1948139456400

Names of 1948139456400

• Cardinal: 1948139456400 can be written as One trillion, nine hundred forty-eight billion, one hundred thirty-nine million, four hundred fifty-six thousand, four hundred.

Scientific notation

• Scientific notation: 1.9481394564 × 10¹²

Factors of 1948139456400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 17383

Divisors of 1948139456400

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 36 38 40 45 48 50 54 57 60 61 72 75 76 80 81 90 95 100 108 114 120 122 135 144 150 152 162 171 180 183 190 200 216 225 228 240 243 244 270 285 300 304 305 324 342 360 366 380 400 405 432 450 456 475 486 488 513 540 549 570 600 610 648 675 684 720 732 760 810 855 900 912 915 950 972 976 1026 1080 1098 1140 1159 1200 1215 1220 1296 1350 1368 1425 1464 1520 1525 1539 1620 1647 1710 1800 1830 1900 1944 2025 2052 2160 2196 2280 2318 2430 2440 2565 2700 2736 2745 2850 2928 3050 3078 3240 3294 3420 3477 3600 3660 3800 3888 4050 4104 4275 4392 4560 4575 4617 4636 4860 4880 4941 5130 5400 5490 5700 5795 6075 6100 6156 6480 6588 6840 6954 7320 7600 7695 8100 8208 8235 8550 8784 9150 9234 9272 9720 9882 10260 10431 10800 10980 11400 11590 12150 12200 12312 12825 13176 13680 13725 13908 14640 14823 15390 16200 16470 17100 17293 17385 18300 18468 18544 19440 19764 20520 20862 21960 22800 23085 23180 24300 24400 24624 24705 25650 26352 27450 27816 28975 29646 30780 31293 32400 32940 34200 34586 34770 36600 36936 38475 39528 41040 41175 41724 43920 46170 46360 48600 49410 51300 51879 52155 54900 55632 57950 59292 61560 62586 65880 68400 69172 69540 73200 73872 74115 76950 79056 82350 83448 86465 86925 92340 92720 93879 97200 98820 102600 103758 104310 109800 115425 115900 118584 123120 123525 125172 131760 138344 139080 148230 153900 155637 156465 164700 166896 172930 173850 184680 187758 197640 205200 207516 208620 219600 230850 231800 237168 247050 250344 259395 260775 276688 278160 281637 296460 307800 311274 312930 328567 329400 345860 347700 369360 370575 375516 395280 415032 417240 432325 461700 463600 466911 469395 494100 500688 518790 521550 563274 592920 615600 622548 625860 657134 658800 691720 695400 741150 751032 778185 782325 830064 834480 864650 923400 933822 938790 985701 988200 1037580 1043100 1054873 1126548 1185840 1245096 1251720 1296975 1314268 1383440 1390800 1400733 1408185 1482300 1502064 1556370 1564650 1642835 1729300 1846800 1867644 1877580 1971402 1976400 2075160 2086200 2109746 2253096 2334555 2346975 2490192 2503440 2593950 2628536 2801466 2816370 2957103 2964600 3112740 3129300 3164619 3285670 3458600 3735288 3755160 3890925 3942804 4150320 4172400 4202199 4219492 4506192 4669110 4693950 4928505 5187900 5257072 5274365 5602932 5632740 5914206 5929200 6225480 6258600 6329238 6571340 6917200 7003665 7040925 7470576 7510320 7781850 7885608 8214175 8404398 8438984 8871309 9338220 9387900 9493857 9857010 10375800 10548730 11205864 11265480 11672775 11828412 12450960 12517200 12658476 13142680 14007330 14081850 14785515 15563700 15771216 15823095 16428350 16808796 16877968 17742618 18676440 18775800 18987714 19714020 20042587 20751600 21010995 21097460 22411728 22530960 23345550 23656824 24642525 25316952 26285360 26371825 26613927 28014660 28163700 28481571 29571030 31127400 31646190 32856700 33617592 35018325 35485236 37352880 37551600 37975428 39428040 40085174 42021990 42194920 44356545 46691100 47313648 47469285 49285050 50633904 52743650 53227854 56029320 56327400 56963142 59142060 60127761 62254800 63292380 65713400 67235184 70036650 70970472 73927575 75950856 78856080 79115475 79841781 80170348 84043980 84389840 85444713 88713090 93382200 94938570 98570100 100212935 105054975 105487300 106455708 112058640 112654800 113926284 118284120 120255522 126584760 131426800 133069635 140073300 141940944 142407855 147855150 151901712 158230950 159683562 160340696 168087960 170889426 177426180 180383283 186764400 189877140 197140200 200425870 210109950 210974600 212911416 221782725 227852568 236568240 237346425 240511044 253169520 256334139 266139270 280146600 284815710 295710300 300638805 316461900 319367124 320681392 336175920 341778852 354852360 360766566 379754280 394280400 399208905 400851740 420219900 421949200 425822832 427223565 443565450 455705136 474692850 481022088 501064675 512668278 532278540 541149849 560293200 569631420 591420600 601277610 632923800 638734248 665348175 683557704 709704720 712039275 721533132 759508560 798417810 801703480 840439800 854447130 887130900 901916415 949385700 962044176 1002129350 1025336556 1064557080 1082299698 1139262840 1182841200 1202555220 1265847600 1277468496 1281670695 1330696350 1367115408 1424078550 1443066264 1503194025 1596835620 1603406960 1623449547 1680879600 1708894260 1774261800 1803832830 1898771400 1996044525 2004258700 2050673112 2129114160 2136117825 2164599396 2278525680 2405110440 2563341390 2661392700 2705749245 2848157100 2886132528 3006388050 3193671240 3246899094 3417788520 3548523600 3607665660 3797542800 3992089050 4008517400 4101346224 4272235650 4329198792 4509582075 4810220880 4870348641 5126682780 5322785400 5411498490 5696314200 6012776100 6387342480 6408353475 6493798188 6835577040 7215331320 7984178100 8017034800 8117247735 8544471300 8658397584 9019164150 9740697282 10253365560 10645570800 10822996980 11392628400 12025552200 12816706950 12987596376 13528746225 14430662640 15968356200 16234495470 17088942600 18038328300 19481394564 20506731120 21645993960 24051104400 24351743205 25633413900 25975192752 27057492450 31936712400 32468990940 34177885200 36076656600 38962789128 40586238675 43291987920 48703486410 51266827800 54114984900 64937981880 72153313200 77925578256 81172477350 97406972820 102533655600 108229969800 121758716025 129875963760 162344954700 194813945640 216459939600 243517432050 324689909400 389627891280 487034864100 649379818800 974069728200 1948139456400
• Sum of all divisors σ(n): 7501392866240
• Sum of proper divisors (its aliquot sum) s(n): 5553253409840
• 1948139456400 is an abundant number, because the sum of its proper divisors (5553253409840) is greater than itself. Its abundance is 3605113953440

Bases of 1948139456400

• Binary: 11100010110010110001010010000011110010000₂
• Hexadecimal: 0x1C596290790
• Base-36: OUYNXL00

Squares and roots of 1948139456400

• 1948139456400 squared (1948139456400²) is 3795247341582487500960000
• 1948139456400 cubed (1948139456400³) is 7393671092934052315880008878144000000
• The square root of 1948139456400 is 1395757.6639230753
• The cube root of 1948139456400 is 12489.3551111339

Scales and comparisons

• 1,948,139,456,400 seconds is equal to 61,944 years, 42 weeks, 9 hours.
• To count from 1 to 1,948,139,456,400 would take you about one hundred fifty-four thousand, eight hundred sixty-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 1948139456400 cubic inches would be around 1040.8 feet tall.

Recreational maths with 1948139456400

• 1948139456400 backwards is 0046549318491
• 1948139456400 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 1948139456400's digits is 54
• More coming soon!