138972672000

Names of 138972672000

• Cardinal: 138972672000 can be written as One hundred thirty-eight billion, nine hundred seventy-two million, six hundred seventy-two thousand.

Scientific notation

• Scientific notation: 1.38972672 × 10¹¹

Factors of 138972672000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 1127

Divisors of 138972672000

• Number of divisors d(n): 624
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 243 250 256 270 288 300 320 324 360 375 384 400 405 432 450 480 486 500 512 540 576 600 640 648 675 720 750 768 800 810 864 900 960 972 1000 1024 1080 1117 1125 1152 1200 1215 1280 1296 1350 1440 1500 1536 1600 1620 1728 1800 1920 1944 2000 2025 2048 2160 2234 2250 2304 2400 2430 2560 2592 2700 2880 3000 3072 3200 3240 3351 3375 3456 3600 3840 3888 4000 4050 4096 4320 4468 4500 4608 4800 4860 5120 5184 5400 5585 5760 6000 6075 6144 6400 6480 6702 6750 6912 7200 7680 7776 8000 8100 8640 8936 9000 9216 9600 9720 10053 10125 10240 10368 10800 11170 11520 12000 12150 12288 12800 12960 13404 13500 13824 14400 15360 15552 16000 16200 16755 17280 17872 18000 18432 19200 19440 20106 20250 20480 20736 21600 22340 23040 24000 24300 25600 25920 26808 27000 27648 27925 28800 30159 30375 30720 31104 32000 32400 33510 34560 35744 36000 36864 38400 38880 40212 40500 41472 43200 44680 46080 48000 48600 50265 51200 51840 53616 54000 55296 55850 57600 60318 60750 61440 62208 64000 64800 67020 69120 71488 72000 76800 77760 80424 81000 82944 83775 86400 89360 90477 92160 96000 97200 100530 102400 103680 107232 108000 110592 111700 115200 120636 121500 124416 128000 129600 134040 138240 139625 142976 144000 150795 153600 155520 160848 162000 165888 167550 172800 178720 180954 184320 192000 194400 201060 207360 214464 216000 223400 230400 241272 243000 248832 251325 256000 259200 268080 271431 276480 279250 285952 288000 301590 307200 311040 321696 324000 331776 335100 345600 357440 361908 384000 388800 402120 414720 418875 428928 432000 446800 452385 460800 482544 486000 497664 502650 512000 518400 536160 542862 552960 558500 571904 576000 603180 622080 643392 648000 670200 691200 714880 723816 753975 768000 777600 804240 829440 837750 857856 864000 893600 904770 921600 965088 972000 995328 1005300 1036800 1072320 1085724 1117000 1143808 1152000 1206360 1244160 1256625 1286784 1296000 1340400 1357155 1382400 1429760 1447632 1507950 1536000 1555200 1608480 1658880 1675500 1715712 1728000 1787200 1809540 1930176 1944000 2010600 2073600 2144640 2171448 2234000 2261925 2287616 2304000 2412720 2488320 2513250 2573568 2592000 2680800 2714310 2764800 2859520 2895264 3015900 3110400 3216960 3351000 3431424 3456000 3574400 3619080 3769875 3860352 3888000 4021200 4147200 4289280 4342896 4468000 4523850 4575232 4608000 4825440 4976640 5026500 5147136 5184000 5361600 5428620 5719040 5790528 6031800 6220800 6433920 6702000 6785775 6862848 6912000 7148800 7238160 7539750 7720704 7776000 8042400 8294400 8578560 8685792 8936000 9047700 9650880 10053000 10294272 10368000 10723200 10857240 11309625 11438080 11581056 12063600 12441600 12867840 13404000 13571550 13725696 13824000 14297600 14476320 15079500 15441408 15552000 16084800 17157120 17371584 17872000 18095400 19301760 20106000 20588544 20736000 21446400 21714480 22619250 22876160 23162112 24127200 24883200 25735680 26808000 27143100 28595200 28952640 30159000 30882816 31104000 32169600 33928875 34314240 34743168 35744000 36190800 38603520 40212000 41177088 41472000 42892800 43428960 45238500 46324224 48254400 51471360 53616000 54286200 57190400 57905280 60318000 61765632 62208000 64339200 67857750 68628480 69486336 71488000 72381600 77207040 80424000 85785600 86857920 90477000 92648448 96508800 102942720 107232000 108572400 114380800 115810560 120636000 123531264 124416000 128678400 135715500 138972672 142976000 144763200 154414080 160848000 171571200 173715840 180954000 185296896 193017600 205885440 214464000 217144800 231621120 241272000 257356800 271431000 277945344 285952000 289526400 308828160 321696000 343142400 347431680 361908000 370593792 386035200 428928000 434289600 463242240 482544000 514713600 542862000 555890688 571904000 579052800 617656320 643392000 694863360 723816000 772070400 857856000 868579200 926484480 965088000 1029427200 1085724000 1111781376 1158105600 1286784000 1389726720 1447632000 1544140800 1715712000 1737158400 1852968960 1930176000 2171448000 2316211200 2573568000 2779453440 2895264000 3088281600 3474316800 3860352000 4342896000 4632422400 5147136000 5558906880 5790528000 6948633600 7720704000 8685792000 9264844800 11581056000 13897267200 15441408000 17371584000 23162112000 27794534400 34743168000 46324224000 69486336000 138972672000
• Sum of all divisors σ(n): 520001637792
• Sum of proper divisors (its aliquot sum) s(n): 381028965792
• 138972672000 is an abundant number, because the sum of its proper divisors (381028965792) is greater than itself. Its abundance is 242056293792

Bases of 138972672000

• Binary: 10000001011011011010101011000000000000₂
• Hexadecimal: 0x205B6AB000
• Base-36: 1RUCQO00

Squares and roots of 138972672000

• 138972672000 squared (138972672000²) is 19313403562819584000000
• 138972672000 cubed (138972672000³) is 2684035298539357442408448000000000
• The square root of 138972672000 is 372790.3861421321
• The cube root of 138972672000 is 5179.7619683607

Scales and comparisons

• 138,972,672,000 seconds is equal to 4,418 years, 46 weeks, 6 days.
• To count from 1 to 138,972,672,000 would take you about eight thousand, eight hundred thirty-seven 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 138972672000 cubic inches would be around 431.6 feet tall.

Recreational maths with 138972672000

• 138972672000 backwards is 000276279831
• 138972672000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138972672000's digits is 45
• More coming soon!