137399718400

Names of 137399718400

• Cardinal: 137399718400 can be written as One hundred thirty-seven billion, three hundred ninety-nine million, seven hundred eighteen thousand, four hundred.

Scientific notation

• Scientific notation: 1.373997184 × 10¹¹

Factors of 137399718400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1191

Divisors of 137399718400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 61 64 70 80 92 100 112 115 122 128 140 160 161 175 184 200 224 230 244 256 280 305 320 322 350 368 400 427 448 460 488 512 560 575 610 640 644 700 736 800 805 854 896 920 976 1093 1120 1150 1220 1280 1288 1400 1403 1472 1525 1600 1610 1708 1792 1840 1952 2135 2186 2240 2300 2440 2560 2576 2800 2806 2944 3050 3200 3220 3416 3584 3680 3904 4025 4270 4372 4480 4600 4880 5152 5465 5600 5612 5888 6100 6400 6440 6832 7015 7360 7651 7808 8050 8540 8744 8960 9200 9760 9821 10304 10675 10930 11200 11224 11776 12200 12800 12880 13664 14030 14720 15302 15616 16100 17080 17488 17920 18400 19520 19642 20608 21350 21860 22400 22448 24400 25139 25760 27325 27328 28060 29440 30604 31232 32200 34160 34976 35075 36800 38255 39040 39284 41216 42700 43720 44800 44896 48800 49105 50278 51520 54650 54656 56120 58880 61208 64400 66673 68320 69952 70150 73600 76510 78080 78568 82432 85400 87440 89600 89792 97600 98210 100556 103040 109300 109312 112240 122416 125695 128800 133346 136640 139904 140300 147200 153020 156160 157136 170800 174880 175973 179584 191275 195200 196420 201112 206080 218600 218624 224480 244832 245525 251390 257600 266692 273280 279808 280600 294400 306040 314272 333365 341600 349760 351946 359168 382550 390400 392840 402224 412160 437200 448960 466711 489664 491050 502780 515200 533384 546560 559616 561200 612080 628475 628544 666730 683200 699520 703892 718336 765100 780800 785680 804448 874400 879865 897920 933422 979328 982100 1005560 1030400 1066768 1093120 1122400 1224160 1256950 1257088 1333460 1366400 1399040 1407784 1530200 1533479 1571360 1608896 1666825 1748800 1759730 1795840 1866844 1958656 1964200 2011120 2060800 2133536 2244800 2333555 2448320 2513900 2514176 2666920 2732800 2798080 2815568 3060400 3066958 3142720 3217792 3333650 3497600 3519460 3591680 3733688 3917312 3928400 4022240 4267072 4399325 4489600 4667110 4896640 5027800 5028352 5333840 5465600 5631136 6120800 6133916 6285440 6435584 6667300 6995200 7038920 7467376 7667395 7856800 8044480 8534144 8798650 8979200 9334220 9793280 10055600 10667680 10734353 11262272 11667775 12241600 12267832 12570880 12871168 13334600 13990400 14077840 14934752 15334790 15713600 16088960 17068288 17597300 17958400 18668440 19586560 20111200 21335360 21468706 22524544 23335550 24483200 24535664 25141760 26669200 28155680 29869504 30669580 31427200 32177920 34136576 35194600 37336880 38336975 40222400 42670720 42937412 45049088 46671100 48966400 49071328 53338400 53671765 56311360 59739008 61339160 62854400 64355840 70389200 74673760 76673950 80444800 85341440 85874824 90098176 93342200 97932800 98142656 106676800 107343530 112622720 119478016 122678320 125708800 140778400 149347520 153347900 160889600 170682880 171749648 186684400 196285312 213353600 214687060 225245440 238956032 245356640 268358825 281556800 298695040 306695800 321779200 343499296 373368800 392570624 426707200 429374120 450490880 490713280 536717650 563113600 597390080 613391600 686998592 746737600 785141248 853414400 858748240 981426560 1073435300 1126227200 1194780160 1226783200 1373997184 1493475200 1717496480 1962853120 2146870600 2252454400 2453566400 2747994368 2986950400 3434992960 3925706240 4293741200 4907132800 5495988736 5973900800 6869985920 8587482400 9814265600 13739971840 17174964800 19628531200 27479943680 34349929600 68699859200 137399718400
• Sum of all divisors σ(n): 412997637888
• Sum of proper divisors (its aliquot sum) s(n): 275597919488
• 137399718400 is an abundant number, because the sum of its proper divisors (275597919488) is greater than itself. Its abundance is 138198201088

Bases of 137399718400

• Binary: 1111111111101101010010101001000000000₂
• Hexadecimal: 0x1FFDA95200
• Base-36: 1R4C8T8G

Squares and roots of 137399718400

• 137399718400 squared (137399718400²) is 18878682616399298560000
• 137399718400 cubed (137399718400³) is 2593925675256238844101525504000000
• The square root of 137399718400 is 370674.6800093041
• The cube root of 137399718400 is 5160.1454999735

Scales and comparisons

• 137,399,718,400 seconds is equal to 4,368 years, 46 weeks, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 137,399,718,400 would take you about eight thousand, seven 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 137399718400 cubic inches would be around 430 feet tall.

Recreational maths with 137399718400

• 137399718400 backwards is 004817993731
• The number of decimal digits it has is: 12
• The sum of 137399718400's digits is 52
• More coming soon!