448374234048

Names of 448374234048

• Cardinal: 448374234048 can be written as Four hundred forty-eight billion, three hundred seventy-four million, two hundred thirty-four thousand and forty-eight.

Scientific notation

• Scientific notation: 4.48374234048 × 10¹¹

Factors of 448374234048

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2830

Divisors of 448374234048

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 41 48 51 52 64 68 78 82 96 97 102 104 123 136 156 164 192 194 204 208 221 246 272 291 312 328 388 408 416 442 492 533 544 582 624 656 663 697 776 816 832 884 984 1066 1088 1164 1248 1261 1312 1326 1394 1552 1599 1632 1649 1768 1968 2091 2132 2328 2496 2522 2624 2652 2657 2788 3104 3198 3264 3298 3536 3783 3936 3977 4182 4264 4656 4947 5044 5304 5314 5576 6208 6396 6596 7072 7566 7872 7954 7971 8364 8528 9061 9312 9894 10088 10608 10628 11152 11931 12792 13192 14144 15132 15908 15942 16728 17056 18122 18624 19788 20176 21216 21256 21437 22304 23862 25584 26384 27183 30264 31816 31884 33456 34112 34541 36244 39576 40352 42432 42512 42874 44608 45169 47724 51168 51701 52768 54366 60528 63632 63768 64311 66912 67609 69082 72488 79152 80704 85024 85748 90338 95448 102336 103402 103623 105536 108732 108937 121056 127264 127536 128622 133824 135218 135507 138164 144976 155103 158304 170048 171496 180676 190896 202827 206804 207246 217464 217874 242112 254528 255072 257244 257729 270436 271014 276328 289952 310206 316608 326811 342992 361352 381792 405654 413608 414492 434928 435748 510144 514488 515458 540872 542028 552656 579904 587197 620412 653622 685984 722704 763584 773187 811308 827216 828984 869856 871496 878917 1028976 1030916 1081744 1084056 1105312 1174394 1240824 1307244 1371968 1416181 1445408 1546374 1622616 1654432 1657968 1739712 1742992 1757834 1761591 1851929 2057952 2061832 2163488 2168112 2210624 2348788 2481648 2614488 2636751 2832362 2890816 3092748 3245232 3308864 3315936 3350477 3485984 3515668 3523182 3703858 4115904 4123664 4248543 4326976 4336224 4381393 4697576 4963296 5228976 5273502 5555787 5664724 6185496 6490464 6631872 6700954 6971968 7031336 7046364 7407716 8247328 8497086 8672448 8762786 9395152 9926592 10051431 10457952 10547004 10566889 11111574 11329448 12370992 12980928 13144179 13401908 14062672 14092728 14815432 16494656 16994172 17525572 18790304 20102862 20915904 21094008 21133778 22223148 22658896 24075077 24741984 26288358 26803816 28125344 28185456 29630864 31700667 33988344 35051144 37580608 40205724 42188016 42267556 44446296 45317792 48150154 49483968 52576716 53607632 56250688 56370912 56958109 59261728 63401334 67976688 70102288 72225231 80411448 84376032 84535112 88892592 90635584 96300308 105153432 107215264 112741824 113916218 118523456 126802668 135953376 137369557 140204576 144450462 160822896 168752064 169070224 170874327 177785184 179637113 192600616 210306864 214430528 227832436 253605336 271906752 274739114 280409152 288900924 321645792 338140448 341748654 355570368 359274226 385201232 412108671 420613728 455664872 507210672 538911339 549478228 577801848 643291584 676280896 683497308 718548452 770402464 824217342 841227456 911329744 1014421344 1077822678 1098956456 1155603696 1366994616 1437096904 1540804928 1648434684 1822659488 2028842688 2155645356 2197912912 2311207392 2335282469 2733989232 2874193808 3296869368 3645318976 4311290712 4395825824 4622414784 4670564938 5467978464 5748387616 6593738736 7005847407 8622581424 8791651648 9341129876 10935956928 11496775232 13187477472 14011694814 17245162848 18682259752 26374954944 28023389628 34490325696 37364519504 56046779256 74729039008 112093558512 149458078016 224187117024 448374234048
• Sum of all divisors σ(n): 1400537029248
• Sum of proper divisors (its aliquot sum) s(n): 952162795200
• 448374234048 is an abundant number, because the sum of its proper divisors (952162795200) is greater than itself. Its abundance is 503788561152

Bases of 448374234048

• Binary: 110100001100101001011111101101111000000₂
• Hexadecimal: 0x68652FDBC0
• Base-36: 5PZAFX6O

Squares and roots of 448374234048

• 448374234048 squared (448374234048²) is 201039453758130682466304
• 448374234048 cubed (448374234048³) is 90140911092230159803116559569518592
• The square root of 448374234048 is 669607.5223950223
• The cube root of 448374234048 is 7653.8547451851

Scales and comparisons

• 448,374,234,048 seconds is equal to 14,256 years, 47 weeks, 3 days, 14 hours, 20 minutes, 48 seconds.
• To count from 1 to 448,374,234,048 would take you about twenty-eight thousand, five hundred thirteen 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 448374234048 cubic inches would be around 637.8 feet tall.

Recreational maths with 448374234048

• 448374234048 backwards is 840432473844
• 448374234048 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 448374234048's digits is 51
• More coming soon!