117258120
117,258,120 is an even composite number composed of seven prime numbers multiplied together.
117258120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 117258120:
23 × 32 × 5 × 7 × 19 × 31 × 79
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 31 × 79)See below for interesting mathematical facts about the number 117258120 from the Numbermatics database.
Names of 117258120
- Cardinal: 117258120 can be written as One hundred seventeen million, two hundred fifty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.1725812 × 108
Factors of 117258120
Divisors of 117258120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 19 20 21 24 28 30 31 35 36 38 40 42 45 56 57 60 62 63 70 72 76 79 84 90 93 95 105 114 120 124 126 133 140 152 155 158 168 171 180 186 190 210 217 228 237 248 252 266 279 280 285 310 315 316 342 360 372 380 395 399 420 434 456 465 474 504 532 553 558 570 589 620 630 632 651 665 684 711 744 760 790 798 840 855 868 930 948 1064 1085 1106 1116 1140 1178 1185 1197 1240 1260 1302 1330 1368 1395 1422 1501 1580 1596 1659 1710 1736 1767 1860 1896 1953 1995 2170 2212 2232 2280 2356 2370 2394 2449 2520 2604 2660 2765 2790 2844 2945 3002 3160 3192 3255 3318 3420 3534 3555 3720 3906 3990 4123 4340 4424 4503 4712 4740 4788 4898 4977 5208 5301 5320 5530 5580 5688 5890 5985 6004 6510 6636 6840 7068 7110 7347 7505 7812 7980 8246 8295 8680 8835 9006 9480 9576 9765 9796 9954 10507 10602 11060 11160 11780 11970 12008 12245 12369 13020 13272 13509 14136 14220 14694 15010 15624 15960 16492 16590 17143 17670 18012 19530 19592 19908 20615 21014 21204 22041 22120 22515 23560 23940 24490 24738 24885 26040 26505 27018 28440 29388 30020 31521 32984 33180 34286 35340 36024 36735 37107 39060 39816 41230 42028 42408 44082 45030 46531 47880 48980 49476 49770 51429 52535 53010 54036 58776 60040 61845 63042 66360 67545 68572 70680 73470 74214 78120 82460 84056 85715 88164 90060 93062 94563 97960 98952 99540 102858 105070 106020 108072 110205 123690 126084 135090 137144 139593 146940 148428 154287 157605 164920 171430 176328 180120 185535 186124 189126 199080 205716 210140 212040 220410 232655 247380 252168 257145 270180 279186 293880 296856 308574 315210 325717 342860 371070 372248 378252 411432 418779 420280 440820 465310 472815 494760 514290 540360 558372 617148 630420 651434 685720 697965 742140 756504 771435 837558 881640 930620 945630 977151 1028580 1116744 1234296 1260840 1302868 1395930 1484280 1542870 1628585 1675116 1861240 1891260 1954302 2057160 2093895 2605736 2791860 2931453 3085740 3257170 3350232 3782520 3908604 4187790 4885755 5583720 5862906 6171480 6514340 7817208 8375580 9771510 11725812 13028680 14657265 16751160 19543020 23451624 29314530 39086040 58629060 117258120
- Sum of all divisors σ(n): 479232000
- Sum of proper divisors (its aliquot sum) s(n): 361973880
- 117258120 is an abundant number, because the sum of its proper divisors (361973880) is greater than itself. Its abundance is 244715760
Bases of 117258120
- Binary: 1101111110100110111100010002
- Hexadecimal: 0x6FD3788
- Base-36: 1XT8Y0
Squares and roots of 117258120
- 117258120 squared (1172581202) is 13749466705934400
- 117258120 cubed (1172581203) is 1612236616940460587328000
-
The
square root of 117258120 is 10828.5788541249 -
The
cube root of 117258120 is 489.4567351233
Scales and comparisons
How big is 117258120?- 117,258,120 seconds is equal to 3 years, 37 weeks, 6 days, 3 hours, 42 minutes.
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To count from 1 to 117,258,120 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 117258120 cubic inches would be around 40.8 feet tall.
Recreational maths with 117258120
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