23380448000
23,380,448,000 is an even composite number composed of six prime numbers multiplied together.
23380448000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 23380448000:
28 × 53 × 72 × 13 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 31 × 37)See below for interesting mathematical facts about the number 23380448000 from the Numbermatics database.
Names of 23380448000
- Cardinal: 23380448000 can be written as Twenty-three billion, three hundred eighty million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 2.3380448 × 1010
Factors of 23380448000
Divisors of 23380448000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 37 40 49 50 52 56 62 64 65 70 74 80 91 98 100 104 112 124 125 128 130 140 148 155 160 175 182 185 196 200 208 217 224 245 248 250 256 259 260 280 296 310 320 325 350 364 370 392 400 403 416 434 448 455 481 490 496 500 518 520 560 592 620 637 640 650 700 728 740 775 784 800 806 832 868 875 896 910 925 962 980 992 1000 1036 1040 1085 1120 1147 1184 1225 1240 1274 1280 1295 1300 1400 1456 1480 1519 1550 1568 1600 1612 1625 1664 1736 1750 1792 1813 1820 1850 1924 1960 1984 2000 2015 2072 2080 2170 2240 2275 2294 2368 2405 2450 2480 2548 2590 2600 2800 2821 2912 2960 3038 3100 3136 3185 3200 3224 3250 3328 3367 3472 3500 3626 3640 3700 3848 3875 3920 3968 4000 4030 4144 4160 4340 4480 4550 4588 4625 4736 4810 4900 4960 5096 5180 5200 5425 5600 5642 5735 5824 5920 6076 6125 6200 6272 6370 6400 6448 6475 6500 6734 6944 7000 7252 7280 7400 7595 7696 7750 7840 7936 8000 8029 8060 8288 8320 8680 8960 9065 9100 9176 9250 9472 9620 9800 9920 10075 10192 10360 10400 10850 11200 11284 11375 11470 11648 11840 12025 12152 12250 12400 12544 12740 12896 12950 13000 13468 13888 14000 14105 14504 14560 14800 14911 15190 15392 15500 15680 15925 16000 16058 16120 16576 16640 16835 17360 18130 18200 18352 18500 19240 19600 19747 19840 20150 20384 20720 20800 21700 22400 22568 22750 22940 23296 23569 23680 24050 24304 24500 24800 25480 25792 25900 26000 26936 27125 27776 28000 28210 28675 29008 29120 29600 29822 30380 30784 31000 31360 31850 32000 32116 32240 32375 33152 33670 34720 36260 36400 36704 37000 37975 38480 39200 39494 39680 40145 40300 40768 41440 41600 43400 44800 45136 45325 45500 45880 47138 47360 48100 48608 49000 49600 50375 50960 51584 51800 52000 53872 54250 55552 56000 56203 56420 57350 58016 58240 59200 59644 60125 60760 61568 62000 62720 63700 64232 64480 64750 66304 67340 69440 70525 72520 72800 73408 74000 74555 75950 76960 78400 78988 79625 80290 80600 81536 82880 83200 84175 86800 90272 90650 91000 91760 94276 96200 97216 98000 98735 99200 100750 101920 103168 103600 104000 104377 107744 108500 112000 112406 112840 114700 116032 116480 117845 118400 119288 120250 121520 123136 124000 127400 128464 128960 129500 134680 138880 141050 143375 145040 145600 146816 148000 149110 151900 153920 156800 157976 159250 160580 161200 163072 165760 168350 173600 180544 181300 182000 183520 188552 189875 192400 194432 196000 197470 198400 200725 201500 203840 207200 208000 208754 215488 217000 224000 224812 225680 226625 229400 232064 235690 236800 238576 240500 243040 248000 254800 256928 257920 259000 269360 277760 281015 282100 286750 290080 291200 293632 296000 298220 303800 307840 313600 315952 318500 321160 322400 331520 336700 347200 352625 361088 362600 364000 367040 372775 377104 379750 384800 388864 392000 394940 401450 403000 407680 414400 416000 417508 420875 430976 434000 449624 451360 453250 458800 464128 471380 477152 481000 486080 493675 496000 509600 513856 515840 518000 521885 538720 562030 564200 573500 580160 582400 589225 592000 596440 607600 615680 631904 637000 642320 644800 673400 694400 705250 722176 725200 728000 730639 734080 745550 754208 759500 769600 784000 789880 802900 806000 815360 828800 835016 841750 861952 868000 899248 902720 906500 917600 942760 954304 962000 972160 987350 992000 1003625 1019200 1027712 1036000 1043770 1077440 1124060 1128400 1147000 1160320 1178450 1184000 1192880 1215200 1263808 1274000 1284640 1289600 1346800 1388800 1405075 1410500 1450400 1456000 1461278 1468160 1491100 1508416 1519000 1539200 1568000 1579760 1605800 1612000 1657600 1670032 1683500 1736000 1798496 1805440 1813000 1835200 1863875 1885520 1908608 1924000 1944320 1974700 2007250 2038400 2055424 2072000 2087540 2154880 2248120 2256800 2294000 2320640 2356900 2385760 2430400 2468375 2527616 2548000 2569280 2579200 2609425 2693600 2810150 2821000 2900800 2912000 2922556 2946125 2982200 3016832 3038000 3078400 3159520 3211600 3224000 3340064 3367000 3472000 3596992 3610880 3626000 3653195 3670400 3727750 3771040 3817216 3848000 3949400 4014500 4076800 4144000 4175080 4309760 4496240 4513600 4588000 4713800 4771520 4860800 4936750 5055232 5096000 5138560 5218850 5387200 5620300 5642000 5801600 5845112 5892250 5964400 6033664 6076000 6319040 6423200 6448000 6680128 6734000 6944000 7025375 7193984 7252000 7306390 7340800 7455500 7542080 7696000 7898800 8029000 8288000 8350160 8992480 9027200 9176000 9427600 9543040 9721600 9873500 10192000 10277120 10437700 10774400 11240600 11284000 11603200 11690224 11784500 11928800 12152000 12638080 12846400 12896000 13047125 13360256 13468000 14050750 14387968 14504000 14612780 14911000 15084160 15392000 15797600 16058000 16700320 17984960 18054400 18265975 18352000 18855200 19086080 19747000 20384000 20875400 21548800 22481200 22568000 23380448 23569000 23857600 24304000 25276160 25692800 26094250 26720512 26936000 28101500 29008000 29225560 29822000 30168320 31595200 32116000 33400640 35969920 36531950 36704000 37710400 39494000 41750800 44962400 45136000 46760896 47138000 47715200 48608000 51385600 52188500 53872000 56203000 58016000 58451120 59644000 63190400 64232000 66801280 71939840 73063900 75420800 78988000 83501600 89924800 90272000 91329875 93521792 94276000 95430400 104377000 107744000 112406000 116902240 119288000 126380800 128464000 133602560 146127800 150841600 157976000 167003200 179849600 182659750 187043584 188552000 208754000 224812000 233804480 238576000 256928000 292255600 315952000 334006400 359699200 365319500 377104000 417508000 449624000 467608960 477152000 584511200 631904000 668012800 730639000 754208000 835016000 899248000 935217920 1169022400 1461278000 1670032000 1798496000 2338044800 2922556000 3340064000 4676089600 5845112000 11690224000 23380448000
- Sum of all divisors σ(n): 77353855488
- Sum of proper divisors (its aliquot sum) s(n): 53973407488
- 23380448000 is an abundant number, because the sum of its proper divisors (53973407488) is greater than itself. Its abundance is 30592959488
Bases of 23380448000
- Binary: 101011100011001010101010011000000002
- Hexadecimal: 0x571955300
- Base-36: AQO454W
Squares and roots of 23380448000
- 23380448000 squared (233804480002) is 546645348680704000000
- 23380448000 cubed (233804480003) is 12780813149271068475392000000000
-
The
square root of 23380448000 is 152906.6643413557 -
The
cube root of 23380448000 is 2859.4616490409
Scales and comparisons
How big is 23380448000?- 23,380,448,000 seconds is equal to 743 years, 22 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 23,380,448,000 would take you about one thousand, four hundred eighty-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 23380448000 cubic inches would be around 238.3 feet tall.
Recreational maths with 23380448000
- 23380448000 backwards is 00084408332
- 23380448000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 23380448000's digits is 32
- More coming soon!
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