137742146049600

Names of 137742146049600

• Cardinal: 137742146049600 can be written as One hundred thirty-seven trillion, seven hundred forty-two billion, one hundred forty-six million, forty-nine thousand, six hundred.

Scientific notation

• Scientific notation: 1.377421460496 × 10¹⁴

Factors of 137742146049600

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 10877

Divisors of 137742146049600

• Number of divisors d(n): 441
• 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 96 100 108 120 135 144 150 160 162 180 192 200 216 225 240 243 270 288 300 320 324 360 400 405 432 450 480 486 540 576 600 648 675 720 729 800 810 864 900 960 972 1080 1200 1215 1296 1350 1440 1458 1600 1620 1728 1800 1944 2025 2160 2400 2430 2592 2700 2880 2916 3240 3600 3645 3888 4050 4320 4800 4860 5184 5400 5832 6075 6480 7200 7290 7776 8100 8640 9720 10800 10867 11664 12150 12960 14400 14580 15552 16200 18225 19440 21600 21734 23328 24300 25920 29160 32400 32601 36450 38880 43200 43468 46656 48600 54335 58320 64800 65202 72900 77760 86936 97200 97803 108670 116640 129600 130404 145800 163005 173872 194400 195606 217340 233280 260808 271675 291600 293409 326010 347744 388800 391212 434680 489015 521616 543350 583200 586818 652020 695488 782424 815025 869360 880227 978030 1043232 1086700 1166400 1173636 1304040 1467045 1564848 1630050 1738720 1760454 1956060 2086464 2173400 2347272 2445075 2608080 2640681 2934090 3129696 3260100 3477440 3520908 3912120 4346800 4401135 4694544 4890150 5216160 5281362 5868180 6259392 6520200 7041816 7335225 7824240 7922043 8693600 8802270 9389088 9780300 10432320 10562724 11736360 13040400 13203405 14083632 14670450 15648480 15844086 17387200 17604540 18778176 19560600 21125448 22005675 23472720 26080800 26406810 28167264 29340900 31296960 31688172 35209080 39121200 39610215 42250896 44011350 46945440 52161600 52813620 56334528 58681800 63376344 66017025 70418160 78242400 79220430 84501792 88022700 93890880 105627240 117363600 118091689 126752688 132034050 140836320 156484800 158440860 169003584 176045400 198051075 211254480 234727200 236183378 253505376 264068100 281672640 316881720 352090800 354275067 396102150 422508960 469454400 472366756 507010752 528136200 590458445 633763440 704181600 708550134 792204300 845017920 944733512 1056272400 1062825201 1180916890 1267526880 1408363200 1417100268 1584408600 1771375335 1889467024 2112544800 2125650402 2361833780 2535053760 2834200536 2952292225 3168817200 3188475603 3542750670 3778934048 4225089600 4251300804 4723667560 5314126005 5668401072 5904584450 6337634400 6376951206 7085501340 7557868096 8502601608 8856876675 9447335120 9565426809 10628252010 11336802144 11809168900 12675268800 12753902412 14171002680 15942378015 17005203216 17713753350 18894670240 19130853618 21256504020 22673604288 23618337800 25507804824 26570630025 28342005360 28696280427 31884756030 34010406432 35427506700 37789340480 38261707236 42513008040 47236675600 47827134045 51015609648 53141260050 56684010720 57392560854 63769512060 68020812864 70855013400 76523414472 79711890075 85026016080 86088841281 94473351200 95654268090 102031219296 106282520100 113368021440 114785121708 127539024120 141710026800 143481402135 153046828944 159423780150 170052032160 172177682562 188946702400 191308536180 204062438592 212565040200 229570243416 239135670225 255078048240 283420053600 286962804270 306093657888 318847560300 340104064320 344355365124 382617072360 425130080400 430444206405 459140486832 478271340450 510156096480 566840107200 573925608540 612187315776 637695120600 688710730248 717407010675 765234144720 850260160800 860888412810 918280973664 956542680900 1020312192960 1147851217080 1275390241200 1377421460496 1434814021350 1530468289440 1700520321600 1721776825620 1836561947328 1913085361800 2152221032025 2295702434160 2550780482400 2754842920992 2869628042700 3060936578880 3443553651240 3826170723600 4304442064050 4591404868320 5101560964800 5509685841984 5739256085400 6887107302480 7652341447200 8608884128100 9182809736640 11478512170800 13774214604960 15304682894400 17217768256200 22957024341600 27548429209920 34435536512400 45914048683200 68871073024800 137742146049600
• Sum of all divisors σ(n): 508211955231537
• Sum of proper divisors (its aliquot sum) s(n): 370469809181937
• 137742146049600 is an abundant number, because the sum of its proper divisors (370469809181937) is greater than itself. Its abundance is 232727663132337

Bases of 137742146049600

• Binary: 11111010100011010010111101011111001011001000000₂
• Hexadecimal: 0x7D4697AF9640
• Base-36: 1CTPV9D000

Squares and roots of 137742146049600

• 137742146049600 squared (137742146049600²) is 18972898798349336885660160000
• 137742146049600 cubed (137742146049600³) is 2613367797266514700705914174632103936000000
• 137742146049600 is a perfect square number. Its square root is 11736360
• The cube root of 137742146049600 is 51644.2864955129

Scales and comparisons

• 137,742,146,049,600 seconds is equal to 4,379,774 years, 9 weeks, 2 days, 12 hours.
• To count from 1 to 137,742,146,049,600 would take you about ten million, nine hundred forty-nine thousand, four hundred thirty-five 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 137742146049600 cubic inches would be around 4303.7 feet tall.

Recreational maths with 137742146049600

• 137742146049600 backwards is 006940641247731
• 137742146049600 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137742146049600's digits is 54
• More coming soon!