138264436800

Names of 138264436800

• Cardinal: 138264436800 can be written as One hundred thirty-eight billion, two hundred sixty-four million, four hundred thirty-six thousand, eight hundred.

Scientific notation

• Scientific notation: 1.382644368 × 10¹¹

Factors of 138264436800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 279

Divisors of 138264436800

• Number of divisors d(n): 1134
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 29 30 32 35 36 40 42 45 48 49 50 56 58 60 63 64 70 72 75 80 84 87 90 96 98 100 105 112 116 120 126 140 144 145 147 150 160 168 174 175 180 192 196 200 203 210 224 225 232 233 240 245 252 261 280 288 290 294 300 315 320 336 348 350 360 392 400 406 420 435 441 448 450 464 466 480 490 504 522 525 560 576 580 588 600 609 630 672 696 699 700 720 725 735 784 800 812 840 841 870 882 900 928 932 960 980 1008 1015 1044 1050 1120 1160 1165 1176 1200 1218 1225 1260 1305 1344 1392 1398 1400 1421 1440 1450 1470 1568 1575 1600 1624 1631 1680 1682 1740 1764 1800 1827 1856 1864 1960 2016 2030 2088 2097 2100 2175 2205 2240 2320 2330 2352 2400 2436 2450 2520 2523 2610 2784 2796 2800 2842 2880 2900 2940 3045 3136 3150 3248 3262 3360 3364 3480 3495 3528 3600 3654 3675 3728 3920 4032 4060 4176 4194 4200 4205 4263 4350 4410 4640 4660 4704 4800 4872 4893 4900 5040 5046 5075 5220 5568 5592 5600 5684 5800 5825 5880 5887 6090 6300 6496 6524 6525 6720 6728 6757 6960 6990 7056 7105 7200 7308 7350 7456 7569 7840 8120 8155 8352 8388 8400 8410 8526 8700 8820 9135 9280 9320 9408 9744 9786 9800 10080 10092 10150 10440 10485 11025 11184 11200 11368 11417 11600 11650 11760 11774 12180 12600 12615 12789 12992 13048 13050 13456 13514 13920 13980 14112 14210 14400 14616 14679 14700 14912 15138 15225 15680 16240 16310 16704 16776 16800 16820 17052 17400 17475 17640 17661 18270 18640 19488 19572 19600 20160 20184 20271 20300 20880 20970 21025 21315 22050 22368 22736 22834 23200 23300 23520 23548 24360 24465 25200 25230 25578 26096 26100 26912 27028 27840 27960 28224 28420 29232 29358 29400 29435 30276 30450 32480 32620 33552 33600 33640 33785 34104 34251 34800 34950 35280 35322 35525 36540 37280 37845 38976 39144 39200 40368 40542 40600 40775 41209 41760 41940 42050 42630 44100 44736 45472 45668 45675 46400 46600 47040 47096 47299 48720 48930 50400 50460 51156 52192 52200 52425 52983 53824 54056 55920 56840 57085 58464 58716 58800 58870 60552 60813 60900 63075 63945 64960 65240 67104 67280 67570 68208 68502 69600 69900 70560 70644 71050 73080 73395 74560 75690 78288 78400 80736 81084 81200 81550 82418 83520 83880 84100 85260 88200 88305 90944 91336 91350 93200 94192 94598 97440 97860 100800 100920 101355 102312 102753 104384 104400 104850 105966 106575 108112 111840 113680 114170 116928 117432 117600 117740 121104 121626 121800 122325 123627 126150 127890 130480 134208 134560 135140 136416 137004 139200 139800 141120 141288 141897 142100 146160 146790 147175 151380 156576 161472 162168 162400 163100 164836 167760 168200 168925 170520 171255 176400 176610 182672 182700 186400 188384 189196 189225 194880 195720 195953 201840 202710 204624 205506 206045 208800 209700 211932 213150 216224 223680 227360 228340 234864 235200 235480 236495 242208 243252 243600 244650 247254 252300 255780 260960 264915 269120 270280 272832 274008 279600 282576 283794 284200 285425 292320 293580 294350 302760 304065 313152 319725 324336 324800 326200 329672 331093 335520 336400 337850 341040 342510 352800 353220 365344 365400 366975 370881 372800 376768 378392 378450 391440 391906 403680 405420 409248 411012 412090 417600 419400 423864 425691 426300 432448 441525 454720 456680 469728 470960 472990 484416 486504 487200 489300 494508 504600 506775 511560 513765 521920 529830 540560 548016 559200 565152 567588 568400 570850 584640 587160 587859 588700 605520 608130 618135 639450 648672 652400 659344 662186 671040 672800 675700 682080 685020 705600 706440 709485 730688 730800 733950 741762 756784 756900 782880 783812 807360 810840 818496 822024 824180 838800 847728 851382 852600 856275 883050 913360 939456 941920 945980 973008 974400 978600 979765 989016 993279 1009200 1013550 1023120 1027530 1030225 1059660 1081120 1096032 1118400 1130304 1135176 1136800 1141700 1174320 1175718 1177400 1182475 1211040 1216260 1236270 1278900 1297344 1304800 1318688 1324372 1324575 1345600 1351400 1364160 1370040 1371671 1412880 1418970 1461600 1467900 1483524 1513568 1513800 1520325 1565760 1567624 1621680 1644048 1648360 1655465 1677600 1695456 1702764 1705200 1712550 1763577 1766100 1826720 1854405 1883840 1891960 1946016 1957200 1959530 1978032 1986558 2018400 2027100 2046240 2055060 2060450 2119320 2128455 2162240 2192064 2270352 2273600 2283400 2348640 2351436 2354800 2364950 2422080 2432520 2472540 2557800 2568825 2609600 2637376 2648744 2649150 2702800 2740080 2743342 2825760 2837940 2923200 2935800 2939295 2967048 2979837 3027136 3027600 3040650 3090675 3135248 3243360 3288096 3296720 3310930 3355200 3390912 3405528 3410400 3425100 3527154 3532200 3547425 3653440 3708810 3783920 3892032 3914400 3919060 3956064 3973116 4036800 4054200 4092480 4110120 4115013 4120900 4238640 4256910 4540704 4566800 4697280 4702872 4709600 4729900 4865040 4898825 4945080 4966395 5115600 5137650 5297488 5298300 5405600 5480160 5486684 5651520 5675880 5871600 5878590 5934096 5959674 6055200 6081300 6181350 6270496 6486720 6576192 6593440 6621860 6811056 6820800 6850200 6858355 7054308 7064400 7094850 7417620 7567840 7828800 7838120 7912128 7946232 8108400 8220240 8230026 8241800 8277325 8477280 8513820 8817885 9081408 9133600 9272025 9405744 9419200 9459800 9601697 9730080 9797650 9890160 9932790 10231200 10275300 10594976 10596600 10642275 10811200 10960320 10973368 11351760 11743200 11757180 11868192 11919348 12110400 12162600 12345039 12362700 12540992 13186880 13243720 13622112 13700400 13716710 14108616 14128800 14189700 14696475 14835240 14899185 15135680 15676240 15892464 16216800 16440480 16460052 16483600 16554650 16954560 17027640 17635770 18267200 18544050 18811488 18919600 19203394 19460160 19595300 19780320 19865580 20462400 20550600 20575065 21189952 21193200 21284550 21946736 22703520 23486400 23514360 23736384 23838696 24325200 24690078 24725400 24831975 26487440 27244224 27400800 27433420 28217232 28257600 28379400 28805091 29392950 29670480 29798370 31352480 31784928 32433600 32880960 32920104 32967200 33109300 34055280 34291775 35271540 37088100 37622976 37839200 38406788 39190600 39560640 39731160 41101200 41150130 42386400 42569100 43893472 44089425 45407040 47028720 47677392 48008485 48650400 49380156 49450800 49663950 52974880 54801600 54866840 56434464 56758800 57610182 58785900 59340960 59596740 61725195 62704960 63569856 65840208 65934400 66218600 68110560 68583550 70543080 74176200 74495925 75678400 76813576 78381200 79462320 82202400 82300260 84772800 85138200 86415273 87786944 88178850 94057440 95354784 96016970 97300800 98760312 98901600 99327900 102875325 105949760 109733680 112868928 113517600 115220364 117571800 118681920 119193480 123450390 131680416 132437200 136221120 137167100 141086160 144025455 148352400 148991850 153627152 156762400 158924640 164404800 164600520 170276400 172830546 176357700 188114880 190709568 192033940 197520624 197803200 198655800 205750650 219467360 227035200 230440728 235143600 238386960 240042425 246900780 263360832 264874400 274334200 282172320 288050910 296704800 297983700 307254304 308625975 313524800 317849280 329201040 340552800 345661092 352715400 384067880 395041248 397311600 411501300 432076365 438934720 460881456 470287200 476773920 480084850 493801560 529748800 548668400 564344640 576101820 593409600 595967400 614508608 617251950 658402080 681105600 691322184 705430800 720127275 768135760 790082496 794623200 823002600 864152730 921762912 940574400 953547840 960169700 987603120 1097336800 1152203640 1191934800 1234503900 1316804160 1382644368 1410861600 1440254550 1536271520 1589246400 1646005200 1728305460 1843525824 1920339400 1975206240 2160381825 2194673600 2304407280 2383869600 2469007800 2765288736 2821723200 2880509100 3072543040 3292010400 3456610920 3840678800 3950412480 4320763650 4608814560 4767739200 4938015600 5530577472 5761018200 6584020800 6913221840 7681357600 8641527300 9217629120 9876031200 11522036400 13826443680 15362715200 17283054600 19752062400 23044072800 27652887360 34566109200 46088145600 69132218400 138264436800
• Sum of all divisors σ(n): 594590047038
• Sum of proper divisors (its aliquot sum) s(n): 456325610238
• 138264436800 is an abundant number, because the sum of its proper divisors (456325610238) is greater than itself. Its abundance is 318061173438

Bases of 138264436800

• Binary: 10000000110001001100111110000001000000₂
• Hexadecimal: 0x203133E040
• Base-36: 1RIN2Q80

Squares and roots of 138264436800

• 138264436800 squared (138264436800²) is 19117054483621194240000
• 138264436800 cubed (138264436800³) is 2643208771452799246137004032000000
• The square root of 138264436800 is 371839.2620474605
• The cube root of 138264436800 is 5170.9479110983

Scales and comparisons

• 138,264,436,800 seconds is equal to 4,396 years, 19 weeks, 5 days, 20 hours.
• To count from 1 to 138,264,436,800 would take you about eight thousand, seven hundred ninety-two 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 138264436800 cubic inches would be around 430.9 feet tall.

Recreational maths with 138264436800

• 138264436800 backwards is 008634462831
• 138264436800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138264436800's digits is 45
• More coming soon!