122968020
122,968,020 is an even composite number composed of seven prime numbers multiplied together.
122968020 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 122968020:
22 × 3 × 5 × 7 × 37 × 41 × 193
(2 × 2 × 3 × 5 × 7 × 37 × 41 × 193)See below for interesting mathematical facts about the number 122968020 from the Numbermatics database.
Names of 122968020
- Cardinal: 122968020 can be written as One hundred twenty-two million, nine hundred sixty-eight thousand and twenty.
Scientific notation
- Scientific notation: 1.2296802 × 108
Factors of 122968020
Divisors of 122968020
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 41 42 60 70 74 82 84 105 111 123 140 148 164 185 193 205 210 222 246 259 287 370 386 410 420 444 492 518 555 574 579 615 740 772 777 820 861 965 1036 1110 1148 1158 1230 1295 1351 1435 1517 1554 1722 1930 2220 2316 2460 2590 2702 2870 2895 3034 3108 3444 3860 3885 4053 4305 4551 5180 5404 5740 5790 6068 6755 7141 7585 7770 7913 8106 8610 9102 10619 11580 13510 14282 15170 15540 15826 16212 17220 18204 20265 21238 21423 22755 23739 27020 28564 30340 31652 31857 35705 39565 40530 42476 42846 45510 47478 49987 53095 55391 63714 71410 79130 81060 85692 91020 94956 99974 106190 107115 110782 118695 127428 142820 149961 158260 159285 166173 199948 212380 214230 221564 237390 249935 276955 292781 299922 318570 332346 428460 474780 499870 553910 585562 599844 637140 664692 749805 830865 878343 999740 1107820 1171124 1463905 1499610 1661730 1756686 2049467 2927810 2999220 3323460 3513372 4098934 4391715 5855620 6148401 8197868 8783430 10247335 12296802 17566860 20494670 24593604 30742005 40989340 61484010 122968020
- Sum of all divisors σ(n): 416134656
- Sum of proper divisors (its aliquot sum) s(n): 293166636
- 122968020 is an abundant number, because the sum of its proper divisors (293166636) is greater than itself. Its abundance is 170198616
Bases of 122968020
- Binary: 1110101010001010111110101002
- Hexadecimal: 0x75457D4
- Base-36: 217MQC
Squares and roots of 122968020
- 122968020 squared (1229680202) is 15121133942720400
- 122968020 cubed (1229680203) is 1859415901091121001608000
-
The
square root of 122968020 is 11089.0946429363 -
The
cube root of 122968020 is 497.2758786123
Scales and comparisons
How big is 122968020?- 122,968,020 seconds is equal to 3 years, 47 weeks, 2 days, 5 hours, 47 minutes.
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To count from 1 to 122,968,020 would take you about five 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 122968020 cubic inches would be around 41.4 feet tall.
Recreational maths with 122968020
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