31378899634716672

Names of 31378899634716672

• Cardinal: 31378899634716672 can be written as Thirty-one quadrillion, three hundred seventy-eight trillion, eight hundred ninety-nine billion, six hundred thirty-four million, seven hundred sixteen thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 3.1378899634716672 × 10¹⁶

Factors of 31378899634716672

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 15799

Divisors of 31378899634716672

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 157 192 222 256 288 296 314 333 384 444 471 512 576 592 628 666 768 888 942 1024 1152 1184 1256 1279 1332 1413 1536 1776 1884 2048 2304 2368 2512 2558 2664 2826 3072 3552 3768 3837 4096 4608 4736 5024 5116 5328 5652 5809 6144 7104 7536 7674 8192 9216 9472 10048 10232 10656 11304 11511 11618 12288 14208 14321 15072 15348 16384 17427 18432 18944 20096 20464 21312 22608 23022 23236 24576 28416 28642 30144 30696 32768 34854 36864 37888 40192 40928 42624 42963 45216 46044 46472 47323 49152 52281 56832 57284 60288 61392 69708 73728 75776 80384 81856 85248 85926 90432 92088 92944 94646 98304 104562 113664 114568 120576 122784 128889 139416 141969 147456 151552 160768 163712 170496 171852 180864 184176 185888 189292 200803 209124 227328 229136 241152 245568 257778 278832 283938 294912 303104 321536 327424 340992 343704 361728 368352 371776 378584 401606 418248 425907 454656 458272 482304 491136 515556 529877 557664 567876 602409 606208 643072 654848 681984 687408 723456 736704 743552 757168 803212 836496 851814 909312 916544 964608 982272 1031112 1059754 1115328 1135752 1204818 1212416 1286144 1309696 1363968 1374816 1446912 1473408 1487104 1514336 1589631 1606424 1672992 1703628 1807227 1818624 1833088 1929216 1964544 2062224 2119508 2230656 2248397 2271504 2409636 2572288 2619392 2727936 2749632 2893824 2946816 2974208 3028672 3179262 3212848 3345984 3407256 3614454 3637248 3666176 3858432 3929088 4124448 4239016 4461312 4496794 4543008 4768893 4819272 5144576 5238784 5455872 5499264 5787648 5893632 5948416 6057344 6358524 6425696 6691968 6745191 6814512 7228908 7332352 7429711 7716864 7858176 8248896 8478032 8922624 8993588 9086016 9537786 9638544 10477568 10911744 10998528 11575296 11787264 11896832 12114688 12717048 12851392 13383936 13490382 13629024 14457816 14664704 14859422 15433728 15716352 16497792 16956064 17845248 17987176 18172032 18316559 19075572 19277088 20235573 20955136 21997056 22289133 23150592 23574528 23793664 24229376 25434096 25702784 26767872 26980764 27258048 28915632 29329408 29718844 31432704 32995584 33912128 35690496 35974352 36344064 36633118 38151144 38554176 40471146 41910272 43994112 44578266 46301184 47149056 47587328 48458752 50868192 51405568 53535744 53961528 54516096 54949677 57831264 58658816 59437688 62865408 65991168 66867399 67824256 71380992 71948704 72688128 73266236 76302288 77108352 80942292 83190689 87988224 89156532 94298112 95174656 96917504 101736384 102811136 107071488 107923056 109032192 109899354 115662528 117317632 118875376 125730816 131982336 133734798 135648512 142761984 143897408 145376256 146532472 152604576 154216704 161884584 164849031 166381378 175976448 178313064 188596224 190349312 193835008 203472768 205622272 214142976 215846112 218064384 219798708 231325056 234635264 237750752 249572067 263964672 267469596 271297024 285523968 287794816 290752512 293064944 305209152 308433408 323769168 329698062 332762756 351952896 356626128 377192448 387670016 406945536 411244544 428285952 431692224 436128768 439597416 462650112 469270528 475501504 499144134 527929344 534939192 542594048 571047936 575589632 581505024 586129888 610418304 616866816 647538336 659396124 665525512 677712683 703905792 713252256 748716201 775340032 813891072 822489088 856571904 863384448 872257536 879194832 925300224 951003008 998288268 1055858688 1069878384 1085188096 1151179264 1163010048 1172259776 1220836608 1233733632 1295076672 1318792248 1331051024 1355425366 1407811584 1426504512 1497432402 1550680064 1627782144 1644978176 1713143808 1726768896 1744515072 1758389664 1850600448 1902006016 1996576536 2033138049 2111717376 2139756768 2170376192 2302358528 2326020096 2344519552 2441673216 2467467264 2590153344 2637584496 2662102048 2710850732 2853009024 2875699763 2994864804 3255564288 3289956352 3453537792 3489030144 3516779328 3701200896 3804012032 3993153072 4066276098 4223434752 4279513536 4340752384 4604717056 4652040192 4689039104 4883346432 4934934528 5180306688 5275168992 5324204096 5421701464 5706018048 5751399526 5989729608 6099414147 6511128576 6579912704 6907075584 6978060288 7033558656 7402401792 7608024064 7986306144 8132552196 8559027072 8627099289 8681504768 9209434112 9378078208 9766692864 9869869056 10360613376 10550337984 10648408192 10843402928 11412036096 11502799052 11979459216 12198828294 13022257152 13814151168 13956120576 14067117312 14804803584 15216048128 15972612288 16265104392 17118054144 17254198578 17363009536 18418868224 18756156416 19533385728 19739738112 20721226752 21100675968 21296816384 21686805856 22824072192 23005598104 23958918432 24397656588 25881297867 26044514304 27628302336 28134234624 29609607168 30432096256 31945224576 32530208784 34236108288 34508397156 36837736448 37512312832 39066771456 41442453504 42201351936 42593632768 43373611712 45648144384 46011196208 47917836864 48795313176 51762595734 52089028608 55256604672 56268469248 59219214336 60864192512 63890449152 65060417568 68472216576 69016794312 73675472896 75024625664 78133542912 82884907008 84402703872 85187265536 86747223424 91296288768 92022392416 95835673728 97590626352 103525191468 106400891231 110513209344 112536938496 121728385024 127780898304 130120835136 136944433152 138033588624 150049251328 156267085824 165769814016 168805407744 170374531072 173494446848 182592577536 184044784832 191671347456 195181252704 207050382936 212801782462 221026418688 225073876992 243456770048 255561796608 260241670272 273888866304 276067177248 300098502656 319202673693 331539628032 337610815488 340749062144 346988893696 365185155072 368089569664 383342694912 390362505408 414100765872 425603564924 450147753984 511123593216 520483340544 547777732608 552134354496 600197005312 638405347386 663079256064 675221630976 681498124288 693977787392 730370310144 736179139328 766685389824 780725010816 828201531744 851207129848 900295507968 957608021079 1022247186432 1040966681088 1095555465216 1104268708992 1276810694772 1350443261952 1362996248576 1387955574784 1472358278656 1533370779648 1561450021632 1656403063488 1702414259696 1800591015936 1915216042158 2044494372864 2081933362176 2191110930432 2208537417984 2553621389544 2700886523904 2725992497152 2775911149568 2944716557312 3066741559296 3122900043264 3312806126976 3404828519392 3830432084316 4088988745728 4163866724352 4417074835968 5107242779088 5401773047808 5551822299136 5889433114624 6133483118592 6245800086528 6625612253952 6809657038784 7660864168632 8177977491456 8327733448704 8834149671936 10214485558176 11103644598272 11778866229248 12266966237184 12491600173056 13251224507904 13619314077568 15321728337264 16655466897408 17668299343872 20428971116352 22207289196544 23557732458496 24533932474368 24983200346112 26502449015808 27238628155136 30643456674528 33310933794816 35336598687744 40857942232704 47115464916992 49966400692224 53004898031616 54477256310272 61286913349056 66621867589632 70673197375488 81715884465408 94230929833984 99932801384448 106009796063232 108954512620544 122573826698112 141346394750976 163431768930816 199865602768896 212019592126464 217909025241088 245147653396224 282692789501952 326863537861632 424039184252928 435818050482176 490295306792448 653727075723264 848078368505856 871636100964352 980590613584896 1307454151446528 1743272201928704 1961181227169792 2614908302893056 3486544403857408 3922362454339584 5229816605786112 7844724908679168 10459633211572224 15689449817358336 31378899634716672
• Sum of all divisors σ(n): 93771524938291200
• Sum of proper divisors (its aliquot sum) s(n): 62392625303574528
• 31378899634716672 is an abundant number, because the sum of its proper divisors (62392625303574528) is greater than itself. Its abundance is 31013725668857856

Bases of 31378899634716672

• Binary: 1101111011110101111000101100110001010111000000000000000₂
• Hexadecimal: 0x6F7AF1662B8000
• Base-36: 8KYW3HJBWG0

Squares and roots of 31378899634716672

• 31378899634716672 squared (31378899634716672²) is 984635342285622091473509714755584
• 31378899634716672 cubed (31378899634716672³) is 30896773582375432349626949864579942331349569896448
• The square root of 31378899634716672 is 177140903.3360637235
• The cube root of 31378899634716672 is 315412.7440209799

Scales and comparisons

• 31,378,899,634,716,672 seconds is equal to 997,751,947 years, 3 weeks, 6 days, 3 hours, 31 minutes, 12 seconds.
• To count from 1 to 31,378,899,634,716,672 would take you about two billion, nine hundred ninety-three million, two hundred fifty-five thousand, eight hundred forty-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 31378899634716672 cubic inches would be around 26284.4 feet tall.

Recreational maths with 31378899634716672

• 31378899634716672 backwards is 27661743699887313
• The number of decimal digits it has is: 17
• The sum of 31378899634716672's digits is 90
• More coming soon!