1328628418425
1,328,628,418,425 is an odd composite number composed of seven prime numbers multiplied together.
1328628418425 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 1328628418425:
32 × 52 × 7 × 11 × 23 × 532 × 1187
(3 × 3 × 5 × 5 × 7 × 11 × 23 × 53 × 53 × 1187)See below for interesting mathematical facts about the number 1328628418425 from the Numbermatics database.
Names of 1328628418425
- Cardinal: 1328628418425 can be written as One trillion, three hundred twenty-eight billion, six hundred twenty-eight million, four hundred eighteen thousand, four hundred twenty-five.
Scientific notation
- Scientific notation: 1.328628418425 × 1012
Factors of 1328628418425
Divisors of 1328628418425
- Number of divisors d(n): 432
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Complete list of divisors:
1 3 5 7 9 11 15 21 23 25 33 35 45 53 55 63 69 75 77 99 105 115 159 161 165 175 207 225 231 253 265 275 315 345 371 385 477 483 495 525 575 583 693 759 795 805 825 1035 1113 1155 1187 1219 1265 1325 1449 1575 1725 1749 1771 1855 1925 2277 2385 2415 2475 2809 2915 3339 3465 3561 3657 3795 3975 4025 4081 5175 5247 5313 5565 5775 5935 6095 6325 7245 8309 8427 8533 8745 8855 9275 10683 10971 11385 11925 12075 12243 13057 13409 14045 14575 15939 16695 17325 17805 18285 18975 19663 20405 24927 25281 25599 26235 26565 27301 27825 29675 30475 30899 36225 36729 39171 40227 41545 42135 42665 43725 44275 53415 54855 56925 58989 61215 62911 64607 65285 67045 70225 74781 76797 79695 81903 83475 89025 91399 91425 92697 93863 98315 102025 117513 120681 124635 126405 127995 131175 132825 136505 154495 176967 183645 188733 191107 193821 195855 201135 207725 210675 213325 216293 245709 267075 274197 274275 278091 281589 294945 300311 306075 314555 323035 326425 335225 373905 383985 398475 409515 440377 452249 456995 463485 469315 491575 566199 573321 581463 587565 603405 623175 632025 639975 648879 682525 692021 710677 772475 822591 844767 884835 900933 918225 943665 955535 969105 979275 1005675 1081465 1228545 1321131 1356747 1370985 1390455 1407945 1446953 1474725 1501555 1572775 1615175 1719963 1869525 1919925 1946637 2047575 2076063 2102177 2132031 2201885 2261245 2284975 2317425 2346575 2702799 2830995 2866605 2907315 2937825 3017025 3244395 3334283 3460105 3553385 3963393 4070241 4112955 4223835 4340859 4424175 4504665 4718325 4777675 4844147 4845525 4974739 5407325 6142725 6228189 6306531 6396093 6605655 6783735 6854925 6952275 7039725 7234765 7507775 8599815 9733185 10002849 10128671 10380315 10510885 10660155 11009425 11306225 13022577 13513995 14154975 14333025 14532441 14536575 14924217 15916483 16221975 16671415 17300525 17766925 18919593 19816965 20351205 20564775 21119175 21704295 22523325 23339981 24220735 24873695 30008547 30386013 31140945 31532655 31980465 33028275 33918675 36173825 36677113 42999075 43597323 44772651 47749449 48665925 50014245 50643355 51901575 52554425 53300775 65112885 67569975 70019943 72662205 74621085 76688509 79582415 83357075 91158039 94597965 99084825 101756025 108521475 110031339 111415381 116699905 121103675 124368475 143248347 150042735 151930065 155704725 157663275 159902325 183385565 210059829 217986615 223863255 230065527 238747245 250071225 253216775 256739791 325564425 330094017 334246143 350099715 363311025 373105425 383442545 397912075 455790195 472989825 536819563 550156695 557076905 583499525 690196581 716241735 750213675 759650325 770219373 843573599 916927825 1002738429 1050299145 1089933075 1119316275 1150327635 1193736225 1283698955 1610458689 1650470085 1671230715 1750498575 1917212725 2278950975 2310658119 2530720797 2684097815 2750783475 2785384525 3450982905 3581208675 3851096865 4217867995 4831376067 5013692145 5251495725 5751638175 5905015193 6418494775 7592162391 8052293445 8252350425 8356153575 11553290595 12653603985 13420489075 17254914525 17715045579 19255484325 21089339975 24156880335 25068460725 29525075965 37960811955 40261467225 53145136737 57766452975 63268019925 88575227895 120784401675 147625379825 189804059775 265725683685 442876139475 1328628418425
- Sum of all divisors σ(n): 3158095868928
- Sum of proper divisors (its aliquot sum) s(n): 1829467450503
- 1328628418425 is an abundant number, because the sum of its proper divisors (1829467450503) is greater than itself. Its abundance is 500839032078
Bases of 1328628418425
- Binary: 100110101010110000110110011000111011110012
- Hexadecimal: 0x135586CC779
- Base-36: GYD320S9
Squares and roots of 1328628418425
- 1328628418425 squared (13286284184252) is 1765253474246516879480625
- 1328628418425 cubed (13286284184253) is 2345365931607386190149409129180515625
-
The
square root of 1328628418425 is 1152661.4500472375 -
The
cube root of 1328628418425 is 10993.4628332349
Scales and comparisons
How big is 1328628418425?- 1,328,628,418,425 seconds is equal to 42,246 years, 14 weeks, 1 day, 17 hours, 33 minutes, 45 seconds.
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To count from 1 to 1,328,628,418,425 would take you about one hundred five thousand, six hundred fifteen 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 1328628418425 cubic inches would be around 916.1 feet tall.
Recreational maths with 1328628418425
- 1328628418425 backwards is 5248148268231
- The number of decimal digits it has is: 13
- The sum of 1328628418425's digits is 54
- More coming soon!
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