38198834816708700

Names of 38198834816708700

• Cardinal: 38198834816708700 can be written as Thirty-eight quadrillion, one hundred ninety-eight trillion, eight hundred thirty-four billion, eight hundred sixteen million, seven hundred eight thousand, seven hundred.

Scientific notation

• Scientific notation: 3.81988348167087 × 10¹⁶

Factors of 38198834816708700

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 226432723

Divisors of 38198834816708700

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 59 60 75 81 90 100 108 118 135 150 162 177 180 225 236 270 295 300 324 353 354 405 450 531 540 590 675 706 708 810 885 900 1059 1062 1180 1350 1412 1475 1593 1620 1765 1770 2025 2118 2124 2655 2700 2950 3177 3186 3530 3540 4050 4236 4425 4779 5295 5310 5900 6354 6372 7060 7965 8100 8825 8850 9531 9558 10590 10620 12708 13275 15885 15930 17650 17700 19062 19116 20827 21180 23895 26475 26550 28593 31770 31860 35300 38124 39825 41654 47655 47790 52950 53100 57186 62481 63540 79425 79650 83308 95310 95580 104135 105900 114372 119475 124962 142965 158850 159300 187443 190620 208270 238275 238950 249924 285930 312405 317700 374886 416540 476550 477900 520675 562329 571860 624810 714825 749772 937215 953100 1041350 1124658 1249620 1429650 1562025 1686987 1874430 2082700 2249316 2811645 2859300 3124050 3373974 3748860 4686075 5623290 6248100 6747948 8434935 9372150 11246580 14058225 16869870 18744300 28116450 33739740 42174675 56232900 84349350 168698700 226432301 452864602 679296903 905729204 1132161505 1358593806 2037890709 2264323010 2717187612 3396484515 4075781418 4528646020 5660807525 6113672127 6792969030 8151562836 10189453545 11321615050 12227344254 13359505759 13585938060 16982422575 18341016381 20378907090 22643230100 24454688508 26719011518 30568360635 33964845150 36682032762 40078517277 40757814180 50947267725 53438023036 61136721270 66797528795 67929690300 73364065524 79930602253 80157034554 91705081905 101894535450 120235551831 122273442540 133595057590 152841803175 159861204506 160314069108 183410163810 200392586385 203789070900 239791806759 240471103662 267190115180 305683606350 319722409012 333987643975 360706655493 366820327620 399653011265 400785172770 458525409525 479583613518 480942207324 601177759155 611367212700 667975287950 719375420277 721413310986 799306022530 801570345540 917050819050 959167227036 1001962931925 1082119966479 1198959033795 1202355518310 1335950575900 1438750840554 1442826621972 1598612045060 1803533277465 1834101638100 1998265056325 2003925863850 2158126260831 2164239932958 2397918067590 2404711036620 2877501681108 3005888795775 3596877101385 3607066554930 3996530112650 4007851727700 4316252521662 4328479865916 4715905532927 4795836135180 5410599832395 5994795168975 6011777591550 6474378782493 7193754202770 7214133109860 7993060225300 8632505043324 9017666387325 9431811065854 10790631304155 10821199664790 11989590337950 12023555183100 12948757564986 14147716598781 14387508405540 17984385506925 18035332774650 18863622131708 21581262608310 21642399329580 23579527664635 23979180675900 25897515129972 27052999161975 28295433197562 32371893912465 35968771013850 36070665549300 42443149796343 43162525216620 47159055329270 53953156520775 54105998323950 56590866395124 64743787824930 70738582993905 71937542027700 84886299592686 94318110658540 107906313041550 108211996647900 117897638323175 127329449389029 129487575649860 141477165987810 161859469562325 169772599185372 212215748981715 215812626083100 235795276646350 254658898778058 282954331975620 323718939124650 353692914969525 381988348167087 424431497963430 471590553292700 509317797556116 636647246945145 647437878249300 707385829939050 763976696334174 848862995926860 1061078744908575 1273294493890290 1414771659878100 1527953392668348 1909941740835435 2122157489817150 2546588987780580 3183236234725725 3819883481670870 4244314979634300 6366472469451450 7639766963341740 9549708704177175 12732944938902900 19099417408354350 38198834816708700
• Sum of all divisors σ(n): 126280995934761360
• Sum of proper divisors (its aliquot sum) s(n): 88082161118052660
• 38198834816708700 is an abundant number, because the sum of its proper divisors (88082161118052660) is greater than itself. Its abundance is 49883326301343960

Bases of 38198834816708700

• Binary: 10000111101101011010001101001100000101010111000001011100₂
• Hexadecimal: 0x87B5A34C15705C
• Base-36: AG4CUGH6HR0

Squares and roots of 38198834816708700

• 38198834816708700 squared (38198834816708700²) is 1459150981354196782324700655690000
• 38198834816708700 cubed (38198834816708700³) is 55737867309387359176865668082982715857727503000000
• The square root of 38198834816708700 is 195445222.0360188289
• The cube root of 38198834816708700 is 336782.9048954759

Scales and comparisons

• 38,198,834,816,708,700 seconds is equal to 1,214,604,790 years, 21 weeks, 4 days, 21 hours, 45 minutes.
• To count from 1 to 38,198,834,816,708,700 would take you about three billion, six hundred forty-three million, eight hundred fourteen thousand, three hundred seventy-one 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 38198834816708700 cubic inches would be around 28065.2 feet tall.

Recreational maths with 38198834816708700

• 38198834816708700 backwards is 00780761843889183
• 38198834816708700 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 38198834816708700's digits is 81
• More coming soon!