138181328880
138,181,328,880 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138181328880 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
138181328880 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138181328880:
24 × 3 × 5 × 72 × 19 × 521 × 1187
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 19 × 521 × 1187)See below for interesting mathematical facts about the number 138181328880 from the Numbermatics database.
Names of 138181328880
- Cardinal: 138181328880 can be written as One hundred thirty-eight billion, one hundred eighty-one million, three hundred twenty-eight thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3818132888 × 1011
Factors of 138181328880
Divisors of 138181328880
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 49 56 57 60 70 76 80 84 95 98 105 112 114 120 133 140 147 152 168 190 196 210 228 240 245 266 280 285 294 304 336 380 392 399 420 456 490 521 532 560 570 588 665 735 760 784 798 840 912 931 980 1042 1064 1140 1176 1187 1330 1470 1520 1563 1596 1680 1862 1960 1995 2084 2128 2280 2352 2374 2605 2660 2793 2940 3126 3192 3561 3647 3724 3920 3990 4168 4560 4655 4748 5210 5320 5586 5880 5935 6252 6384 7122 7294 7448 7815 7980 8309 8336 9310 9496 9899 10420 10640 10941 11172 11760 11870 12504 13965 14244 14588 14896 15630 15960 16618 17805 18235 18620 18992 19798 20840 21882 22344 22553 23740 24927 25008 25529 27930 28488 29176 29697 31260 31920 33236 35610 36470 37240 39596 41545 41680 43764 44688 45106 47480 49495 49854 51058 54705 55860 56976 58163 58352 59394 62520 66472 67659 69293 71220 72940 74480 76587 79192 83090 87528 90212 94960 98990 99708 102116 109410 111720 112765 116326 118788 124635 125040 127645 132944 135318 138586 142440 145880 148485 153174 157871 158384 166180 174489 175056 180424 197980 199416 204232 207879 218820 223440 225530 232652 237576 249270 255290 270636 277172 284880 290815 291760 296970 306348 315742 332360 338295 346465 348978 360848 382935 395960 398832 408464 415758 437640 451060 465304 473613 475152 485051 498540 510580 541272 554344 581630 593940 612696 618427 631484 664720 676590 692930 697956 765870 789355 791920 831516 872445 875280 902120 930608 947226 970102 997080 1021160 1039395 1082544 1105097 1108688 1163260 1187880 1225392 1236854 1262968 1353180 1385860 1395912 1455153 1531740 1578710 1663032 1744890 1804240 1855281 1894452 1940204 1994160 2042320 2078790 2210194 2326520 2368065 2375760 2425255 2473708 2525936 2706360 2771720 2791824 2910306 3063480 3092135 3157420 3315291 3326064 3489780 3710562 3788904 3880408 4157580 4328989 4420388 4653040 4736130 4850510 4947416 5412720 5525485 5543440 5820612 6126960 6184270 6314840 6630582 6979560 7275765 7421124 7577808 7760816 8315160 8657978 8840776 9276405 9472260 9701020 9894832 11050970 11641224 11750113 12368540 12629680 12986967 13261164 13959120 14551530 14842248 16576455 16630320 17315956 17681552 18552810 18944520 19402040 21644945 22101940 23282448 23500226 24737080 25973934 26522328 29103060 29684496 30302923 33152910 34631912 35250339 37105620 37889040 38804080 43289890 44203880 47000452 49474160 51947868 53044656 58206120 58750565 60605846 64934835 66305820 69263824 70500678 74211240 82250791 86579780 88407760 90908769 94000904 103895736 116412240 117501130 121211692 129869670 132611640 141001356 148422480 151514615 164501582 173159560 176251695 181817538 188001808 207791472 235002260 242423384 246752373 259739340 265223280 282002712 303029230 329003164 346319120 352503390 363635076 411253955 454543845 470004520 484846768 493504746 519478680 564005424 575755537 606058460 658006328 705006780 727270152 822507910 909087690 940009040 987009492 1038957360 1151511074 1212116920 1233761865 1316012656 1410013560 1454540304 1645015820 1727266611 1818175380 1974018984 2303022148 2424233840 2467523730 2820027120 2878777685 3290031640 3454533222 3636350760 3948037968 4606044296 4935047460 5757555370 6580063280 6909066444 7272701520 8636333055 9212088592 9870094920 11515110740 13818132888 17272666110 19740189840 23030221480 27636265776 34545332220 46060442960 69090664440 138181328880
- Sum of all divisors σ(n): 525974549760
- Sum of proper divisors (its aliquot sum) s(n): 387793220880
- 138181328880 is an abundant number, because the sum of its proper divisors (387793220880) is greater than itself. Its abundance is 249611892000
Bases of 138181328880
- Binary: 100000001011000011111110111111111100002
- Hexadecimal: 0x202C3FBFF0
- Base-36: 1RH9LFQO
Squares and roots of 138181328880
- 138181328880 squared (1381813288802) is 19094079651042722054400
- 138181328880 cubed (1381813288803) is 2638445299921650011129475651072000
-
The
square root of 138181328880 is 371727.4927685603 -
The
cube root of 138181328880 is 5169.9116531663
Scales and comparisons
How big is 138181328880?- 138,181,328,880 seconds is equal to 4,393 years, 38 weeks, 2 days, 22 hours, 28 minutes.
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To count from 1 to 138,181,328,880 would take you about eight thousand, seven hundred eighty-seven 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 138181328880 cubic inches would be around 430.8 feet tall.
Recreational maths with 138181328880
- 138181328880 backwards is 088823181831
- The number of decimal digits it has is: 12
- The sum of 138181328880's digits is 51
- More coming soon!
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