3348031147968
3,348,031,147,968 is an even composite number composed of seven prime numbers multiplied together.
3348031147968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 3348031147968:
26 × 3 × 13 × 17 × 127 × 331 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 127 × 331 × 1877)See below for interesting mathematical facts about the number 3348031147968 from the Numbermatics database.
Names of 3348031147968
- Cardinal: 3348031147968 can be written as Three trillion, three hundred forty-eight billion, thirty-one million, one hundred forty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.348031147968 × 1012
Factors of 3348031147968
Divisors of 3348031147968
- 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 48 51 52 64 68 78 96 102 104 127 136 156 192 204 208 221 254 272 312 331 381 408 416 442 508 544 624 662 663 762 816 832 884 993 1016 1088 1248 1324 1326 1524 1632 1651 1768 1877 1986 2032 2159 2496 2648 2652 3048 3264 3302 3536 3754 3972 4064 4303 4318 4953 5296 5304 5627 5631 6096 6477 6604 7072 7508 7944 8128 8606 8636 9906 10592 10608 11254 11262 12192 12909 12954 13208 14144 15016 15888 16881 17212 17272 19812 21184 21216 22508 22524 24384 24401 25818 25908 26416 28067 30032 31776 31909 33762 34424 34544 39624 42037 42432 45016 45048 48802 51636 51816 52832 56134 60064 63552 63818 67524 68848 69088 73151 73203 79248 84074 84201 90032 90096 95727 97604 103272 103632 105664 112268 120128 126111 127636 135048 137696 138176 146302 146406 158496 168148 168402 180064 180192 191454 195208 206544 207264 219453 224536 238379 252222 255272 270096 275392 292604 292812 316992 336296 336804 360128 360384 382908 390416 413088 414528 414817 438906 449072 476758 504444 510544 540192 546481 585208 585624 621287 672592 673608 714629 715137 765816 780832 826176 829634 877812 898144 953516 1008888 1021088 1080384 1092962 1170416 1171248 1242574 1244451 1345184 1347216 1429258 1430274 1531632 1561664 1639443 1659268 1755624 1796288 1863861 1907032 2017776 2042176 2143887 2185924 2340832 2342496 2485148 2488902 2690368 2694432 2858516 2860548 3063264 3098927 3278886 3318536 3511248 3727722 3814064 4035552 4052443 4287774 4371848 4681664 4684992 4970296 4977804 5388864 5717032 5721096 6126528 6197854 6557772 6637072 7022496 7455444 7628128 8071104 8076731 8104886 8575548 8743696 9290177 9296781 9940592 9955608 10561879 11434064 11442192 12157329 12395708 13115544 13274144 14044992 14910888 15256256 16153462 16209772 17151096 17487392 18580354 18593562 19881184 19911216 21123758 22868128 22884384 24230193 24314658 24791416 26231088 26548288 27870531 29821776 31685637 32306924 32419544 34302192 34974784 37160708 37187124 39762368 39822432 42247516 45736256 45768768 48460386 48629316 49582832 52462176 52681759 55741062 59643552 63371274 64613848 64839088 68604384 74321416 74374248 78903449 79644864 84495032 96920772 97258632 99165664 104924352 105363518 111482124 119287104 126742548 129227696 129678176 137208768 137304427 148642832 148748496 157806898 158045277 168990064 193841544 194517264 198331328 210727036 222964248 236710347 253485096 258455392 259356352 274608854 297285664 297496992 315613796 316090554 337980128 387683088 389034528 411913281 421454072 445928496 473420694 506970192 516910784 549217708 594571328 594993984 631227592 632181108 675960256 775366176 778069056 823826562 842908144 891856992 946841388 1013940384 1025744837 1098435416 1262455184 1264362216 1341358633 1550732352 1647653124 1685816288 1783713984 1893682776 2027880768 2051489674 2196870832 2524910368 2528724432 2682717266 3077234511 3295306248 3371632576 3787365552 4024075899 4102979348 4393741664 5049820736 5057448864 5365434532 6154469022 6590612496 7574731104 8048151798 8205958696 8787483328 10114897728 10730869064 12308938044 13181224992 15149462208 16096303596 16411917392 17437662229 21461738128 24617876088 26362449984 32192607192 32823834784 34875324458 42923476256 49235752176 52312986687 64385214384 65647669568 69750648916 85846952512 98471504352 104625973374 128770428768 139501297832 196943008704 209251946748 257540857536 279002595664 418503893496 558005191328 837007786992 1116010382656 1674015573984 3348031147968
- Sum of all divisors σ(n): 10216635383808
- Sum of proper divisors (its aliquot sum) s(n): 6868604235840
- 3348031147968 is an abundant number, because the sum of its proper divisors (6868604235840) is greater than itself. Its abundance is 3520573087872
Bases of 3348031147968
- Binary: 1100001011100001100011010100001111110000002
- Hexadecimal: 0x30B86350FC0
- Base-36: 16Q2BAV9C
Squares and roots of 3348031147968
- 3348031147968 squared (33480311479682) is 11209312567763923910529024
- 3348031147968 cubed (33480311479683) is 37529127624182779960984691944902623232
-
The
square root of 3348031147968 is 1829762.5933349931 -
The
cube root of 3348031147968 is 14959.9392494697
Scales and comparisons
How big is 3348031147968?- 3,348,031,147,968 seconds is equal to 106,457 years, 1 week, 5 days, 12 hours, 12 minutes, 48 seconds.
-
To count from 1 to 3,348,031,147,968 would take you about two hundred sixty-six thousand, one hundred forty-two 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 3348031147968 cubic inches would be around 1246.7 feet tall.
Recreational maths with 3348031147968
- 3348031147968 backwards is 8697411308433
- The number of decimal digits it has is: 13
- The sum of 3348031147968's digits is 57
- More coming soon!
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