513540920475668286838

Names of 513540920475668286838

• Cardinal: 513540920475668286838 can be written as Five hundred thirteen quintillion, five hundred forty quadrillion, nine hundred twenty trillion, four hundred seventy-five billion, six hundred sixty-eight million, two hundred eighty-six thousand, eight hundred thirty-eight.

Scientific notation

• Scientific notation: 5.13540920475668286838 × 10²⁰

Factors of 513540920475668286838

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 441

Divisors of 513540920475668286838

• Number of divisors d(n): 252
• Complete list of divisors:
  1 2 7 13 14 26 49 91 98 169 182 338 343 419 637 686 838 1183 1274 2366 2401 2933 4459 4802 5447 5866 8281 8918 10894 16562 16807 20531 31213 33614 38129 41062 57967 62426 70811 76258 115934 117649 141622 143717 175561 218491 235298 266903 287434 351122 405769 436982 495677 533806 811538 991354 1006019 1228927 1529437 1868321 2012038 2282293 2457854 2840383 3058874 3469739 3736642 4564586 5680766 6939478 7042133 8602489 13078247 14084266 15976051 17204978 19882681 24288173 26156494 29669809 31952102 39765362 48576346 49294931 59339618 60217423 73560059 91547729 98589862 111832357 120434846 147120118 170017211 183095458 207688663 223664714 340034422 415377326 421521961 514920413 640834103 782826499 843043922 956280767 1029840826 1190120477 1281668206 1453820641 1565652998 1912561534 2380240954 2907641282 2950653727 3604442891 5479785493 5901307454 6693965369 7208885782 8330843339 10176744487 10959570986 12431649971 13387930738 16661686678 20353488974 20654576089 24863299942 25231100237 30821664721 38358498451 41309152178 46857757583 50462200474 61643329442 71237211409 76716996902 87021549797 93715515166 142474422818 174043099594 176617701659 215751653047 268509489157 328004303081 353235403318 400681641373 431503306094 498660479863 537018978314 609150848579 656008606162 801363282746 997320959726 1218301697158 1236323911613 1510261571329 2296030121567 2472647823226 2804771489611 3020523142658 3490623359041 4264055940053 4592060243134 5208861337849 5609542979222 6981246718082 8528111880106 8654267381291 10417722675698 10571830999303 12914277518099 16072210850969 17308534762582 19633400427277 21143661998606 25828555036198 29848391580371 32144421701938 36462029364943 39266800854554 59696783160742 72924058729886 74002816995121 90399942626693 112505475956783 137433802990939 148005633990242 167885607735287 180799885253386 208938741062597 225010951913566 255234205554601 274867605981878 335771215470574 417877482125194 510468411109202 518019718965847 632799598386851 962036620936573 1036039437931694 1175199254147009 1265599196773702 1462571187438179 1786639438882207 1924073241873146 2182512900558731 2350398508294018 2925142374876358 3573278877764414 3626138032760929 4365025801117462 4429597188707957 6734256346556011 7252276065521858 8226394779029063 8859194377415914 12506476072175449 13468512693112022 15277590303911117 16452789558058126 25012952144350898 30555180607822234 31007180320955699 47139794425892077 57584763453203441 62014360641911398 87545332505228143 94279588851784154 106943132127377819 115169526906406882 175090665010456286 213886264254755638 217050262246689893 403093344172424087 434100524493379786 612817327536597001 748601924891644733 806186688344848174 1225634655073194002 1497203849783289466 1519351835726829251 2821653409206968609 3038703671453658502 5240213474241513131 5643306818413937218 10480426948483026262 19751573864448780263 36681494319690591917 39503147728897560526 73362988639381183834 256770460237834143419 513540920475668286838
• Sum of all divisors σ(n): 975471764028857893980
• Sum of proper divisors (its aliquot sum) s(n): 461930843553189607142
• 513540920475668286838 is a deficient number, because the sum of its proper divisors (461930843553189607142) is less than itself. Its deficiency is 51610076922478679696

Bases of 513540920475668286838

• Binary: 110111101011011001111110110100101000011110011010101011000110101110110₂
• Hexadecimal: 0x1BD6CFDA50F3558D76
• Base-36: 30DN5J9GV6DKZA

Squares and roots of 513540920475668286838

• 513540920475668286838 squared (513540920475668286838²) is 263724277002996659501481141023397844038244
• 513540920475668286838 cubed (513540920475668286838³) is 135433207963899022316922948541111819827581473491854235233832472
• The square root of 513540920475668286838 is 22661441270.9268844253
• The cube root of 513540920475668286838 is 8008017.5895753193

Scales and comparisons

• 513,540,920,475,668,286,838 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 513,540,920,475,668,286,838 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 513540920475668286838 cubic inches would be around 667334.8 feet tall.

Recreational maths with 513540920475668286838

• 513540920475668286838 backwards is 838682866574029045315
• The number of decimal digits it has is: 21
• The sum of 513540920475668286838's digits is 100
• More coming soon!