31013993838780416

Names of 31013993838780416

• Cardinal: 31013993838780416 can be written as Thirty-one quadrillion, thirteen trillion, nine hundred ninety-three billion, eight hundred thirty-eight million, seven hundred eighty thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 3.1013993838780416 × 10¹⁶

Factors of 31013993838780416

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 255

Divisors of 31013993838780416

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 4 8 16 32 37 43 64 74 86 128 148 172 173 256 296 344 346 512 592 688 692 1024 1184 1376 1384 1591 1849 2048 2368 2752 2768 3182 3698 4096 4736 5504 5536 6364 6401 7396 7439 8192 9472 11008 11072 12728 12802 14792 14878 18944 22016 22144 25456 25604 29584 29756 29929 37888 44032 44288 50912 51208 59168 59512 59858 68413 75776 79507 88064 88576 101824 102416 118336 119024 119716 136826 151552 159014 176128 177152 203648 204832 236672 238048 239432 273652 275243 303104 318028 319877 352256 354304 407296 409664 473344 476096 478864 547304 550486 636056 639754 708608 814592 819328 946688 952192 957728 1094608 1100972 1107373 1272112 1279508 1286947 1417216 1629184 1638656 1893376 1904384 1915456 2189216 2201944 2214746 2544224 2559016 2573894 2941759 3258368 3277312 3418801 3786752 3808768 3830912 4378432 4403888 4429492 5088448 5118032 5147788 5883518 6516736 6554624 6837602 7573504 7617536 7661824 8756864 8807776 8858984 10176896 10236064 10295576 11767036 11835449 13033472 13109248 13675204 13754711 15147008 15235072 15323648 17513728 17615552 17717968 20353792 20472128 20591152 23534072 23670898 26218496 27350408 27509422 30470144 30647296 35027456 35231104 35435936 40707584 40944256 41182304 47068144 47341796 47617039 52436992 54700816 55018844 55338721 60940288 61294592 70054912 70462208 70871872 81415168 81888512 82364608 94136288 94683592 95234078 109401632 110037688 110677442 122589184 126495637 140109824 140924416 141743744 162830336 163777024 164729216 188272576 189367184 190468156 218803264 220075376 221354884 245178368 252991274 280219648 281848832 283487488 325660672 327554048 329458432 376545152 378734368 380936312 437606528 440150752 442709768 505982548 508924307 560439296 563697664 566974976 591452573 651321344 655108096 658916864 753090304 757468736 761872624 875213056 880301504 885419536 1011965096 1017848614 1127395328 1133949952 1182905146 1310216192 1317833728 1506180608 1514937472 1523745248 1750426112 1760603008 1770839072 2023930192 2035697228 2047532677 2254790656 2267899904 2365810292 2379565003 2620432384 2635667456 3012361216 3029874944 3047490496 3500852224 3521206016 3541678144 4047860384 4071394456 4095065354 4535799808 4731620584 4759130006 5271334912 6024722432 6059749888 6094980992 7001704448 7042412032 7083356288 8095720768 8142788912 8190130708 9071599616 9463241168 9518260012 10542669824 12049444864 12119499776 12189961984 14003408896 14084824064 14166712576 16191441536 16285577824 16380261416 18926482336 19036520024 21883745201 24098889728 24238999552 24379923968 28006817792 28169648128 28333425152 32382883072 32571155648 32760522832 37852964672 38073040048 43767490402 48477999104 48759847936 56339296256 56666850304 64765766144 65142311296 65521045664 75705929344 76146080096 87534980804 88043905111 96955998208 97519695872 102321295129 112678592512 113333700608 129531532288 130284622592 131042091328 151411858688 152292160192 175069961608 176087810222 195039391744 204642590258 226667401216 259063064576 260569245184 262084182656 302823717376 304584320384 350139923216 352175620444 390078783488 409285180516 453334802432 518126129152 521138490368 524168365312 605647434752 609168640768 700279846432 704351240888 818570361032 1036252258304 1042276980736 1048336730624 1211294869504 1218337281536 1400559692864 1408702481776 1637140722064 2084553961472 2096673461248 2422589739008 2436674563072 2801119385728 2817404963552 3274281444128 3785887919773 4169107922944 4193346922496 4845179478016 4873349126144 5602238771456 5634809927104 6548562888256 7571775839546 8386693844992 9746698252288 11204477542912 11269619854208 13097125776512 15143551679092 16773387689984 19493396504576 22408955085824 22539239708416 26194251553024 30287103358184 44817910171648 45078479416832 52388503106048 60574206716368 89635820343296 90156958833664 104777006212096 121148413432736 179271640686592 180313917667328 209554012424192 242296826865472 360627835334656 419108024848384 484593653730944 721255670669312 838216049696768 969187307461888 1938374614923776 3876749229847552 7753498459695104 15506996919390208 31013993838780416
• Sum of all divisors σ(n): 65596367606355462
• Sum of proper divisors (its aliquot sum) s(n): 34582373767575046
• 31013993838780416 is an abundant number, because the sum of its proper divisors (34582373767575046) is greater than itself. Its abundance is 3568379928794630

Bases of 31013993838780416

• Binary: 1101110001011110001000000100101110100111010000000000000₂
• Hexadecimal: 0x6E2F1025D3A000
• Base-36: 8HDJK2U0O3K

Squares and roots of 31013993838780416

• 31013993838780416 squared (31013993838780416²) is 961867813831909604274762265133056
• 31013993838780416 cubed (31013993838780416³) is 29831362451904032666549938915481213902015007031296
• The square root of 31013993838780416 is 176107903.9645308367
• The cube root of 31013993838780416 is 314185.3269179969

Scales and comparisons

• 31,013,993,838,780,416 seconds is equal to 986,149,071 years, 25 weeks, 3 days, 22 hours, 6 minutes, 56 seconds.
• To count from 1 to 31,013,993,838,780,416 would take you about two billion, nine hundred fifty-eight million, four hundred forty-seven thousand, two hundred fourteen 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 31013993838780416 cubic inches would be around 26182.1 feet tall.

Recreational maths with 31013993838780416

• 31013993838780416 backwards is 61408783839931013
• 31013993838780416 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 31013993838780416's digits is 74
• More coming soon!