3431385640152064

Names of 3431385640152064

• Cardinal: 3431385640152064 can be written as Three quadrillion, four hundred thirty-one trillion, three hundred eighty-five billion, six hundred forty million, one hundred fifty-two thousand and sixty-four.

Scientific notation

• Scientific notation: 3.431385640152064 × 10¹⁵

Factors of 3431385640152064

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 398734

Divisors of 3431385640152064

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 4 7 8 14 16 17 28 31 32 34 43 53 56 62 64 68 86 106 112 119 124 128 136 172 212 217 224 238 248 256 272 301 344 371 424 434 448 476 496 512 527 544 602 688 731 742 848 868 896 901 952 992 1024 1054 1088 1204 1333 1376 1462 1484 1643 1696 1736 1792 1802 1904 1984 2108 2176 2279 2408 2666 2752 2924 2968 3286 3392 3472 3584 3604 3689 3808 3968 4216 4352 4558 4816 5117 5332 5504 5848 5936 6307 6572 6784 6944 7168 7208 7378 7616 7936 8432 8704 9116 9331 9632 10234 10664 11008 11501 11696 11872 12614 13144 13568 13888 14416 14756 15232 15872 15953 16864 17408 18232 18662 19264 20468 21328 22016 22661 23002 23392 23744 25228 26288 27136 27776 27931 28832 29512 30464 31744 31906 33728 36464 37324 38528 38743 40936 42656 44032 45322 46004 46784 47488 50456 52576 54272 55552 55862 57664 59024 60928 63812 67456 70649 72928 74648 77056 77486 81872 85312 90644 92008 93568 94976 100912 105152 111104 111724 115328 118048 121856 127624 134912 141298 145856 149296 154112 154972 158627 163744 170624 181288 184016 187136 189952 195517 201824 210304 222208 223448 230656 236096 255248 269824 271201 282596 291712 298592 308224 309944 317254 327488 341248 362576 368032 374272 379904 391034 398581 403648 420608 446896 461312 472192 494543 510496 539648 542402 565192 583424 597184 619888 634508 654976 682496 725152 736064 748544 782068 797162 807296 841216 893792 922624 944384 989086 1020992 1084804 1130384 1166848 1194368 1201033 1239776 1269016 1309952 1364992 1450304 1472128 1564136 1594324 1614592 1682432 1787584 1888768 1978172 2041984 2169608 2260768 2333696 2388736 2402066 2479552 2538032 2619904 2790067 2900608 2944256 3128272 3188648 3229184 3575168 3777536 3956344 4083968 4339216 4521536 4777472 4804132 4959104 5076064 5239808 5580134 5801216 5888512 6256544 6377296 6458368 6775877 7150336 7912688 8167936 8407231 8678432 9043072 9554944 9608264 9918208 10152128 11160268 11602432 11777024 12356011 12513088 12754592 13551754 14300672 15825376 16335872 16814462 17138983 17356864 18086144 19216528 19836416 20304256 21124793 22320536 23204864 24712022 25026176 25509184 27103508 28601344 31650752 33628924 34277966 34713728 36172288 38433056 39672832 40608512 42249586 44641072 47431139 49424044 50052352 51018368 54207016 63301504 67257848 68555932 69427456 72344576 76866112 81217024 84499172 86492077 89282144 94862278 98848088 100104704 102036736 108414032 119972881 126603008 134515696 137111864 138854912 147873551 153732224 162434048 168998344 172984154 178564288 189724556 197696176 200209408 204073472 210052187 216828064 239945762 253206016 269031392 274223728 277709824 291362711 295747102 307464448 337996688 345968308 357128576 359121481 379449112 395392352 408146944 420104374 433656128 479891524 506412032 531308473 538062784 548447456 582725422 591494204 614928896 654868583 675993376 691936616 714257152 718242962 758898224 790784704 840208748 867312256 908366099 959783048 1062616946 1076125568 1096894912 1165450844 1182988408 1229857792 1309737166 1351986752 1383873232 1428514304 1436485924 1470365309 1517796448 1581569408 1680417496 1734624512 1816732198 1919566096 2039538977 2125233892 2152251136 2193789824 2330901688 2365976816 2513850367 2619474332 2703973504 2767746464 2857028608 2872971848 2940730618 3035592896 3163138816 3360834992 3469249024 3633464396 3719159311 3839132192 4079077954 4250467784 4304502272 4387579648 4584080081 4661803376 4731953632 5027700734 5238948664 5407947008 5535492928 5745943696 5881461236 6071185792 6326277632 6358562693 6721669984 6938498048 7266928792 7438318622 7678264384 8158155908 8500935568 8609004544 8775159296 9032244041 9168160162 9323606752 9463907264 10055401468 10477897328 10815894016 11070985856 11132765911 11491887392 11762922472 12142371584 12652555264 12717125386 13443339968 14533857584 14876637244 15356528768 15442223683 16316311816 17001871136 17550318592 18064488082 18336320324 18647213504 18927814528 20110802936 20955794656 21631788032 22141971712 22265531822 22983774784 23525844944 24284743168 25434250772 26886679936 28159349069 29067715168 29753274488 30713057536 30884447366 32632623632 34003742272 36128976164 36672640648 37294427008 37855629056 40221605872 41911589312 44283943424 44531063644 45967549568 47051689888 48569486336 50868501544 53773359872 56318698138 58135430336 59506548976 61426115072 61768894732 63225708287 65265247264 68007484544 72257952328 73345281296 74588854016 75711258112 77929361377 80443211744 83823178624 88567886848 89062127288 91935099136 94103379776 101737003088 107546719744 108095565781 112637396276 116270860672 119013097952 122852230144 123537789464 126451416574 130530494528 136014969088 144515904656 146690562592 149177708032 151422516224 155858722754 160886423488 167646357248 178124254576 183870198272 188206759552 197115443483 203474006176 215093439488 216191131562 225274792552 232541721344 238026195904 247075578928 252902833148 261060989056 272029938176 289031809312 293381125184 298355416064 311717445508 321772846976 335292714496 356248509152 367740396544 376413519104 394230886966 406948012352 432382263124 450549585104 465083442688 476052391808 478708934173 494151157856 505805666296 522121978112 544059876352 578063618624 586762250368 623434891016 643545693952 670585428992 712497018304 752827038208 788461773932 813896024704 864764526248 901099170208 930166885376 952104783616 957417868346 988302315712 1011611332592 1044243956224 1156127237248 1173524500736 1246869782032 1287091387904 1424994036608 1505654076416 1576923547864 1627792049408 1729529052496 1802198340416 1904209567232 1914835736692 1976604631424 2023222665184 2088487912448 2312254474496 2347049001472 2493739564064 2574182775808 2849988073216 3153847095728 3255584098816 3350962539211 3459058104992 3604396680832 3808419134464 3829671473384 3953209262848 4046445330368 4624508948992 4694098002944 4987479128128 5699976146432 6307694191456 6511168197632 6701925078422 6918116209984 7208793361664 7659342946768 7906418525696 8092890660736 9249017897984 9974958256256 11399952292864 12615388382912 13403850156844 13836232419968 14417586723328 15318685893536 15812837051392 16185781321472 19949916512512 25230776765824 26807700313688 27672464839936 28835173446656 30637371787072 32371562642944 39899833025024 50461553531648 53615400627376 55344929679872 61274743574144 64743125285888 79799666050048 100923107063296 107230801254752 110689859359744 122549487148288 201846214126592 214461602509504 245098974296576 428923205019008 490197948593152 857846410038016 1715692820076032 3431385640152064
• Sum of all divisors σ(n): 8932940297183232
• Sum of proper divisors (its aliquot sum) s(n): 5501554657031168
• 3431385640152064 is an abundant number, because the sum of its proper divisors (5501554657031168) is greater than itself. Its abundance is 2070169016879104

Bases of 3431385640152064

• Binary: 1100001100001101001110111010001010110010110000000000₂
• Hexadecimal: 0xC30D3BA2B2C00
• Base-36: XSBOSUE7LS

Squares and roots of 3431385640152064

• 3431385640152064 squared (3431385640152064²) is 11774407411441790051945043460096
• 3431385640152064 cubed (3431385640152064³) is 40402532512921393568752560560608298510156038144
• The square root of 3431385640152064 is 58578030.3539822341
• The cube root of 3431385640152064 is 150830.7335356219

Scales and comparisons

• 3,431,385,640,152,064 seconds is equal to 109,107,449 years, 19 weeks, 6 days, 20 hours, 1 minute, 4 seconds.
• To count from 1 to 3,431,385,640,152,064 would take you about three hundred twenty-seven million, three hundred twenty-two thousand, three hundred forty-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 3431385640152064 cubic inches would be around 12569.2 feet tall.

Recreational maths with 3431385640152064

• 3431385640152064 backwards is 4602510465831343
• The number of decimal digits it has is: 16
• The sum of 3431385640152064's digits is 55
• More coming soon!