138898947200
138,898,947,200 is an even composite number composed of seven prime numbers multiplied together.
138898947200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138898947200:
27 × 52 × 13 × 31 × 37 × 41 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 31 × 37 × 41 × 71)See below for interesting mathematical facts about the number 138898947200 from the Numbermatics database.
Names of 138898947200
- Cardinal: 138898947200 can be written as One hundred thirty-eight billion, eight hundred ninety-eight million, nine hundred forty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.388989472 × 1011
Factors of 138898947200
Divisors of 138898947200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 31 32 37 40 41 50 52 62 64 65 71 74 80 82 100 104 124 128 130 142 148 155 160 164 185 200 205 208 248 260 284 296 310 320 325 328 355 370 400 403 410 416 481 496 520 533 568 592 620 640 650 656 710 740 775 800 806 820 832 923 925 962 992 1025 1040 1066 1136 1147 1184 1240 1271 1300 1312 1420 1480 1517 1550 1600 1612 1640 1664 1775 1846 1850 1924 1984 2015 2050 2080 2132 2201 2272 2294 2368 2405 2480 2542 2600 2624 2627 2665 2840 2911 2960 3034 3100 3200 3224 3280 3550 3692 3700 3848 3968 4030 4100 4160 4264 4402 4544 4588 4615 4736 4810 4960 5084 5200 5248 5254 5330 5680 5735 5822 5920 6068 6200 6355 6448 6560 7100 7384 7400 7585 7696 8060 8200 8320 8528 8804 9088 9176 9230 9620 9920 10075 10168 10400 10508 10660 11005 11360 11470 11644 11840 12025 12136 12400 12710 12896 13120 13135 13325 14200 14555 14768 14800 14911 15170 15392 16120 16400 16523 17056 17608 18352 18460 19240 19721 19840 20150 20336 20800 21016 21320 22010 22720 22940 23075 23288 23680 24050 24272 24800 25420 25792 26240 26270 26650 28400 28613 28675 29110 29536 29600 29822 30340 30784 31775 32240 32800 33046 34112 34151 35216 36704 36920 37843 37925 38480 39442 40300 40672 41600 42032 42640 44020 45440 45880 46150 46576 47027 48100 48544 49600 50840 51584 52540 53300 55025 56800 57226 57350 58220 59072 59200 59644 60680 61568 63550 64480 65600 65675 66092 68224 68302 70432 72775 73408 73840 74555 75686 75850 76960 78884 80600 81344 81437 82615 84064 85280 88040 90241 91760 92300 93152 94054 96200 97088 98605 99200 101680 105080 106600 107707 110050 113600 114452 114700 116440 118144 118400 119288 121360 127100 128960 131200 131350 132184 136604 140864 143065 145550 146816 147680 149110 151372 151700 153920 157768 161200 162688 162874 165230 168128 170560 170755 176080 180482 183520 184600 186304 188108 189215 192400 194176 197210 203360 210160 213200 215414 220100 227200 228904 229400 232880 235135 238576 242720 254200 257920 262700 264368 273208 281728 286130 291100 295360 298220 302744 303400 307840 315536 322400 325748 330460 336256 341120 341510 352160 360964 367040 369200 372608 372775 376216 378430 384800 394420 406720 407185 413075 420320 426400 430828 440200 451205 457808 458800 465760 470270 477152 485440 493025 508400 525400 528736 538535 546416 572260 582200 590720 596440 605488 606800 611351 631072 644800 651496 660920 683020 704320 715325 721928 734080 738400 745550 752432 756860 769600 788840 813440 814370 826150 840640 852800 853775 861656 880400 902410 915616 917600 931520 940540 946075 954304 970880 986050 1016800 1050800 1057472 1058681 1077070 1092832 1144520 1164400 1173133 1175675 1192880 1210976 1213600 1222702 1262144 1289600 1302992 1321840 1366040 1400191 1408640 1430650 1443856 1476800 1491100 1504864 1513720 1539200 1577680 1628740 1652300 1681280 1705600 1707550 1723312 1760800 1804820 1831232 1835200 1863040 1881080 1892150 1908608 1972100 2033600 2035925 2101600 2114944 2117362 2154140 2185664 2256025 2289040 2328800 2346266 2351350 2385760 2421952 2427200 2445404 2524288 2605984 2643680 2692675 2732080 2800382 2861300 2887712 2953600 2982200 3009728 3027440 3056755 3155360 3257480 3304600 3338917 3415100 3446624 3521600 3609640 3662464 3670400 3762160 3784300 3944200 4067200 4071850 4203200 4234724 4308280 4371328 4512050 4578080 4657600 4692532 4702700 4771520 4843904 4854400 4890808 5211968 5287360 5293405 5385350 5464160 5600764 5722600 5775424 5865665 5964400 6019456 6054880 6113510 6310720 6514960 6609200 6677834 6830200 6893248 7000955 7043200 7219280 7524320 7568600 7888400 8143700 8406400 8469448 8616560 9024100 9156160 9315200 9385064 9405400 9543040 9781616 10423936 10574720 10586810 10770700 10928320 11201528 11445200 11550848 11731330 11928800 12109760 12227020 12621440 13029920 13218400 13355668 13660400 13786496 14001910 14438560 15048640 15137200 15283775 15776800 16287400 16694585 16938896 17233120 18048200 18312320 18770128 18810800 19563232 21173620 21541400 21856640 22403056 22890400 23462660 23857600 24219520 24454040 26059840 26436800 26467025 26711336 27320800 28003820 28877120 29328325 30097280 30274400 30567550 31553600 32574800 33389170 33877792 34466240 35004775 36096400 37540256 37621600 39126464 42347240 43082800 43405921 44806112 45780800 46925320 47715200 48908080 52119680 52873600 52934050 53422672 54641600 56007640 57754240 58656650 60548800 61135100 63107200 65149600 66778340 67755584 68932480 70009550 72192800 75080512 75243200 78252928 83472925 84694480 86165600 86811842 89612224 91561600 93850640 97816160 105868100 106845344 109283200 112015280 117313300 121097600 122270200 130299200 133556680 135511168 140019100 144385600 150161024 150486400 166945850 169388960 172331200 173623684 179224448 187701280 195632320 211736200 213690688 217029605 224030560 234626600 244540400 260598400 267113360 280038200 288771200 333891700 338777920 344662400 347247368 375402560 391264640 423472400 427381376 434059210 448061120 469253200 489080800 534226720 560076400 667783400 677555840 694494736 750805120 846944800 868118420 896122240 938506400 978161600 1068453440 1085148025 1120152800 1335566800 1388989472 1693889600 1736236840 1877012800 1956323200 2136906880 2170296050 2240305600 2671133600 2777978944 3387779200 3472473680 3754025600 4340592100 4480611200 5342267200 5555957888 6944947360 8681184200 10684534400 13889894720 17362368400 27779789440 34724736800 69449473600 138898947200
- Sum of all divisors σ(n): 406953953280
- Sum of proper divisors (its aliquot sum) s(n): 268055006080
- 138898947200 is an abundant number, because the sum of its proper divisors (268055006080) is greater than itself. Its abundance is 129156058880
Bases of 138898947200
- Binary: 100000010101110000010110111100100000002
- Hexadecimal: 0x205705BC80
- Base-36: 1RT4UHKW
Squares and roots of 138898947200
- 138898947200 squared (1388989472002) is 19292917533268387840000
- 138898947200 cubed (1388989472003) is 2679765933787400046017282048000000
-
The
square root of 138898947200 is 372691.4906460839 -
The
cube root of 138898947200 is 5178.8458542837
Scales and comparisons
How big is 138898947200?- 138,898,947,200 seconds is equal to 4,416 years, 28 weeks, 6 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,898,947,200 would take you about eight thousand, eight hundred thirty-three 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 138898947200 cubic inches would be around 431.6 feet tall.
Recreational maths with 138898947200
- 138898947200 backwards is 002749898831
- The number of decimal digits it has is: 12
- The sum of 138898947200's digits is 59
- More coming soon!
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