138725457920

Names of 138725457920

• Cardinal: 138725457920 can be written as One hundred thirty-eight billion, seven hundred twenty-five million, four hundred fifty-seven thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3872545792 × 10¹¹

Factors of 138725457920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 183

Divisors of 138725457920

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 43 56 58 64 70 80 86 97 112 116 128 140 145 160 172 194 203 215 224 232 256 280 290 301 320 344 388 406 430 448 464 485 512 560 580 602 640 679 688 776 812 860 896 928 970 1015 1024 1120 1160 1204 1247 1280 1358 1376 1505 1552 1624 1720 1792 1856 1940 2030 2048 2240 2320 2408 2494 2560 2716 2752 2813 3010 3104 3248 3395 3440 3584 3712 3880 4060 4096 4171 4480 4640 4816 4988 5120 5432 5504 5626 6020 6208 6235 6496 6790 6880 7168 7424 7760 8120 8192 8342 8729 8960 9280 9632 9976 10240 10864 11008 11252 12040 12416 12470 12992 13580 13760 14065 14336 14848 15520 16240 16384 16684 17458 17920 18560 19264 19691 19952 20480 20855 21728 22016 22504 24080 24832 24940 25984 27160 27520 28130 28672 29197 29696 31040 32480 32768 33368 34916 35840 37120 38528 39382 39904 40960 41710 43456 43645 44032 45008 48160 49664 49880 51968 54320 55040 56260 57344 58394 59392 62080 64960 66736 69832 71680 74240 77056 78764 79808 81920 83420 86912 87290 88064 90016 96320 98455 99328 99760 103936 108640 110080 112520 114688 116788 118784 120959 124160 129920 133472 139664 143360 145985 148480 154112 157528 159616 163840 166840 173824 174580 176128 180032 192640 196910 198656 199520 207872 217280 220160 225040 229376 233576 237568 241918 248320 259840 266944 279328 286720 291970 296960 308224 315056 319232 333680 347648 349160 352256 360064 385280 393820 397312 399040 415744 434560 440320 450080 467152 475136 483836 496640 519680 533888 558656 573440 583940 593920 604795 616448 630112 638464 667360 695296 698320 704512 720128 770560 787640 794624 798080 831488 846713 869120 880640 900160 934304 950272 967672 993280 1039360 1067776 1117312 1146880 1167880 1187840 1209590 1232896 1260224 1276928 1334720 1390592 1396640 1409024 1440256 1541120 1575280 1589248 1596160 1662976 1693426 1738240 1761280 1800320 1868608 1935344 1986560 2078720 2135552 2234624 2335760 2375680 2419180 2465792 2520448 2553856 2669440 2781184 2793280 2880512 3082240 3150560 3178496 3192320 3325952 3386852 3476480 3522560 3600640 3737216 3870688 3973120 4157440 4233565 4271104 4469248 4671520 4751360 4838360 4931584 5040896 5107712 5338880 5562368 5586560 5761024 6164480 6301120 6384640 6651904 6773704 6952960 7045120 7201280 7474432 7741376 7946240 8314880 8467130 8542208 8938496 9343040 9676720 9863168 10081792 10215424 10677760 11124736 11173120 11522048 12328960 12602240 12769280 13547408 13905920 14402560 14948864 15482752 15892480 16629760 16934260 17084416 17876992 18686080 19353440 20163584 20430848 21355520 22249472 22346240 23044096 24657920 25204480 25538560 27094816 27811840 28805120 29897728 30965504 33259520 33868520 34168832 35753984 37372160 38706880 40327168 40861696 42711040 44692480 46088192 49315840 50408960 51077120 54189632 55623680 57610240 59795456 61931008 67737040 68337664 71507968 74744320 77413760 80654336 85422080 89384960 92176384 100817920 102154240 108379264 111247360 115220480 119590912 123862016 135474080 136675328 143015936 149488640 154827520 161308672 170844160 178769920 201635840 204308480 216758528 230440960 239181824 247724032 270948160 286031872 298977280 309655040 322617344 341688320 357539840 403271680 433517056 460881920 478363648 495448064 541896320 597954560 619310080 645234688 683376640 715079680 806543360 867034112 956727296 990896128 1083792640 1195909120 1238620160 1430159360 1613086720 1734068224 1981792256 2167585280 2391818240 2477240320 3226173440 3468136448 3963584512 4335170560 4783636480 4954480640 6936272896 8670341120 9908961280 13872545792 17340682240 19817922560 27745091584 34681364480 69362728960 138725457920
• Sum of all divisors σ(n): 406925164800
• Sum of proper divisors (its aliquot sum) s(n): 268199706880
• 138725457920 is an abundant number, because the sum of its proper divisors (268199706880) is greater than itself. Its abundance is 129474248960

Bases of 138725457920

• Binary: 10000001001100101011101000000000000000₂
• Hexadecimal: 0x204CAE8000
• Base-36: 1RQ9K0E8

Squares and roots of 138725457920

• 138725457920 squared (138725457920²) is 19244752675113690726400
• 138725457920 cubed (138725457920³) is 2669737127412291734081097433088000
• The square root of 138725457920 is 372458.6660557115
• The cube root of 138725457920 is 5176.6887739245

Scales and comparisons

• 138,725,457,920 seconds is equal to 4,411 years, 2 weeks, 17 hours, 25 minutes, 20 seconds.
• To count from 1 to 138,725,457,920 would take you about eight thousand, eight hundred twenty-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 138725457920 cubic inches would be around 431.4 feet tall.

Recreational maths with 138725457920

• 138725457920 backwards is 029754527831
• The number of decimal digits it has is: 12
• The sum of 138725457920's digits is 53
• More coming soon!