122990400
122,990,400 is an even composite number composed of five prime numbers multiplied together.
122990400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 122990400:
26 × 34 × 52 × 13 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 73)See below for interesting mathematical facts about the number 122990400 from the Numbermatics database.
Names of 122990400
- Cardinal: 122990400 can be written as One hundred twenty-two million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.229904 × 108
Factors of 122990400
Divisors of 122990400
- Number of divisors d(n): 420
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 73 75 78 80 81 90 96 100 104 108 117 120 130 135 144 146 150 156 160 162 180 192 195 200 208 216 219 225 234 240 260 270 288 292 300 312 320 324 325 351 360 365 390 400 405 416 432 438 450 468 480 520 540 576 584 585 600 624 648 650 657 675 702 720 730 780 800 810 832 864 876 900 936 949 960 975 1040 1053 1080 1095 1168 1170 1200 1248 1296 1300 1314 1350 1404 1440 1460 1560 1600 1620 1728 1752 1755 1800 1825 1872 1898 1950 1971 2025 2080 2106 2160 2190 2336 2340 2400 2496 2592 2600 2628 2700 2808 2847 2880 2920 2925 3120 3240 3285 3504 3510 3600 3650 3744 3796 3900 3942 4050 4160 4212 4320 4380 4672 4680 4745 4800 5184 5200 5256 5265 5400 5475 5616 5694 5840 5850 5913 6240 6480 6570 7008 7020 7200 7300 7488 7592 7800 7884 8100 8424 8541 8640 8760 8775 9360 9490 9855 10400 10512 10530 10800 10950 11232 11388 11680 11700 11826 12480 12960 13140 14016 14040 14235 14400 14600 15184 15600 15768 16200 16425 16848 17082 17520 17550 18720 18980 19710 20800 21024 21060 21600 21900 22464 22776 23360 23400 23652 23725 25623 25920 26280 26325 28080 28470 29200 29565 30368 31200 31536 32400 32850 33696 34164 35040 35100 37440 37960 39420 42048 42120 42705 43200 43800 45552 46800 47304 47450 49275 51246 52560 52650 56160 56940 58400 59130 60736 62400 63072 64800 65700 67392 68328 70080 70200 71175 75920 76869 78840 84240 85410 87600 91104 93600 94608 94900 98550 102492 105120 105300 112320 113880 116800 118260 126144 128115 129600 131400 136656 140400 142350 147825 151840 153738 157680 168480 170820 175200 182208 187200 189216 189800 197100 204984 210240 210600 213525 227760 236520 256230 262800 273312 280800 284700 295650 303680 307476 315360 336960 341640 350400 378432 379600 384345 394200 409968 421200 427050 455520 473040 512460 525600 546624 561600 569400 591300 614952 630720 640575 683280 759200 768690 788400 819936 842400 854100 911040 946080 1024920 1051200 1138800 1182600 1229904 1281150 1366560 1518400 1537380 1576800 1639872 1684800 1708200 1892160 1921725 2049840 2277600 2365200 2459808 2562300 2733120 3074760 3153600 3416400 3843450 4099680 4555200 4730400 4919616 5124600 6149520 6832800 7686900 8199360 9460800 10249200 12299040 13665600 15373800 20498400 24598080 30747600 40996800 61495200 122990400
- Sum of all divisors σ(n): 493526572
- Sum of proper divisors (its aliquot sum) s(n): 370536172
- 122990400 is an abundant number, because the sum of its proper divisors (370536172) is greater than itself. Its abundance is 247545772
Bases of 122990400
- Binary: 1110101010010101111010000002
- Hexadecimal: 0x754AF40
- Base-36: 218400
Squares and roots of 122990400
- 122990400 squared (1229904002) is 15126638492160000
- 122990400 cubed (1229904003) is 1860431318806155264000000
-
The
square root of 122990400 is 11090.1036965395 -
The
cube root of 122990400 is 497.3060446101
Scales and comparisons
How big is 122990400?- 122,990,400 seconds is equal to 3 years, 47 weeks, 2 days, 12 hours.
-
To count from 1 to 122,990,400 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 122990400 cubic inches would be around 41.4 feet tall.
Recreational maths with 122990400
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