980415177974452224

Names of 980415177974452224

• Cardinal: 980415177974452224 can be written as Nine hundred eighty quadrillion, four hundred fifteen trillion, one hundred seventy-seven billion, nine hundred seventy-four million, four hundred fifty-two thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 9.80415177974452224 × 10¹⁷

Factors of 980415177974452224

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 48309

Divisors of 980415177974452224

• Number of divisors d(n): 351
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 512 576 642 768 856 963 1024 1152 1284 1536 1712 1926 2048 2304 2568 3072 3424 3852 4096 4608 5136 6144 6848 7704 9216 10272 11449 12288 13696 15408 18432 20544 22898 27392 30816 34347 36864 41088 45796 48197 54784 61632 68694 82176 91592 96394 103041 109568 123264 137388 144591 164352 183184 192788 206082 219136 246528 274776 289182 328704 366368 385576 412164 433773 438272 493056 549552 578364 657408 732736 771152 824328 867546 986112 1099104 1156728 1314816 1465472 1542304 1648656 1735092 1972224 2198208 2313456 2930944 3084608 3297312 3470184 3944448 4396416 4626912 5157079 5861888 6169216 6594624 6940368 8792832 9253824 10314158 11723776 12338432 13189248 13880736 15471237 17585664 18507648 20628316 23447552 24676864 26378496 27761472 30942474 35171328 37015296 41256632 46413711 46895104 49353728 52756992 55522944 61884948 70342656 74030592 82513264 92827422 98707456 105513984 111045888 123769896 140685312 148061184 165026528 185654844 197414912 211027968 222091776 247539792 296122368 330053056 371309688 422055936 444183552 495079584 551807453 592244736 660106112 742619376 888367104 990159168 1103614906 1320212224 1485238752 1655422359 1776734208 1980318336 2207229812 2322950809 2640424448 2970477504 3310844718 3960636672 4414459624 4645901618 4966267077 5280848896 5940955008 6621689436 6968852427 7921273344 8828919248 9291803236 9932534154 10561697792 11881910016 13243378872 13937704854 15842546688 17657838496 18583606472 19865068308 20906557281 21123395584 23763820032 26486757744 27875409708 31685093376 35315676992 37167212944 39730136616 41813114562 47527640064 52973515488 55750819416 63370186752 70631353984 74334425888 79460273232 83626229124 95055280128 105947030976 111501638832 141262707968 148668851776 158920546464 167252458248 190110560256 211894061952 223003277664 248555736563 282525415936 297337703552 317841092928 334504916496 423788123904 446006555328 497111473126 565050831872 594675407104 635682185856 669009832992 745667209689 847576247808 892013110656 994222946252 1130101663744 1189350814208 1271364371712 1338019665984 1491334419378 1695152495616 1784026221312 1988445892504 2237001629067 2260203327488 2378701628416 2542728743424 2676039331968 2982668838756 3390304991232 3568052442624 3976891785008 4474003258134 4757403256832 5085457486848 5352078663936 5965337677512 6780609982464 7136104885248 7953783570016 8948006516268 9514806513664 10170914973696 10704157327872 11930675355024 14272209770496 15907567140032 17896013032536 20341829947392 21408314655744 23861350710048 26595463812241 28544419540992 31815134280064 35792026065072 42816629311488 47722701420096 53190927624482 63630268560128 71584052130144 79786391436723 85633258622976 95445402840192 106381855248964 127260537120256 143168104260288 159572782873446 190890805680384 212763710497928 239359174310169 254521074240512 286336208520576 319145565746892 381781611360768 425527420995856 478718348620338 509042148481024 572672417041152 638291131493784 763563222721536 851054841991712 957436697240676 1018084296962048 1145344834082304 1276582262987568 1527126445443072 1702109683983424 1914873394481352 2290689668164608 2553164525975136 3054252890886144 3404219367966848 3829746788962704 4581379336329216 5106329051950272 6808438735933696 7659493577925408 9162758672658432 10212658103900544 13616877471867392 15318987155850816 20425316207801088 27233754943734784 30637974311701632 40850632415602176 54467509887469568 61275948623403264 81701264831204352 108935019774939136 122551897246806528 163402529662408704 245103794493613056 326805059324817408 490207588987226112 980415177974452224
• Sum of all divisors σ(n): 2858738402003337217
• Sum of proper divisors (its aliquot sum) s(n): 1878323224028884993
• 980415177974452224 is an abundant number, because the sum of its proper divisors (1878323224028884993) is greater than itself. Its abundance is 897908046054432769

Bases of 980415177974452224

• Binary: 110110011011001000100110100011101111100100011001000000000000₂
• Hexadecimal: 0xD9B2268EF919000
• Base-36: 7G5K6AYS8HS0

Squares and roots of 980415177974452224

• 980415177974452224 squared (980415177974452224²) is 961213921202676829291564432858546176
• 980415177974452224 cubed (980415177974452224³) is 942388717627443499719397119104349471144022150609895424
• 980415177974452224 is a perfect square number. Its square root is 990159168
• The cube root of 980415177974452224 is 993428.6377800009

Scales and comparisons

• 980,415,177,974,452,224 seconds is equal to 31,174,170,036 years, 16 weeks, 6 days, 19 hours, 50 minutes, 24 seconds.
• To count from 1 to 980,415,177,974,452,224 would take you about ninety-three billion, five hundred twenty-two million, five hundred ten thousand, one hundred eight 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 980415177974452224 cubic inches would be around 82785.7 feet tall.

Recreational maths with 980415177974452224

• 980415177974452224 backwards is 422254479771514089
• The number of decimal digits it has is: 18
• The sum of 980415177974452224's digits is 81
• More coming soon!