138077352
138,077,352 is an even composite number composed of six prime numbers multiplied together.
138077352 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138077352:
23 × 33 × 7 × 29 × 47 × 67
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 29 × 47 × 67)See below for interesting mathematical facts about the number 138077352 from the Numbermatics database.
Names of 138077352
- Cardinal: 138077352 can be written as One hundred thirty-eight million, seventy-seven thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 1.38077352 × 108
Factors of 138077352
Divisors of 138077352
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 47 54 56 58 63 67 72 84 87 94 108 116 126 134 141 168 174 188 189 201 203 216 232 252 261 268 282 329 348 376 378 402 406 423 469 504 522 536 564 603 609 658 696 756 783 804 812 846 938 987 1044 1128 1206 1218 1269 1316 1363 1407 1512 1566 1608 1624 1692 1809 1827 1876 1943 1974 2088 2412 2436 2538 2632 2726 2814 2961 3132 3149 3384 3618 3654 3752 3886 3948 4089 4221 4824 4872 5076 5452 5481 5628 5829 5922 6264 6298 7236 7308 7772 7896 8178 8442 8883 9447 9541 10152 10904 10962 11256 11658 11844 12267 12596 12663 13601 14472 14616 15544 16356 16884 17487 17766 18894 19082 21924 22043 23316 23688 24534 25192 25326 27202 28341 28623 32712 33768 34974 35532 36801 37788 38164 40803 43848 44086 46632 49068 50652 52461 54404 56682 57246 66129 69948 71064 73602 75576 76328 81606 85023 85869 88172 91321 98136 101304 104922 108808 113364 114492 122409 132258 139896 147204 163212 170046 171738 176344 182642 198387 209844 226728 228984 244818 257607 264516 273963 294408 326424 340092 343476 365284 367227 396774 419688 489636 515214 529032 547926 595161 639247 680184 686952 730568 734454 793548 821889 979272 1030428 1095852 1190322 1278494 1468908 1587096 1643778 1917741 2060856 2191704 2380644 2465667 2556988 2937816 3287556 3835482 4761288 4931334 5113976 5753223 6575112 7670964 9862668 11506446 15341928 17259669 19725336 23012892 34519338 46025784 69038676 138077352
- Sum of all divisors σ(n): 470016000
- Sum of proper divisors (its aliquot sum) s(n): 331938648
- 138077352 is an abundant number, because the sum of its proper divisors (331938648) is greater than itself. Its abundance is 193861296
Bases of 138077352
- Binary: 10000011101011100100101010002
- Hexadecimal: 0x83AE4A8
- Base-36: 2A7H60
Squares and roots of 138077352
- 138077352 squared (1380773522) is 19065355135331904
- 138077352 cubed (1380773523) is 2632493752026230945438208
-
The
square root of 138077352 is 11750.6319830041 -
The
cube root of 138077352 is 516.8614598603
Scales and comparisons
How big is 138077352?- 138,077,352 seconds is equal to 4 years, 20 weeks, 2 days, 2 hours, 49 minutes, 12 seconds.
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To count from 1 to 138,077,352 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 138077352 cubic inches would be around 43.1 feet tall.
Recreational maths with 138077352
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