137930342400

Names of 137930342400

• Cardinal: 137930342400 can be written as One hundred thirty-seven billion, nine hundred thirty million, three hundred forty-two thousand, four hundred.

Scientific notation

• Scientific notation: 1.379303424 × 10¹¹

Factors of 137930342400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 1569

Divisors of 137930342400

• Number of divisors d(n): 432
• 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 90 96 100 108 120 128 135 144 150 160 180 192 200 216 225 240 256 270 288 300 320 360 384 400 432 450 480 512 540 576 600 640 675 720 768 800 864 900 960 1024 1080 1152 1200 1280 1350 1440 1536 1559 1600 1728 1800 1920 2048 2160 2304 2400 2560 2700 2880 3072 3118 3200 3456 3600 3840 4096 4320 4608 4677 4800 5120 5400 5760 6144 6236 6400 6912 7200 7680 7795 8192 8640 9216 9354 9600 10240 10800 11520 12288 12472 12800 13824 14031 14400 15360 15590 16384 17280 18432 18708 19200 20480 21600 23040 23385 24576 24944 25600 27648 28062 28800 30720 31180 32768 34560 36864 37416 38400 38975 40960 42093 43200 46080 46770 49152 49888 51200 55296 56124 57600 61440 62360 65536 69120 70155 73728 74832 76800 77950 81920 84186 86400 92160 93540 98304 99776 102400 110592 112248 115200 116925 122880 124720 131072 138240 140310 147456 149664 153600 155900 163840 168372 172800 184320 187080 196608 199552 204800 210465 221184 224496 230400 233850 245760 249440 276480 280620 294912 299328 307200 311800 327680 336744 345600 350775 368640 374160 393216 399104 409600 420930 442368 448992 460800 467700 491520 498880 552960 561240 589824 598656 614400 623600 655360 673488 691200 701550 737280 748320 798208 819200 841860 884736 897984 921600 935400 983040 997760 1052325 1105920 1122480 1179648 1197312 1228800 1247200 1346976 1382400 1403100 1474560 1496640 1596416 1638400 1683720 1769472 1795968 1843200 1870800 1966080 1995520 2104650 2211840 2244960 2394624 2457600 2494400 2693952 2764800 2806200 2949120 2993280 3192832 3276800 3367440 3538944 3591936 3686400 3741600 3991040 4209300 4423680 4489920 4789248 4915200 4988800 5387904 5529600 5612400 5898240 5986560 6385664 6734880 7183872 7372800 7483200 7982080 8418600 8847360 8979840 9578496 9830400 9977600 10775808 11059200 11224800 11973120 12771328 13469760 14367744 14745600 14966400 15964160 16837200 17694720 17959680 19156992 19955200 21551616 22118400 22449600 23946240 25542656 26939520 28735488 29491200 29932800 31928320 33674400 35919360 38313984 39910400 43103232 44236800 44899200 47892480 51085312 53879040 57470976 59865600 63856640 67348800 71838720 76627968 79820800 86206464 88473600 89798400 95784960 102170624 107758080 114941952 119731200 127713280 134697600 143677440 153255936 159641600 172412928 179596800 191569920 204341248 215516160 229883904 239462400 255426560 269395200 287354880 306511872 319283200 344825856 359193600 383139840 431032320 459767808 478924800 510853120 538790400 574709760 613023744 638566400 689651712 718387200 766279680 862064640 919535616 957849600 1021706240 1077580800 1149419520 1277132800 1379303424 1436774400 1532559360 1724129280 1839071232 1915699200 2155161600 2298839040 2554265600 2758606848 2873548800 3065118720 3448258560 3831398400 4310323200 4597678080 5108531200 5517213696 5747097600 6896517120 7662796800 8620646400 9195356160 11494195200 13793034240 15325593600 17241292800 22988390400 27586068480 34482585600 45976780800 68965171200 137930342400
• Sum of all divisors σ(n): 507089419200
• Sum of proper divisors (its aliquot sum) s(n): 369159076800
• 137930342400 is an abundant number, because the sum of its proper divisors (369159076800) is greater than itself. Its abundance is 231228734400

Bases of 137930342400

• Binary: 10000000011101010010100000000000000000₂
• Hexadecimal: 0x201D4A0000
• Base-36: 1RD45XC0

Squares and roots of 137930342400

• 137930342400 squared (137930342400²) is 19024779354581237760000
• 137930342400 cubed (137930342400³) is 2624094330461841132852609024000000
• The square root of 137930342400 is 371389.7446080061
• The cube root of 137930342400 is 5166.7796228283

Scales and comparisons

• 137,930,342,400 seconds is equal to 4,385 years, 39 weeks, 3 days.
• To count from 1 to 137,930,342,400 would take you about eight thousand, seven 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 137930342400 cubic inches would be around 430.6 feet tall.

Recreational maths with 137930342400

• 137930342400 backwards is 004243039731
• 137930342400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137930342400's digits is 36
• More coming soon!