3138835877403376332
3,138,835,877,403,376,332 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3138835877403376332 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
3138835877403376332 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 3138835877403376332:
22 × 3 × 7 × 132 × 19 × 5419 × 2147483647
(2 × 2 × 3 × 7 × 13 × 13 × 19 × 5419 × 2147483647)See below for interesting mathematical facts about the number 3138835877403376332 from the Numbermatics database.
Names of 3138835877403376332
- Cardinal: 3138835877403376332 can be written as Three quintillion, one hundred thirty-eight quadrillion, eight hundred thirty-five trillion, eight hundred seventy-seven billion, four hundred three million, three hundred seventy-six thousand, three hundred thirty-two.
Scientific notation
- Scientific notation: 3.138835877403376332 × 1018
Factors of 3138835877403376332
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 2147489110
Divisors of 3138835877403376332
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 169 182 228 247 266 273 338 364 399 494 507 532 546 676 741 798 988 1014 1092 1183 1482 1596 1729 2028 2366 2964 3211 3458 3549 4732 5187 5419 6422 6916 7098 9633 10374 10838 12844 14196 16257 19266 20748 21676 22477 32514 37933 38532 44954 65028 67431 70447 75866 89908 102961 113799 134862 140894 151732 205922 211341 227598 269724 281788 308883 411844 422682 455196 493129 617766 720727 845364 915811 986258 1235532 1338493 1441454 1479387 1831622 1972516 2162181 2676986 2747433 2882908 2958774 3663244 4015479 4324362 5353972 5494866 5917548 6410677 8030958 8648724 9369451 10989732 12821354 16061916 17400409 18738902 19232031 25642708 28108353 34800818 37477804 38464062 52201227 56216706 69601636 76928124 104402454 112433412 121802863 208804908 243605726 365408589 487211452 730817178 1461634356 2147483647 4294967294 6442450941 8589934588 12884901882 15032385529 25769803764 27917287411 30064771058 40802189293 45097156587 55834574822 60129542116 81604378586 83751862233 90194313174 111669149644 122406567879 163208757172 167503724466 180388626348 195421011877 244813135758 285615325051 335007448932 362924736343 390842023754 489626271516 530428460809 571230650102 586263035631 725849472686 781684047508 856845975153 1060856921618 1088774209029 1142461300204 1172526071262 1451698945372 1591285382427 1713691950306 2121713843236 2177548418058 2345052142524 2540473154401 3182570764854 3427383900612 3712999225663 4355096836116 5080946308802 6365141529708 6895569990517 7425998451326 7621419463203 10161892617604 11138997676989 11637213883093 13791139981034 14851996902652 15242838926406 20686709971551 22277995353978 23274427766186 27582279962068 30485677852812 34911641649279 41373419943102 44555990707956 46548855532372 48268989933619 69823283298558 81460497181651 82746839886204 96537979867238 139646566597116 144806969800857 151283780480209 162920994363302 193075959734476 221107063778767 244381491544953 289613939601714 302567560960418 325841988726604 442214127557534 453851341440627 488762983089906 579227879203428 605135121920836 663321191336301 884428255115068 907702682881254 977525966179812 1058986463361463 1326642382672602 1547749446451369 1815405365762508 1966689146242717 2117972926722926 2653284765345204 2874391829123971 3095498892902738 3176959390084389 3933378292485434 4235945853445852 4643248339354107 5748783658247942 5900067438728151 6190997785805476 6353918780168778 7866756584970868 8623175487371913 9286496678708214 11497567316495884 11800134877456302 12707837560337556 13766824023699019 17246350974743826 18572993357416428 20120742803867797 23600269754912604 27533648047398038 34492701949487652 37367093778611623 40241485607735594 41300472071097057 55067296094796076 60362228411603391 74734187557223246 80482971215471188 82600944142194114 112101281335834869 120724456823206782 149468375114446492 165201888284388228 224202562671669738 241448913646413564 261569656450281361 448405125343339476 523139312900562722 784708969350844083 1046278625801125444 1569417938701688166 3138835877403376332
- Sum of all divisors σ(n): 9542414027351654400
- Sum of proper divisors (its aliquot sum) s(n): 6403578149948278068
- 3138835877403376332 is an abundant number, because the sum of its proper divisors (6403578149948278068) is greater than itself. Its abundance is 3264742272544901736
Bases of 3138835877403376332
- Binary: 101011100011110110001010011001101010001110000100111010110011002
- Hexadecimal: 0x2B8F6299A8E13ACC
- Base-36: NUI8GFKP834C
Squares and roots of 3138835877403376332
- 3138835877403376332 squared (31388358774033763322) is 9852290665274623334791238793217774224
- 3138835877403376332 cubed (31388358774033763323) is 30924723414770366651260439962895831898521326691681266368
-
The
square root of 3138835877403376332 is 1771676008.0227356095 -
The
cube root of 3138835877403376332 is 1464163.3646162003
Scales and comparisons
How big is 3138835877403376332?- 3,138,835,877,403,376,332 seconds is equal to 99,805,271,844 years, 30 weeks, 1 day, 23 hours, 12 minutes, 12 seconds.
-
To count from 1 to 3,138,835,877,403,376,332 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 3138835877403376332 cubic inches would be around 122013.6 feet tall.
Recreational maths with 3138835877403376332
- 3138835877403376332 backwards is 2336733047785388313
- 3138835877403376332 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 3138835877403376332's digits is 84
- More coming soon!
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