122009680
122,009,680 is an even composite number composed of six prime numbers multiplied together.
122009680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 122009680:
24 × 5 × 13 × 17 × 67 × 103
(2 × 2 × 2 × 2 × 5 × 13 × 17 × 67 × 103)See below for interesting mathematical facts about the number 122009680 from the Numbermatics database.
Names of 122009680
- Cardinal: 122009680 can be written as One hundred twenty-two million, nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.2200968 × 108
Factors of 122009680
Divisors of 122009680
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 67 68 80 85 103 104 130 134 136 170 206 208 221 260 268 272 335 340 412 442 515 520 536 670 680 824 871 884 1030 1040 1072 1105 1139 1339 1340 1360 1648 1742 1751 1768 2060 2210 2278 2678 2680 3484 3502 3536 4120 4355 4420 4556 5356 5360 5695 6695 6901 6968 7004 8240 8710 8755 8840 9112 10712 11390 13390 13802 13936 14008 14807 17420 17510 17680 18224 21424 22763 22780 26780 27604 28016 29614 34505 34840 35020 45526 45560 53560 55208 59228 69010 69680 70040 74035 89713 91052 91120 107120 110416 113815 117317 118456 138020 140080 148070 179426 182104 227630 234634 236912 276040 296140 358852 364208 448565 455260 469268 552080 586585 592280 717704 897130 910520 938536 1173170 1184560 1435408 1525121 1794260 1821040 1877072 2346340 3050242 3588520 4692680 6100484 7177040 7625605 9385360 12200968 15251210 24401936 30502420 61004840 122009680
- Sum of all divisors σ(n): 331478784
- Sum of proper divisors (its aliquot sum) s(n): 209469104
- 122009680 is an abundant number, because the sum of its proper divisors (209469104) is greater than itself. Its abundance is 87459424
Bases of 122009680
- Binary: 1110100010110111000010100002
- Hexadecimal: 0x745B850
- Base-36: 20N39S
Squares and roots of 122009680
- 122009680 squared (1220096802) is 14886362013702400
- 122009680 cubed (1220096803) is 1816280265655985439232000
-
The
square root of 122009680 is 11045.7992015065 -
The
cube root of 122009680 is 495.9806834309
Scales and comparisons
How big is 122009680?- 122,009,680 seconds is equal to 3 years, 45 weeks, 5 days, 3 hours, 34 minutes, 40 seconds.
-
To count from 1 to 122,009,680 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 122009680 cubic inches would be around 41.3 feet tall.
Recreational maths with 122009680
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