138455321804800
138,455,321,804,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138455321804800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
138455321804800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138455321804800:
217 × 52 × 7 × 11 × 132 × 17 × 191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 13 × 13 × 17 × 191)See below for interesting mathematical facts about the number 138455321804800 from the Numbermatics database.
Names of 138455321804800
- Cardinal: 138455321804800 can be written as One hundred thirty-eight trillion, four hundred fifty-five billion, three hundred twenty-one million, eight hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.384553218048 × 1014
Factors of 138455321804800
Divisors of 138455321804800
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 17 20 22 25 26 28 32 34 35 40 44 50 52 55 56 64 65 68 70 77 80 85 88 91 100 104 110 112 119 128 130 136 140 143 154 160 169 170 175 176 182 187 191 200 208 220 221 224 238 256 260 272 275 280 286 308 320 325 338 340 350 352 364 374 382 385 400 416 425 440 442 448 455 476 512 520 544 550 560 572 595 616 640 650 676 680 700 704 715 728 748 764 770 800 832 845 850 880 884 896 910 935 952 955 1001 1024 1040 1088 1100 1105 1120 1144 1183 1190 1232 1280 1300 1309 1337 1352 1360 1400 1408 1430 1456 1496 1528 1540 1547 1600 1664 1690 1700 1760 1768 1792 1820 1859 1870 1904 1910 1925 2002 2048 2080 2101 2176 2200 2210 2240 2275 2288 2366 2380 2431 2464 2483 2560 2600 2618 2674 2704 2720 2800 2816 2860 2873 2912 2975 2992 3056 3080 3094 3200 3247 3328 3380 3400 3520 3536 3575 3584 3640 3718 3740 3808 3820 3850 4004 4096 4160 4202 4225 4352 4400 4420 4480 4550 4576 4675 4732 4760 4775 4862 4928 4966 5005 5120 5200 5236 5348 5408 5440 5525 5600 5632 5720 5746 5824 5915 5950 5984 6112 6160 6188 6400 6494 6545 6656 6685 6760 6800 7040 7072 7150 7168 7280 7436 7480 7616 7640 7700 7735 8008 8192 8320 8404 8450 8704 8800 8840 8960 9100 9152 9295 9350 9464 9520 9550 9724 9856 9932 10010 10240 10400 10472 10505 10696 10816 10880 11050 11200 11264 11440 11492 11648 11830 11900 11968 12155 12224 12320 12376 12415 12800 12988 13013 13090 13312 13370 13520 13600 14080 14144 14300 14336 14365 14560 14707 14872 14960 15232 15280 15400 15470 16016 16235 16384 16640 16808 16900 17017 17381 17408 17600 17680 17920 18200 18304 18590 18700 18928 19040 19100 19448 19712 19864 20020 20111 20480 20800 20944 21010 21392 21632 21760 22100 22400 22528 22729 22880 22984 23296 23660 23800 23936 24310 24448 24640 24752 24830 25025 25600 25976 26026 26180 26624 26740 27040 27200 27313 28160 28288 28600 28672 28730 29120 29414 29575 29744 29920 30464 30560 30800 30940 31603 32032 32279 32470 32725 32768 33280 33425 33616 33800 34034 34762 34816 35200 35360 35717 35840 36400 36608 37180 37400 37856 38080 38200 38675 38896 39424 39728 40040 40222 40960 41600 41888 42020 42211 42784 43264 43520 44200 44800 45056 45458 45760 45968 46475 46592 47320 47600 47872 48620 48896 49280 49504 49660 50050 51200 51952 52052 52360 52525 53248 53480 54080 54400 54626 56320 56576 57200 57344 57460 58240 58828 59150 59488 59840 60775 60928 61120 61600 61880 62075 63206 64064 64558 64940 65065 65450 65536 66560 66850 67232 67600 68068 69524 69632 70400 70720 71434 71680 71825 72800 73216 73535 74360 74800 75712 76160 76400 77350 77792 78848 79456 80080 80444 81175 81920 83200 83776 84040 84422 85085 85568 86528 86905 87040 88400 89600 90112 90916 91520 91936 92950 93184 94640 95200 95744 97240 97792 98560 99008 99320 100100 100555 102400 103904 104104 104720 105050 106496 106960 108160 108800 109252 112640 113152 113645 114400 114688 114920 116480 117656 118300 118976 119680 121550 121856 122240 123200 123760 124150 126412 128128 129116 129880 130130 130900 131072 133120 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51778355200 52885913600 53252046848 54084110080 55761305600 56191283200 56954060800 58174504960 58518732800 60513689600 60859482112 61810411520 62649466880 62934237184 63628364800 65899724800 66565058560 67605137600 69158502400 71924842496 72489697280 72718131200 74040279040 74478387200 76074352640 77263014400 78311833600 78667796480 81444306944 81926225920 83206323200 86534576128 89499238400 89906053120 90612121600 92550348800 95092940800 96821903360 98334745600 98896658432 101805383680 102407782400 103556710400 105771827200 106504093696 108168220160 112382566400 116349009920 117037465600 121027379200 123620823040 125298933760 125868474368 127256729600 133130117120 135210275200 138317004800 144979394560 145436262400 148080558080 152148705280 154526028800 156623667200 157335592960 162888613888 163852451840 166412646400 173069152256 179812106240 181224243200 185100697600 190185881600 193643806720 196669491200 197793316864 203610767360 204815564800 213008187392 216336440320 224765132800 232698019840 242054758400 247241646080 251736948736 254513459200 266260234240 270420550400 290872524800 304297410560 309052057600 313247334400 314671185920 325777227776 332825292800 346138304512 359624212480 362448486400 370201395200 380371763200 393338982400 395586633728 407221534720 409631129600 426016374784 432672880640 449530265600 484109516800 494483292160 503473897472 509026918400 532520468480 540841100800 581745049600 618104115200 626494668800 629342371840 665650585600 692276609024 724896972800 740402790400 760743526400 786677964800 791173267456 814443069440 819262259200 865345761280 899060531200 968219033600 988966584320 1018053836800 1065040936960 1081682201600 1163490099200 1236208230400 1258684743680 1331301171200 1384553218048 1521487052800 1573355929600 1628886138880 1730691522560 1798121062400 1977933168640 2036107673600 2130081873920 2163364403200 2472416460800 2517369487360 2662602342400 2769106436096 3146711859200 3461383045120 3955866337280 4072215347200 4326728806400 4944832921600 5325204684800 5538212872192 6293423718400 6922766090240 8144430694400 8653457612800 9889665843200 10650409369600 12586847436800 13845532180480 17306915225600 19779331686400 27691064360960 34613830451200 69227660902400 138455321804800
- Sum of all divisors σ(n): 493396444606464
- Sum of proper divisors (its aliquot sum) s(n): 354941122801664
- 138455321804800 is an abundant number, because the sum of its proper divisors (354941122801664) is greater than itself. Its abundance is 216485800996864
Bases of 138455321804800
- Binary: 111110111101100101001000100011000000000000000002
- Hexadecimal: 0x7DECA4460000
- Base-36: 1D2THVSIKG
Squares and roots of 138455321804800
- 138455321804800 squared (1384553218048002) is 19169876136070726329303040000
- 138455321804800 cubed (1384553218048003) is 2654171369377828406936524659298926592000000
-
The
square root of 138455321804800 is 11766703.9482091159 -
The
cube root of 138455321804800 is 51733.2645121369
Scales and comparisons
How big is 138455321804800?- 138,455,321,804,800 seconds is equal to 4,402,450 years, 50 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,455,321,804,800 would take you about eleven million, six thousand, one hundred twenty-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 138455321804800 cubic inches would be around 4311.1 feet tall.
Recreational maths with 138455321804800
- 138455321804800 backwards is 008408123554831
- 138455321804800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138455321804800's digits is 52
- More coming soon!
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"Number 138455321804800 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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The information we have on file for 138455321804800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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