980149968
980,149,968 is an even composite number composed of six prime numbers multiplied together.
980149968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 980149968:
24 × 32 × 7 × 23 × 67 × 631
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 23 × 67 × 631)See below for interesting mathematical facts about the number 980149968 from the Numbermatics database.
Names of 980149968
- Cardinal: 980149968 can be written as Nine hundred eighty million, one hundred forty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 9.80149968 × 108
Factors of 980149968
Divisors of 980149968
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 67 69 72 84 92 112 126 134 138 144 161 168 184 201 207 252 268 276 322 336 368 402 414 469 483 504 536 552 603 631 644 804 828 938 966 1008 1072 1104 1206 1262 1288 1407 1449 1541 1608 1656 1876 1893 1932 2412 2524 2576 2814 2898 3082 3216 3312 3752 3786 3864 4221 4417 4623 4824 5048 5628 5679 5796 6164 7504 7572 7728 8442 8834 9246 9648 10096 10787 11256 11358 11592 12328 13251 13869 14513 15144 16884 17668 18492 21574 22512 22716 23184 24656 26502 27738 29026 30288 32361 33768 35336 36984 39753 42277 43148 43539 45432 53004 55476 58052 64722 67536 70672 73968 79506 84554 86296 87078 90864 97083 101591 106008 110952 116104 126831 129444 130617 159012 169108 172592 174156 194166 203182 212016 221904 232208 253662 258888 261234 295939 304773 318024 338216 348312 380493 388332 406364 507324 517776 522468 591878 609546 636048 676432 696624 760986 776664 812728 887817 914319 972371 1014648 1044936 1183756 1219092 1521972 1553328 1625456 1775634 1828638 1944742 2029296 2089872 2367512 2438184 2663451 2917113 3043944 3551268 3657276 3889484 4735024 4876368 5326902 5834226 6087888 6806597 7102536 7314552 7778968 8751339 10653804 11668452 13613194 14205072 14629104 15557936 17502678 20419791 21307608 23336904 27226388 35005356 40839582 42615216 46673808 54452776 61259373 70010712 81679164 108905552 122518746 140021424 163358328 245037492 326716656 490074984 980149968
- Sum of all divisors σ(n): 3325310976
- Sum of proper divisors (its aliquot sum) s(n): 2345161008
- 980149968 is an abundant number, because the sum of its proper divisors (2345161008) is greater than itself. Its abundance is 1365011040
Bases of 980149968
- Binary: 1110100110101111100110110100002
- Hexadecimal: 0x3A6BE6D0
- Base-36: G7K0K0
Squares and roots of 980149968
- 980149968 squared (9801499682) is 960693959770401024
- 980149968 cubed (9801499683) is 941624153926751851020767232
-
The
square root of 980149968 is 31307.3468693851 -
The
cube root of 980149968 is 993.3390529627
Scales and comparisons
How big is 980149968?- 980,149,968 seconds is equal to 31 years, 8 weeks, 4 days, 7 hours, 52 minutes, 48 seconds.
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To count from 1 to 980,149,968 would take you about forty-six 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 980149968 cubic inches would be around 82.8 feet tall.
Recreational maths with 980149968
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