31214433481728
31,214,433,481,728 is an even composite number composed of eight prime numbers multiplied together.
What does the number 31214433481728 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
31214433481728 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 31214433481728:
210 × 3 × 7 × 172 × 29 × 31 × 37 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 17 × 29 × 31 × 37 × 151)See below for interesting mathematical facts about the number 31214433481728 from the Numbermatics database.
Names of 31214433481728
- Cardinal: 31214433481728 can be written as Thirty-one trillion, two hundred fourteen billion, four hundred thirty-three million, four hundred eighty-one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 3.1214433481728 × 1013
Factors of 31214433481728
Divisors of 31214433481728
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 31 32 34 37 42 48 51 56 58 62 64 68 74 84 87 93 96 102 111 112 116 119 124 128 136 148 151 168 174 186 192 203 204 217 222 224 232 238 248 256 259 272 289 296 302 336 348 357 372 384 406 408 434 444 448 453 464 476 493 496 512 518 527 544 578 592 604 609 629 651 672 696 714 744 768 777 812 816 867 868 888 896 899 906 928 952 986 992 1024 1036 1054 1057 1073 1088 1147 1156 1184 1208 1218 1258 1302 1344 1392 1428 1479 1488 1536 1554 1581 1624 1632 1734 1736 1776 1792 1798 1812 1856 1887 1904 1972 1984 2023 2072 2108 2114 2146 2176 2294 2312 2368 2416 2436 2516 2567 2604 2688 2697 2784 2856 2958 2976 3072 3108 3162 3171 3219 3248 3264 3441 3451 3468 3472 3552 3584 3596 3624 3689 3712 3774 3808 3944 3968 4046 4144 4216 4228 4292 4352 4379 4403 4588 4624 4681 4736 4832 4872 5032 5134 5208 5376 5394 5568 5587 5712 5916 5952 6069 6216 6293 6324 6342 6438 6496 6528 6882 6902 6936 6944 7104 7168 7192 7248 7378 7424 7511 7548 7616 7701 7888 7936 8029 8092 8288 8381 8432 8456 8584 8704 8758 8806 8959 9176 9248 9362 9472 9664 9744 10064 10268 10353 10416 10693 10752 10788 11067 11136 11174 11424 11832 11904 12138 12432 12586 12648 12684 12876 12992 13056 13137 13209 13764 13804 13872 13888 14043 14208 14384 14496 14756 14848 15022 15096 15232 15283 15402 15776 15872 16058 16184 16576 16761 16762 16864 16912 17168 17408 17516 17612 17918 17969 18241 18352 18496 18724 18879 18944 19328 19488 19499 20128 20536 20706 20832 21386 21504 21576 22134 22272 22348 22533 22848 23664 23808 24087 24276 24864 25143 25172 25296 25368 25752 25984 26112 26274 26418 26877 27528 27608 27744 27776 28086 28416 28768 28992 29512 29696 30044 30192 30464 30566 30653 30804 31552 31744 32079 32116 32368 32767 33152 33263 33522 33524 33728 33824 34336 35032 35224 35836 35938 36482 36704 36992 37448 37758 37888 38656 38976 38998 39109 40256 41072 41412 41664 42772 43152 43639 44268 44544 44696 45066 45696 45849 47328 47616 48174 48552 49728 50286 50344 50592 50736 51504 51968 52224 52548 52836 53754 53907 54723 55056 55216 55488 55552 56172 56832 57536 57984 58497 58667 59024 60088 60384 60928 61132 61306 61608 62713 63104 64158 64232 64736 65534 66304 66526 67044 67048 67456 67648 68672 70064 70448 71672 71876 72964 73408 73984 74443 74851 74896 75516 77312 77952 77996 78218 79577 80512 82144 82824 83328 85544 86304 87278 88536 89088 89392 90132 91392 91698 91959 94656 94979 95232 96348 97104 98301 99456 99789 100572 100688 101184 101472 103008 103936 105096 105672 106981 107508 107814 109446 110112 110432 110976 111104 112344 113664 115072 115968 116994 117327 117334 118048 120176 120768 121856 122264 122612 123216 125426 126208 127687 128316 128464 129472 130917 131068 132608 133052 134088 134096 134912 135296 135749 136493 137344 140128 140896 143344 143752 145928 146816 147968 148886 149702 149792 151032 154624 155904 155992 156436 159154 161024 162023 164288 165648 166656 171088 172608 173197 174556 176001 177072 178784 180264 182784 183396 183918 188139 189312 189958 192696 194208 196602 198912 199578 201144 201376 202368 202944 206016 207872 210192 211344 213962 215016 215628 218892 220224 220864 221952 222208 223329 224553 224688 230144 231936 232841 233988 234654 234668 236096 238731 240352 241536 244528 245224 246432 250852 252416 255374 256632 256928 258944 259811 261834 262136 265216 266104 268176 268192 269824 270592 271498 272986 274688 280256 281792 284937 286688 287504 291856 293632 295936 297772 299404 299584 302064 305473 310097 311808 311984 312872 318308 320943 322048 324046 328576 331296 331483 333312 342176 345216 346394 349112 352002 354144 357568 360528 365568 366792 367836 376278 378624 379916 383061 385392 388416 393204 397824 399156 402288 402752 404736 405888 407247 409479 412032 420384 422688 427924 430032 431256 437784 440448 441728 443904 446658 449106 449376 460288 463872 465682 467976 469308 469336 472192 477462 480704 483072 486069 489056 490448 492864 501704 504832 510748 513264 513856 517888 519591 519622 521101 523668 524272 532208 536352 536384 539648 541184 542996 545972 549376 557039 560512 563584 565471 569874 573376 575008 583712 587264 595544 598808 599168 604128 610946 620194 623616 623968 625744 636616 641886 644096 648092 657152 662592 662966 664853 666624 684352 690432 692788 698224 698523 704004 708288 715136 721056 733584 735672 752556 757248 759832 766122 770784 776832 779433 786408 795648 798312 804576 805504 809472 811776 814494 818958 824064 840768 845376 855848 860064 862512 875568 880896 883456 887808 893316 898212 898752 916419 920576 930291 931364 935952 938616 938672 944384 950243 954924 961408 966144 972138 978112 980896 985728 994449 1003408 1021496 1026528 1027712 1035776 1039182 1039244 1042202 1047336 1048544 1064416 1072704 1072768 1082368 1085992 1091944 1098752 1114078 1121024 1127168 1130942 1134161 1139748 1146752 1150016 1167424 1174528 1191088 1197616 1198336 1208256 1212379 1221892 1240388 1247936 1251488 1265531 1273232 1283772 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133015296 133023232 133401856 134059008 134582098 135630012 138923456 139006976 139768832 140473941 140635964 141328752 141739472 142601984 144760576 145172608 145887744 147694912 148504384 150161799 151514608 153808112 154245896 155005728 155184512 156402176 156925844 158769664 160726816 161987968 164322816 164883544 165911552 169719296 170202368 170772242 173159552 174592992 176281024 177353728 178821888 180225024 180840016 182446656 187298588 188438336 189998256 192654336 193849572 196127232 199534848 200102784 200215732 201873147 206674304 208385184 208510464 209653248 210953946 212609208 213902976 217140864 217758912 221542368 222756576 227271912 228688896 229942272 230712168 231368844 232776768 232790656 234603264 235388766 238154496 238429184 241090224 242981952 243262208 244460544 247325316 248867328 253331008 254578944 255303552 256158363 258466096 259739328 264421536 266030592 266046464 266803712 269164196 271260024 274620227 277846912 280947882 281271928 282657504 283478944 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698371968 700755062 705124096 715287552 723360064 729786624 749194352 753753344 759993024 775398288 798139392 800411136 800862928 807492588 823860681 826697216 833540736 843815784 850436832 855611904 868563456 871035648 886169472 891026304 909087648 922848672 925475376 931107072 931162624 938413056 941555064 952617984 964360896 971927808 973048832 983317587 989301264 1013324032 1018315776 1021214208 1024633452 1033864384 1038957312 1051132593 1057686144 1076656784 1085040096 1098480908 1111387648 1123791528 1125087712 1130630016 1133915776 1161380864 1181559296 1188035072 1195405694 1201294392 1212116864 1230464896 1233967168 1240045824 1241476096 1255406752 1285814528 1295903744 1311090116 1319068352 1366177936 1385276416 1396743936 1401510124 1410248192 1446720128 1451564057 1459573248 1498388704 1507506688 1519986048 1550796576 1600822272 1601725856 1614985176 1647721362 1653394432 1667081472 1687631568 1700873664 1711223808 1737126912 1742071296 1772338944 1782052608 1793108541 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306023857664 325150348768 335639069696 358786591744 371600398592 421816668672 459035786496 487725523152 503458604544 538179887616 557400597888 612047715328 650300697536 743200797184 843633337344 918071572992 975451046304 1006917209088 1076359775232 1114801195776 1300601395072 1486401594368 1836143145984 1950902092608 2229602391552 2601202790144 3901804185216 4459204783104 5202405580288 7803608370432 10404811160576 15607216740864 31214433481728
- Sum of all divisors σ(n): 111507637370880
- Sum of proper divisors (its aliquot sum) s(n): 80293203889152
- 31214433481728 is an abundant number, because the sum of its proper divisors (80293203889152) is greater than itself. Its abundance is 49078770407424
Bases of 31214433481728
- Binary: 1110001100011101011010011100000110100000000002
- Hexadecimal: 0x1C63AD383400
- Base-36: B2BPNRFUO
Squares and roots of 31214433481728
- 31214433481728 squared (312144334817282) is 974340857585221992509865984
- 31214433481728 cubed (312144334817283) is 30413497887623726318139533604339792740352
-
The
square root of 31214433481728 is 5586987.8719868367 -
The
cube root of 31214433481728 is 31486.0721097641
Scales and comparisons
How big is 31214433481728?- 31,214,433,481,728 seconds is equal to 992,522 years, 22 weeks, 3 days, 7 hours, 8 minutes, 48 seconds.
-
To count from 1 to 31,214,433,481,728 would take you about two million, four hundred eighty-one thousand, three hundred 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 31214433481728 cubic inches would be around 2623.8 feet tall.
Recreational maths with 31214433481728
- 31214433481728 backwards is 82718433441213
- 31214433481728 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31214433481728's digits is 51
- More coming soon!
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Cite this page
MLA style:
"Number 31214433481728 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 31214433481728 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/31214433481728/
Chicago style:
Numbermatics. 2024. "Number 31214433481728 - Facts about the integer". https://numbermatics.com/n/31214433481728/
The information we have on file for 31214433481728 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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