135040329670400

Names of 135040329670400

• Cardinal: 135040329670400 can be written as One hundred thirty-five trillion, forty billion, three hundred twenty-nine million, six hundred seventy thousand, four hundred.

Scientific notation

• Scientific notation: 1.350403296704 × 10¹⁴

Factors of 135040329670400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2264708

Divisors of 135040329670400

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 64 70 77 80 88 100 110 112 121 128 140 154 160 175 176 200 220 224 242 256 275 280 308 320 350 352 385 400 440 448 484 550 560 605 616 640 700 704 770 800 847 880 896 968 1100 1120 1210 1232 1280 1331 1400 1408 1540 1600 1694 1760 1792 1925 1936 2200 2240 2420 2464 2662 2800 2816 3025 3080 3200 3388 3520 3850 3872 4235 4400 4480 4840 4928 5324 5600 6050 6160 6400 6655 6776 7040 7700 7744 8470 8800 8960 9317 9680 9856 10648 11200 12100 12320 13310 13552 14080 15400 15488 16940 17600 18634 19360 19712 21175 21296 22400 24200 24640 26620 27104 30800 30976 33275 33880 35200 37268 38720 42350 42592 44800 46585 48400 49280 53240 54208 61600 66550 67760 70400 74536 77440 84700 85184 93170 96800 98560 106480 108416 123200 133100 135520 149072 154880 169400 170368 186340 193600 212960 216832 232925 246400 266200 271040 298144 338800 340736 372680 387200 425920 465850 492800 532400 542080 596288 677600 745360 774400 851840 931700 1064800 1084160 1192576 1355200 1490720 1703680 1863400 2129600 2264683 2385152 2710400 2981440 3726800 4259200 4529366 5420800 5962880 7453600 8518400 9058732 11323415 11925760 14907200 15852781 18117464 22646830 24911513 29814400 31705562 36234928 45293660 49823026 56617075 59628800 63411124 72469856 79263905 90587320 99646052 113234150 124557565 126822248 144939712 158527810 174380591 181174640 199292104 226468300 249115130 253644496 274026643 289879424 317055620 348761182 362349280 396319525 398584208 452936600 498230260 507288992 548053286 579758848 622787825 634111240 697522364 724698560 792639050 797168416 871902955 905873200 996460520 1014577984 1096106572 1245575650 1268222480 1370133215 1395044728 1449397120 1585278100 1594336832 1743805910 1811746400 1918186501 1992921040 2029155968 2192213144 2491151300 2536444960 2740266430 2790089456 2898794240 3014293073 3170556200 3188673664 3487611820 3623492800 3836373002 3985842080 4058311936 4359514775 4384426288 4982302600 5072889920 5480532860 5580178912 6028586146 6341112400 6377347328 6850666075 6975223640 7246985600 7672746004 7971684160 8719029550 8768852576 9590932505 9964605200 10145779840 10961065720 11160357824 12057172292 12682224800 13701332150 13950447280 14493971200 15071465365 15345492008 15943368320 17438059100 17537705152 19181865010 19929210400 20291559680 21100051511 21922131440 22320715648 24114344584 25364449600 27402664300 27900894560 30142930730 30690984016 31886736640 34876118200 35075410304 38363730020 39858420800 42200103022 43844262880 44641431296 47954662525 48228689168 50728899200 54805328600 55801789120 60285861460 61381968032 69752236400 70150820608 75357326825 76727460040 79716841600 84400206044 87688525760 95909325050 96457378336 101457798400 105500257555 109610657200 111603578240 120571722920 122763936064 139504472800 150714653650 153454920080 159433683200 168800412088 175377051520 191818650100 192914756672 211000515110 219221314400 223207156480 241143445840 245527872128 279008945600 301429307300 306909840160 337600824176 350754103040 383637300200 385829513344 422001030220 438442628800 482286891680 491055744256 527501287775 558017891200 602858614600 613819680320 675201648352 767274600400 771659026688 844002060440 876885257600 964573783360 1055002575550 1116035782400 1205717229200 1227639360640 1350403296704 1534549200800 1688004120880 1753770515200 1929147566720 2110005151100 2411434458400 2455278721280 2700806593408 3069098401600 3376008241760 3858295133440 4220010302200 4822868916800 5401613186816 6138196803200 6752016483520 8440020604400 9645737833600 12276393606400 13504032967040 16880041208800 19291475667200 27008065934080 33760082417600 67520164835200 135040329670400
• Sum of all divisors σ(n): 420166351465728
• Sum of proper divisors (its aliquot sum) s(n): 285126021795328
• 135040329670400 is an abundant number, because the sum of its proper divisors (285126021795328) is greater than itself. Its abundance is 150085692124928

Bases of 135040329670400

• Binary: 11110101101000110000110111000010101111100000000₂
• Hexadecimal: 0x7AD186E15F00
• Base-36: 1BV8O5NBI8

Squares and roots of 135040329670400

• 135040329670400 squared (135040329670400²) is 18235890637490314572636160000
• 135040329670400 cubed (135040329670400³) is 2462580683520052897575788333191921664000000
• The square root of 135040329670400 is 11620685.4217124387
• The cube root of 135040329670400 is 51304.3862447593

Scales and comparisons

• 135,040,329,670,400 seconds is equal to 4,293,864 years, 40 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
• To count from 1 to 135,040,329,670,400 would take you about ten million, seven hundred thirty-four thousand, six hundred sixty-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 135040329670400 cubic inches would be around 4275.4 feet tall.

Recreational maths with 135040329670400

• 135040329670400 backwards is 004076923040531
• 135040329670400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135040329670400's digits is 44
• More coming soon!