138678310400

Names of 138678310400

• Cardinal: 138678310400 can be written as One hundred thirty-eight billion, six hundred seventy-eight million, three hundred ten thousand, four hundred.

Scientific notation

• Scientific notation: 1.386783104 × 10¹¹

Factors of 138678310400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1882

Divisors of 138678310400

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 127 128 140 160 175 196 200 224 245 254 256 280 320 350 392 400 448 490 508 512 560 635 640 700 784 800 889 896 980 1016 1120 1225 1270 1280 1400 1568 1600 1741 1778 1792 1960 2032 2240 2450 2540 2560 2800 3136 3175 3200 3482 3556 3584 3920 4064 4445 4480 4900 5080 5600 6223 6272 6350 6400 6964 7112 7840 8128 8705 8890 8960 9800 10160 11200 12187 12446 12544 12700 12800 13928 14224 15680 16256 17410 17780 17920 19600 20320 22225 22400 24374 24892 25088 25400 27856 28448 31115 31360 32512 34820 35560 39200 40640 43525 44450 44800 48748 49784 50800 55712 56896 60935 62230 62720 65024 69640 71120 78400 81280 85309 87050 88900 89600 97496 99568 101600 111424 113792 121870 124460 125440 139280 142240 155575 156800 162560 170618 174100 177800 194992 199136 203200 221107 222848 227584 243740 248920 278560 284480 304675 311150 313600 325120 341236 348200 355600 389984 398272 406400 426545 442214 445696 455168 487480 497840 557120 568960 609350 622300 627200 682472 696400 711200 779968 796544 812800 853090 884428 891392 974960 995680 1105535 1114240 1137920 1218700 1244600 1364944 1392800 1422400 1547749 1559936 1593088 1625600 1706180 1768856 1949920 1991360 2132725 2211070 2228480 2275840 2437400 2489200 2729888 2785600 2844800 3095498 3119872 3186176 3412360 3537712 3899840 3982720 4265450 4422140 4456960 4874800 4978400 5459776 5527675 5571200 5689600 6190996 6239744 6824720 7075424 7738745 7799680 7965440 8530900 8844280 9749600 9956800 10834243 10919552 11055350 11142400 11379200 12381992 13649440 14150848 15477490 15599360 15930880 17061800 17688560 19499200 19913600 21668486 21839104 22110700 22284800 24763984 27298880 28301696 30954980 31198720 34123600 35377120 38693725 38998400 39827200 43336972 43678208 44221400 49527968 54171215 54597760 56603392 61909960 68247200 70754240 77387450 77996800 79654400 86673944 88442800 99055936 108342430 109195520 113206784 123819920 136494400 141508480 154774900 155993600 173347888 176885600 198111872 216684860 218391040 247639840 270856075 272988800 283016960 309549800 346695776 353771200 396223744 433369720 495279680 541712150 545977600 566033920 619099600 693391552 707542400 792447488 866739440 990559360 1083424300 1091955200 1238199200 1386783104 1415084800 1733478880 1981118720 2166848600 2476398400 2773566208 2830169600 3466957760 3962237440 4333697200 4952796800 5547132416 6933915520 8667394400 9905593600 13867831040 17334788800 19811187200 27735662080 34669577600 69339155200 138678310400
• Sum of all divisors σ(n): 403060559616
• Sum of proper divisors (its aliquot sum) s(n): 264382249216
• 138678310400 is an abundant number, because the sum of its proper divisors (264382249216) is greater than itself. Its abundance is 125703938816

Bases of 138678310400

• Binary: 10000001001001110111110001011000000000₂
• Hexadecimal: 0x2049DF1600
• Base-36: 1RPHHH4W

Squares and roots of 138678310400

• 138678310400 squared (138678310400²) is 19231673775398748160000
• 138678310400 cubed (138678310400³) is 2667016025336287481103908864000000
• The square root of 138678310400 is 372395.3683922505
• The cube root of 138678310400 is 5176.1022541027

Scales and comparisons

• 138,678,310,400 seconds is equal to 4,409 years, 28 weeks, 1 day, 53 minutes, 20 seconds.
• To count from 1 to 138,678,310,400 would take you about eight thousand, eight hundred nineteen 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 138678310400 cubic inches would be around 431.3 feet tall.

Recreational maths with 138678310400

• 138678310400 backwards is 004013876831
• The number of decimal digits it has is: 12
• The sum of 138678310400's digits is 41
• More coming soon!