5552960 5570720 6092975 6198367 6304700 6941200 6963400 7061264 7083848 7799008 8826580 8854810 9330956 9748760 10087520 10539200 11033225 11141440 11663695 12185950 12396734 12609400 13882400 13926800 14122528 14167696 15598016 16329173 17653160 17709620 18661912 19497520 20175040 22066450 22137025 23327390 24371900 24793468 25218800 27764800 27853600 28245056 28335392 30991835 32658346 32762797 35306320 35419240 37323824 38995040 44132900 44274050 46654780 48743800 49586936 50437600 55707200 56670784 58318475 59327227 61983670 65316692 65525594 70612640 70838480 74647648 77990080 81645865 88265800 88548100 93309560 97487600 99173872 100875200 116636950 118654454 123967340 130633384 131051188 141225280 141676960 149295296 154959175 163291730 163813985 176531600 177096200 186619120 194975200 198347744 229339579 233273900 237308908 247934680 261266768 262102376 283353920 296636135 309918350 326583460 327627970 353063200 354192400 373238240 389950400 396695488 408229325 415290589 458679158 466547800 474617816 495869360 522533536 524204752 593272270 619836700 653166920 655255940 706126400 708384800 746476480 816458650 819069925 830581178 833237621 917358316 933095600 949235632 991738720 1045067072 1048409504 1146697895 1186544540 1239673400 1306333840 1310511880 1416769600 1483180675 1632917300 1638139850 1661162356 1666475242 1834716632 1866191200 1898471264 1983477440 2076452945 2096819008 2195107399 2293395790 2373089080 2479346800 2612667680 2621023760 2966361350 3265834600 3276279700 3322324712 3332950484 3669433264 3732382400 3796942528 4152905890 4166188105 4390214798 4586791580 4746178160 4958693600 5225335360 5242047520 5733489475 5832663347 5932722700 6531669200 6552559400 6644649424 6665900968 7338866528 8305811780 8332376210 8780429596 9173583160 9492356320 9917387200 10382264725 10484095040 10975536995 11466978950 11665326694 11865445400 13063338400 13105118800 13289298848 13331801936 14677733056 15365751793 16611623560 16664752420 17560859192 18347166320 18984712640 20764529450 20830940525 21951073990 22933957900 23330653388 23730890800 26126676800 26210237600 26578597696 26663603872 29163316735 30731503586 30829791977 33223247120 33329504840 35121718384 36694332640 41529058900 41661881050 43902147980 45867915800 46661306776 47461781600 52420475200 53327207744 54877684975 55826920607 58326633470 61463007172 61659583954 66446494240 66659009680 70243436768 73388665280 76828758965 83058117800 83323762100 87804295960 91735831600 93322613552 94923563200 109755369950 111653841214 116653266940 122926014344 123319167908 132892988480 133318019360 140486873536 145816583675 153657517930 154148959885 166116235600 166647524200 175608591920 183471663200 186645227104 215808543839 219510739900 223307682428 233306533880 245852028688 246638335816 266636038720 279134603035 291633167350 307315035860 308297919770 332232471200 333295048400 351217183840 366943326400 373290454208 384143794825 390788444249 431617087678 439021479800 446615364856 466613067760 491704057376 493276671632 558269206070 583266334700 614630071720 616595839540 664464942400 666590096800 702434367680 768287589650 770744799425 781576888498 863234175356 878042959600 893230729712 933226135520 983408114752 986553343264 1079042719195 1116538412140 1166532669400 1229260143440 1233191679080 1333180193600 1395673015175 1536575179300 1541489598850 1563153776996 1726468350712 1756085919200 1786461459424 1866452271040 1953942221245 1973106686528 2065596062459 2158085438390 2233076824280 2333065338800 2458520286880 2466383358160 2791346030350 3073150358600 3082979197700 3126307553992 3452936701424 3512171838400 3572922918848 3907884442490 4131192124918 4316170876780 4466153648560 4666130677600 4917040573760 4932766716320 5395213595975 5582692060700 6146300717200 6165958395400 6252615107984 6905873402848 7815768884980 8262384249836 8632341753560 8932307297120 9332261355200 9769711106225 9865533432640 10327980312295 10790427191950 11165384121400 12292601434400 12331916790800 12505230215968 13811746805696 14459172437213 15631537769960 16524768499672 17264683507120 17864614594240 19539422212450 20655960624590 21580854383900 22330768242800 24585202868800 24663833581600 25010460431936 28918344874426 31263075539920 33049536999344 34529367014240 39078844424900 41311921249180 43161708767800 44661536485600 49327667163200 51639901561475 57836689748852 62526151079840 66099073998688 69058734028480 72295862186065 78157688849800 82623842498360 86323417535600 89323072971200 103279803122950 115673379497704 125052302159680 132198147997376 144591724372130 156315377699600 165247684996720 172646835071200 206559606245900 231346758995408 289183448744260 312630755399200 330495369993440 345293670142400 361479310930325 413119212491800 462693517990816 578366897488520 625261510798400 660990739986880 722958621860650 826238424983600 925387035981632 1156733794977040 1445917243721300 1652476849967200 2313467589954080 2891834487442600 3304953699934400 4626935179908160 5783668974885200 11567337949770400 23134675899540800
• Sum of all divisors σ(n): 67885739179305216
• Sum of proper divisors (its aliquot sum) s(n): 44751063279764416
• 23134675899540800 is an abundant number, because the sum of its proper divisors (44751063279764416) is greater than itself. Its abundance is 21616387380223616

Bases of 23134675899540800

• Binary: 1010010001100001101110101111010111111000110010101000000₂
• Hexadecimal: 0x5230DD7AFC6540
• Base-36: 6BSK3DYYERK

Squares and roots of 23134675899540800

• 23134675899540800 squared (23134675899540800²) is 535213228976793923653650864640000
• 23134675899540800 cubed (23134675899540800³) is 12381984589524846130070412835459413698957312000000
• The square root of 23134675899540800 is 152100874.0919683209
• The cube root of 23134675899540800 is 284940.6910526033

Scales and comparisons

• 23,134,675,899,540,800 seconds is equal to 735,611,133 years, 18 weeks, 2 days, 23 hours, 33 minutes, 20 seconds.
• To count from 1 to 23,134,675,899,540,800 would take you about two billion, two hundred six million, eight hundred thirty-three thousand, four hundred 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 23134675899540800 cubic inches would be around 23745.1 feet tall.

Recreational maths with 23134675899540800

• 23134675899540800 backwards is 00804599857643132
• 23134675899540800 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 23134675899540800's digits is 74
• More coming soon!