138214159529472
138,214,159,529,472 is an even composite number composed of five prime numbers multiplied together.
What does the number 138214159529472 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
138214159529472 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138214159529472:
29 × 311 × 132 × 71 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 71 × 127)See below for interesting mathematical facts about the number 138214159529472 from the Numbermatics database.
Names of 138214159529472
- Cardinal: 138214159529472 can be written as One hundred thirty-eight trillion, two hundred fourteen billion, one hundred fifty-nine million, five hundred twenty-nine thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.38214159529472 × 1014
Factors of 138214159529472
Divisors of 138214159529472
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 71 72 78 81 96 104 108 117 127 128 142 144 156 162 169 192 208 213 216 234 243 254 256 284 288 312 324 338 351 381 384 416 426 432 468 486 507 508 512 568 576 624 639 648 676 702 729 762 768 832 852 864 923 936 972 1014 1016 1053 1136 1143 1152 1248 1278 1296 1352 1404 1458 1521 1524 1536 1651 1664 1704 1728 1846 1872 1917 1944 2028 2032 2106 2187 2272 2286 2304 2496 2556 2592 2704 2769 2808 2916 3042 3048 3159 3302 3328 3408 3429 3456 3692 3744 3834 3888 4056 4064 4212 4374 4544 4563 4572 4608 4953 4992 5112 5184 5408 5538 5616 5751 5832 6084 6096 6318 6561 6604 6656 6816 6858 6912 7384 7488 7668 7776 8112 8128 8307 8424 8748 9017 9088 9126 9144 9477 9906 9984 10224 10287 10368 10816 11076 11232 11502 11664 11999 12168 12192 12636 13122 13208 13632 13689 13716 13824 14768 14859 14976 15336 15552 16224 16256 16614 16848 17253 17496 18034 18176 18252 18288 18954 19683 19812 19968 20448 20574 20736 21463 21632 22152 22464 23004 23328 23998 24336 24384 24921 25272 26244 26416 27051 27264 27378 27432 28431 29536 29718 29952 30672 30861 31104 32448 32512 33228 33696 34506 34992 35997 36068 36352 36504 36576 37908 39366 39624 40896 41067 41148 41472 42926 43264 44304 44577 44928 46008 46656 47996 48672 48768 49842 50544 51759 52488 52832 54102 54528 54756 54864 56862 59049 59072 59436 59904 61344 61722 62208 64389 64896 65024 66456 67392 69012 69984 71994 72136 73008 73152 74763 75816 78732 79248 81153 81792 82134 82296 85293 85852 86528 88608 89154 89856 92016 92583 93312 95992 97344 97536 99684 101088 103518 104976 105664 107991 108204 109056 109512 109728 113724 117221 118098 118144 118872 122688 123201 123444 124416 128778 129792 132912 133731 134784 138024 139968 143988 144272 146016 146304 149526 151632 155277 157464 158496 162306 163584 164268 164592 170586 171704 177147 177216 178308 179712 184032 185166 186624 191984 193167 194688 195072 199368 202176 207036 209952 211328 215982 216408 219024 219456 224289 227448 234442 236196 236288 237744 243459 245376 246402 246888 255879 257556 259584 265824 267462 269568 276048 277749 279936 287976 288544 292032 292608 299052 303264 310554 314928 316992 323973 324612 327168 328536 329184 341172 343408 351663 354294 354432 356616 368064 369603 370332 373248 383968 386334 389376 398736 401193 404352 414072 419904 422656 431964 432816 438048 438912 448578 454896 465831 468884 472392 472576 475488 486918 490752 492804 493776 511758 515112 531648 534924 539136 552096 555498 559872 575952 577088 579501 584064 585216 598104 606528 621108 629856 633984 647946 649224 657072 658368 672867 682344 686816 703326 708588 708864 713232 730377 736128 739206 740664 767637 767936 772668 778752 797472 802386 808704 828144 833247 839808 845312 863928 865632 876096 877824 897156 909792 931662 937768 944784 950976 971919 973836 981504 985608 987552 1023516 1030224 1054989 1063296 1069848 1104192 1108809 1110996 1119744 1151904 1154176 1159002 1168128 1196208 1203579 1213056 1242216 1259712 1267968 1295892 1298448 1314144 1316736 1345734 1364688 1373632 1397493 1406652 1417176 1417728 1426464 1460754 1472256 1478412 1481328 1523873 1535274 1535872 1545336 1594944 1604772 1617408 1656288 1666494 1679616 1727856 1731264 1738503 1752192 1755648 1794312 1819584 1863324 1875536 1889568 1901952 1943838 1947672 1971216 1975104 2018601 2047032 2060448 2109978 2126592 2139696 2191131 2208384 2217618 2221992 2302911 2303808 2308352 2318004 2336256 2392416 2407158 2426112 2484432 2499741 2519424 2535936 2591784 2596896 2628288 2633472 2691468 2729376 2747264 2794986 2813304 2834352 2852928 2915757 2921508 2944512 2956824 2962656 3047746 3070548 3071744 3090672 3164967 3189888 3209544 3312576 3326427 3332988 3359232 3455712 3462528 3477006 3504384 3588624 3610737 3639168 3726648 3751072 3779136 3803904 3887676 3895344 3942432 3950208 4037202 4094064 4120896 4192479 4219956 4253184 4279392 4382262 4416768 4435236 4443984 4571619 4605822 4607616 4616704 4636008 4784832 4814316 4852224 4968864 4999482 5038848 5183568 5193792 5215509 5256576 5266944 5382936 5458752 5494528 5589972 5626608 5668704 5705856 5831514 5843016 5913648 5925312 6055803 6095492 6141096 6143488 6181344 6329934 6379776 6419088 6573393 6625152 6652854 6665976 6911424 6925056 6954012 7008768 7177248 7221474 7278336 7453296 7499223 7502144 7558272 7607808 7775352 7790688 7884864 7900416 8074404 8188128 8241792 8384958 8439912 8558784 8747271 8764524 8833536 8870472 8887968 9143238 9211644 9215232 9272016 9494901 9569664 9628632 9937728 9979281 9998964 10077696 10367136 10387584 10431018 10513152 10765872 10832211 10917504 10989056 11179944 11253216 11337408 11411712 11663028 11686032 11827296 11850624 12111606 12190984 12282192 12362688 12577437 12659868 12759552 12838176 13146786 13250304 13305708 13331952 13714857 13822848 13850112 13908024 14354496 14442948 14556672 14906592 14998446 15004288 15116544 15550704 15581376 15646527 15769728 15800832 16148808 16376256 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177481611 178879104 179981352 180051456 186608448 186976512 187758324 189236736 193785696 194979798 195055744 196515072 201238992 202557888 205410816 209934504 210348576 212891328 213311232 218008908 219437712 222528384 227877624 231087168 236176317 236642148 238505472 239502744 239975136 246867426 248811264 250344432 256362327 258380928 259973064 268318656 270077184 279912672 280464768 281637486 283855104 290678544 292469697 292583616 294772608 296704512 303836832 308116224 314901756 315522864 319336992 319966848 327013362 329156568 333792576 341816436 344507904 346630752 354963222 357758208 359962704 370301139 373216896 373953024 375516648 387571392 389959596 390111488 393030144 402477984 405115776 419869008 420697152 422456229 425782656 426622464 436017816 438875424 445056768 455755248 462174336 472352634 473284296 479005488 479950272 493734852 497622528 500688864 512724654 516761856 519946128 532444833 536637312 540154368 559825344 560929536 563274972 567710208 581357088 584939394 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9301713408 9359030304 9998130753 10076856192 10096731648 10138949496 10464427584 10533010176 10938125952 11336463216 11358823104 11518806528 11849636448 12016532736 12305391696 12478707072 12778675992 13330841004 13435808256 13518599328 13843565658 13952570112 14584167936 15115284288 15145097472 15208424244 15328175616 15799515264 16407188928 16638276096 17004694824 17038234656 17774454672 18024799104 18458087544 18718060608 19996261506 20153712384 20277898992 20765348487 20928855168 21066020352 21876251904 22672926432 22717646208 23699272896 24033065472 24610783392 24957414144 25557351984 26661682008 27037198656 27687131316 27905140224 29994392259 30230568576 30290194944 30416848488 31599030528 32814377856 34009389648 34076469312 35548909344 36049598208 36916175088 37436121216 39992523012 40307424768 40555797984 41530696974 41857710336 43752503808 45345852864 45435292416 47398545792 49221566784 49914828288 51114703968 53323364016 54074397312 55374262632 59988784518 60461137152 60833696976 63198061056 65628755712 68018779296 68152938624 71097818688 72099196416 73832350176 74872242432 79985046024 81111595968 83061393948 83715420672 89983176777 90691705728 90870584832 94797091584 98443133568 102229407936 106646728032 108148794624 110748525264 119977569036 120922274304 121667393952 131257511424 136037558592 136305877248 142195637376 147664700352 149744484864 159970092048 162223191936 166122787896 179966353554 181383411456 189594183168 196886267136 204458815872 213293456064 216297589248 221497050528 239955138072 243334787904 269949530331 272075117184 272611754496 284391274752 295329400704 319940184096 324446383872 332245575792 359932707108 362766822912 393772534272 408917631744 426586912128 442994101056 479910276144 486669575808 539899060662 544150234368 568782549504 590658801408 639880368192 648892767744 664491151584 719865414216 817835263488 853173824256 885988202112 959820552288 973339151616 1079798121324 1088300468736 1181317602816 1279760736384 1328982303168 1439730828432 1706347648512 1771976404224 1919641104576 1946678303232 2159596242648 2559521472768 2657964606336 2879461656864 3543952808448 3839282209152 4319192485296 5119042945536 5315929212672 5758923313728 7678564418304 8638384970592 10631858425344 11517846627456 15357128836608 17276769941184 23035693254912 34553539882368 46071386509824 69107079764736 138214159529472
- Sum of all divisors σ(n): 458451537223680
- Sum of proper divisors (its aliquot sum) s(n): 320237377694208
- 138214159529472 is an abundant number, because the sum of its proper divisors (320237377694208) is greater than itself. Its abundance is 182023218164736
Bases of 138214159529472
- Binary: 111110110110100011111011110000110110110000000002
- Hexadecimal: 0x7DB47DE1B600
- Base-36: 1CZQPI0000
Squares and roots of 138214159529472
- 138214159529472 squared (1382141595294722) is 19103153894438335668436598784
- 138214159529472 cubed (1382141595294723) is 2640326359881954440568721808789445487362048
-
The
square root of 138214159529472 is 11756451.8256773375 -
The
cube root of 138214159529472 is 51703.2106235389
Scales and comparisons
How big is 138214159529472?- 138,214,159,529,472 seconds is equal to 4,394,782 years, 38 weeks, 6 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,214,159,529,472 would take you about ten million, nine hundred eighty-six thousand, nine hundred fifty-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 138214159529472 cubic inches would be around 4308.6 feet tall.
Recreational maths with 138214159529472
- 138214159529472 backwards is 274925951412831
- The number of decimal digits it has is: 15
- The sum of 138214159529472's digits is 63
- More coming soon!
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"Number 138214159529472 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138214159529472 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138214159529472/
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The information we have on file for 138214159529472 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!
Keywords: Divisors of 138214159529472, math, Factors of 138214159529472, curriculum, school, college, exams, university, Prime factorization of 138214159529472, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred fourteen billion, one hundred fifty-nine million, five hundred twenty-nine thousand, four hundred seventy-two.