138322419120
138,322,419,120 is an even composite number composed of six prime numbers multiplied together.
138322419120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138322419120:
24 × 33 × 5 × 312 × 37 × 1801
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 31 × 31 × 37 × 1801)See below for interesting mathematical facts about the number 138322419120 from the Numbermatics database.
Names of 138322419120
- Cardinal: 138322419120 can be written as One hundred thirty-eight billion, three hundred twenty-two million, four hundred nineteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3832241912 × 1011
Factors of 138322419120
Divisors of 138322419120
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 37 40 45 48 54 60 62 72 74 80 90 93 108 111 120 124 135 144 148 155 180 185 186 216 222 240 248 270 279 296 310 333 360 370 372 432 444 465 496 540 555 558 592 620 666 720 740 744 837 888 930 961 999 1080 1110 1116 1147 1240 1332 1395 1480 1488 1665 1674 1776 1801 1860 1922 1998 2160 2220 2232 2294 2480 2664 2790 2883 2960 3330 3348 3441 3602 3720 3844 3996 4185 4440 4464 4588 4805 4995 5328 5403 5580 5735 5766 6660 6696 6882 7204 7440 7688 7992 8370 8649 8880 9005 9176 9610 9990 10323 10806 11160 11470 11532 13320 13392 13764 14408 14415 15376 15984 16209 16740 17205 17298 18010 18352 19220 19980 20646 21612 22320 22940 23064 25947 26640 27015 27528 28816 28830 30969 32418 33480 34410 34596 35557 36020 38440 39960 41292 43224 43245 45880 46128 48627 51615 51894 54030 55056 55831 57660 61938 64836 66637 66960 68820 69192 71114 72040 76880 79920 81045 82584 86448 86490 91760 97254 103230 103788 106671 108060 111662 115320 123876 129672 129735 133274 137640 138384 142228 144080 154845 162090 165168 167493 172980 177785 194508 199911 206460 207576 213342 216120 223324 230640 243135 247752 259344 259470 266548 275280 279155 284456 309690 320013 324180 333185 334986 345960 355570 389016 399822 412920 415152 426684 432240 446648 486270 495504 502479 518940 533096 533355 558310 568912 599733 619380 640026 648360 666370 669972 691920 711140 778032 799644 825840 837465 853368 893296 960039 972540 999555 1004958 1037880 1066192 1066710 1116620 1199466 1238760 1280052 1296720 1332740 1339944 1422280 1507437 1599288 1600065 1674930 1706736 1730761 1799199 1920078 1945080 1999110 2009916 2065747 2075760 2133420 2233240 2398932 2477520 2512395 2560104 2665480 2679888 2844560 2998665 3014874 3198576 3200130 3349860 3461522 3598398 3840156 3890160 3998220 4019832 4131494 4266840 4466480 4797864 4800195 5024790 5120208 5192283 5330960 5997330 6029748 6197241 6400260 6699720 6923044 7196796 7537185 7680312 7996440 8039664 8262988 8533680 8653805 8995995 9595728 9600390 10049580 10328735 10384566 11994660 12059496 12394482 12800520 13399440 13846088 14393592 15074370 15360624 15576849 15992880 16525976 17307610 17991990 18591723 19200780 20099160 20657470 20769132 23989320 24118992 24788964 25601040 25961415 27692176 28787184 30148740 30986205 31153698 33051952 34615220 35983980 37183446 38401560 40198320 41314940 41538264 46730547 47978640 49577928 51922830 55775169 60297480 61972410 62307396 64038157 69230440 71967960 74366892 76803120 77884245 82629880 83076528 92958615 93461094 99155856 103845660 111550338 120594960 123944820 124614792 128076314 138460880 143935920 148733784 155768490 165259760 185917230 186922188 192114471 207691320 223100676 233652735 247889640 249229584 256152628 278875845 297467568 311536980 320190785 371834460 373844376 384228942 415382640 446201352 467305470 495779280 512305256 557751690 576343413 623073960 640381570 743668920 747688752 768457884 892402704 934610940 960572355 1024610512 1115503380 1152686826 1246147920 1280763140 1487337840 1536915768 1729030239 1869221880 1921144710 2231006760 2305373652 2561526280 2881717065 3073831536 3458060478 3738443760 3842289420 4462013520 4610747304 5123052560 5763434130 6916120956 7684578840 8645151195 9221494608 11526868260 13832241912 15369157680 17290302390 23053736520 27664483824 34580604780 46107473040 69161209560 138322419120
- Sum of all divisors σ(n): 505895209920
- Sum of proper divisors (its aliquot sum) s(n): 367572790800
- 138322419120 is an abundant number, because the sum of its proper divisors (367572790800) is greater than itself. Its abundance is 229250371680
Bases of 138322419120
- Binary: 100000001101001010100010011101101100002
- Hexadecimal: 0x2034A89DB0
- Base-36: 1RJLLHO0
Squares and roots of 138322419120
- 138322419120 squared (1383224191202) is 19133091631208941574400
- 138322419120 cubed (1383224191203) is 2646535519673447688745749462528000
-
The
square root of 138322419120 is 371917.2207897883 -
The
cube root of 138322419120 is 5171.6706364837
Scales and comparisons
How big is 138322419120?- 138,322,419,120 seconds is equal to 4,398 years, 11 weeks, 4 days, 22 hours, 12 minutes.
-
To count from 1 to 138,322,419,120 would take you about eight thousand, seven hundred ninety-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 138322419120 cubic inches would be around 431 feet tall.
Recreational maths with 138322419120
- 138322419120 backwards is 021914223831
- 138322419120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138322419120's digits is 36
- More coming soon!
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