138677641920
138,677,641,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 138677641920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
138677641920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138677641920:
26 × 33 × 5 × 31 × 43 × 12041
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 31 × 43 × 12041)See below for interesting mathematical facts about the number 138677641920 from the Numbermatics database.
Names of 138677641920
- Cardinal: 138677641920 can be written as One hundred thirty-eight billion, six hundred seventy-seven million, six hundred forty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3867764192 × 1011
Factors of 138677641920
Divisors of 138677641920
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 43 45 48 54 60 62 64 72 80 86 90 93 96 108 120 124 129 135 144 155 160 172 180 186 192 215 216 240 248 258 270 279 288 310 320 344 360 372 387 430 432 465 480 496 516 540 558 576 620 645 688 720 744 774 837 860 864 930 960 992 1032 1080 1116 1161 1240 1290 1333 1376 1395 1440 1488 1548 1674 1720 1728 1860 1935 1984 2064 2160 2232 2322 2480 2580 2666 2752 2790 2880 2976 3096 3348 3440 3720 3870 3999 4128 4185 4320 4464 4644 4960 5160 5332 5580 5805 5952 6192 6665 6696 6880 7440 7740 7998 8256 8370 8640 8928 9288 9920 10320 10664 11160 11610 11997 12041 12384 13330 13392 13760 14880 15480 15996 16740 17856 18576 19995 20640 21328 22320 23220 23994 24082 24768 26660 26784 29760 30960 31992 33480 35991 36123 37152 39990 41280 42656 44640 46440 47988 48164 53320 53568 59985 60205 61920 63984 66960 71982 72246 74304 79980 85312 89280 92880 95976 96328 106640 108369 119970 120410 123840 127968 133920 143964 144492 159960 179955 180615 185760 191952 192656 213280 216738 239940 240820 255936 267840 287928 288984 319920 325107 359910 361230 371520 373271 383904 385312 426560 433476 479880 481640 517763 541845 575856 577968 639840 650214 719820 722460 746542 767808 770624 866952 959760 963280 1035526 1083690 1119813 1151712 1155936 1279680 1300428 1439640 1444920 1493084 1553289 1625535 1733904 1866355 1919520 1926560 2071052 2167380 2239626 2303424 2311872 2588815 2600856 2879280 2889840 2986168 3106578 3251070 3359439 3467808 3732710 3839040 3853120 4142104 4334760 4479252 4659867 5177630 5201712 5599065 5758560 5779680 5972336 6213156 6502140 6718878 6935616 7465420 7766445 8284208 8669520 8958504 9319734 10078317 10355260 10403424 11198130 11517120 11559360 11944672 12426312 13004280 13437756 13979601 14930840 15532890 16050653 16568416 16797195 17339040 17917008 18639468 20156634 20710520 20806848 22396260 23299335 23889344 24852624 26008560 26875512 27959202 29861680 31065780 32101306 33136832 33594390 34678080 35834016 37278936 40313268 41421040 44792520 46598670 48151959 49705248 50391585 52017120 53751024 55918404 59723360 62131560 64202612 67188780 69898005 71668032 74557872 80253265 80626536 82842080 89585040 93197340 96303918 99410496 100783170 104034240 107502048 111836808 119446720 124263120 128405224 134377560 139796010 144455877 149115744 160506530 161253072 165684160 179170080 186394680 192607836 201566340 215004096 223673616 240759795 248526240 256810448 268755120 279592020 288911754 298231488 321013060 322506144 358340160 372789360 385215672 403132680 433367631 447347232 481519590 497052480 513620896 537510240 559184040 577823508 642026120 645012288 722279385 745578720 770431344 806265360 866735262 894694464 963039180 1027241792 1075020480 1118368080 1155647016 1284052240 1444558770 1491157440 1540862688 1612530720 1733470524 1926078360 2166838155 2236736160 2311294032 2568104480 2889117540 3081725376 3225061440 3466941048 3852156720 4333676310 4473472320 4622588064 5136208960 5778235080 6933882096 7704313440 8667352620 9245176128 11556470160 13867764192 15408626880 17334705240 23112940320 27735528384 34669410480 46225880640 69338820960 138677641920
- Sum of all divisors σ(n): 516792545280
- Sum of proper divisors (its aliquot sum) s(n): 378114903360
- 138677641920 is an abundant number, because the sum of its proper divisors (378114903360) is greater than itself. Its abundance is 239437261440
Bases of 138677641920
- Binary: 100000010010011101010011100010110000002
- Hexadecimal: 0x2049D4E2C0
- Base-36: 1RPH35C0
Squares and roots of 138677641920
- 138677641920 squared (1386776419202) is 19231488368491741286400
- 138677641920 cubed (1386776419203) is 2666977457554342708592659365888000
-
The
square root of 138677641920 is 372394.4708504681 -
The
cube root of 138677641920 is 5176.0939371897
Scales and comparisons
How big is 138677641920?- 138,677,641,920 seconds is equal to 4,409 years, 27 weeks, 7 hours, 12 minutes.
-
To count from 1 to 138,677,641,920 would take you about eight thousand, eight hundred nineteen 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 138677641920 cubic inches would be around 431.3 feet tall.
Recreational maths with 138677641920
- 138677641920 backwards is 029146776831
- 138677641920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138677641920's digits is 54
- More coming soon!
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