132042400
132,042,400 is an even composite number composed of six prime numbers multiplied together.
132042400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 132042400:
25 × 52 × 7 × 17 × 19 × 73
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 17 × 19 × 73)See below for interesting mathematical facts about the number 132042400 from the Numbermatics database.
Names of 132042400
- Cardinal: 132042400 can be written as One hundred thirty-two million, forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.320424 × 108
Factors of 132042400
Divisors of 132042400
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 19 20 25 28 32 34 35 38 40 50 56 68 70 73 76 80 85 95 100 112 119 133 136 140 146 152 160 170 175 190 200 224 238 266 272 280 292 304 323 340 350 365 380 400 425 475 476 511 532 544 560 584 595 608 646 665 680 700 730 760 800 850 950 952 1022 1064 1120 1168 1190 1241 1292 1330 1360 1387 1400 1460 1520 1615 1700 1825 1900 1904 2044 2128 2261 2336 2380 2482 2555 2584 2660 2720 2774 2800 2920 2975 3040 3230 3325 3400 3650 3800 3808 4088 4256 4522 4760 4964 5110 5168 5320 5548 5600 5840 5950 6205 6460 6650 6800 6935 7300 7600 8075 8176 8687 9044 9520 9709 9928 10220 10336 10640 11096 11305 11680 11900 12410 12775 12920 13300 13600 13870 14600 15200 16150 16352 17374 18088 19040 19418 19856 20440 21280 22192 22610 23579 23800 24820 25550 25840 26600 27740 29200 31025 32300 34675 34748 36176 38836 39712 40880 43435 44384 45220 47158 47600 48545 49640 51100 51680 53200 55480 56525 58400 62050 64600 69350 69496 72352 77672 81760 86870 90440 94316 95200 97090 99280 102200 106400 110960 113050 117895 124100 129200 138700 138992 155344 165053 173740 180880 188632 194180 198560 204400 217175 221920 226100 235790 242725 248200 258400 277400 277984 310688 330106 347480 361760 377264 388360 408800 434350 452200 471580 485450 496400 554800 589475 660212 694960 754528 776720 825265 868700 904400 943160 970900 992800 1109600 1178950 1320424 1389920 1553440 1650530 1737400 1808800 1886320 1941800 2357900 2640848 3301060 3474800 3772640 3883600 4126325 4715800 5281696 6602120 6949600 7767200 8252650 9431600 13204240 16505300 18863200 26408480 33010600 66021200 132042400
- Sum of all divisors σ(n): 416223360
- Sum of proper divisors (its aliquot sum) s(n): 284180960
- 132042400 is an abundant number, because the sum of its proper divisors (284180960) is greater than itself. Its abundance is 152138560
Bases of 132042400
- Binary: 1111101111011001110101000002
- Hexadecimal: 0x7DECEA0
- Base-36: 26M4KG
Squares and roots of 132042400
- 132042400 squared (1320424002) is 17435195397760000
- 132042400 cubed (1320424003) is 2302185044789185024000000
-
The
square root of 132042400 is 11490.9703680759 -
The
cube root of 132042400 is 509.2188477155
Scales and comparisons
How big is 132042400?- 132,042,400 seconds is equal to 4 years, 10 weeks, 2 days, 6 hours, 26 minutes, 40 seconds.
-
To count from 1 to 132,042,400 would take you about 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 132042400 cubic inches would be around 42.4 feet tall.
Recreational maths with 132042400
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