146972471146992
146,972,471,146,992 is an even composite number composed of six prime numbers multiplied together.
146972471146992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 146972471146992:
24 × 37 × 292 × 113 × 193 × 229
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 29 × 29 × 113 × 193 × 229)See below for interesting mathematical facts about the number 146972471146992 from the Numbermatics database.
Names of 146972471146992
- Cardinal: 146972471146992 can be written as One hundred forty-six trillion, nine hundred seventy-two billion, four hundred seventy-one million, one hundred forty-six thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.46972471146992 × 1014
Factors of 146972471146992
Divisors of 146972471146992
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 113 116 144 162 174 193 216 226 229 232 243 261 324 339 348 386 432 452 458 464 486 522 579 648 678 687 696 729 772 783 841 904 916 972 1017 1044 1158 1296 1356 1374 1392 1458 1544 1566 1682 1737 1808 1832 1944 2034 2061 2088 2187 2316 2349 2523 2712 2748 2916 3051 3088 3132 3277 3364 3474 3664 3888 4068 4122 4176 4374 4632 4698 5046 5211 5424 5496 5597 5832 6102 6183 6264 6554 6641 6728 6948 7047 7569 8136 8244 8748 9153 9264 9396 9831 10092 10422 10992 11194 11664 12204 12366 12528 13108 13282 13456 13896 14094 15138 15633 16272 16488 16791 17496 18306 18549 18792 19662 19923 20184 20844 21141 21809 22388 22707 24408 24732 25877 26216 26564 27459 27792 28188 29493 30276 31266 32976 33582 34992 36612 37098 37584 39324 39846 40368 41688 42282 43618 44197 44776 45414 46899 48816 49464 50373 51754 52432 53128 54918 55647 56376 58986 59769 60552 62532 63423 65427 67164 68121 73224 74196 77631 78648 79692 82377 83376 84564 87236 88394 88479 89552 90828 93798 95033 98928 100746 103508 106256 109836 111294 112752 117972 119538 121104 125064 126846 130854 132591 134328 136242 140697 146448 148392 151119 155262 157296 159384 162313 164754 166941 169128 174472 176788 176958 179307 181656 187596 190066 192589 196281 201492 204363 207016 219672 222588 232893 235944 239076 247131 250128 253692 261708 265182 265437 268656 272484 281394 285099 296784 302238 310524 318768 324626 329508 333882 338256 348944 353576 353916 358614 363312 375192 380132 385178 392562 397773 402984 408726 414032 422091 439344 445176 453357 465786 471888 478152 486939 494262 500823 507384 523416 530364 530874 537921 544968 562788 570198 577767 588843 604476 613089 621048 632461 649252 659016 667764 698679 707152 707832 717228 750384 750433 760264 770356 785124 795546 796311 805968 817452 844182 855297 890352 906714 931572 956304 973878 988524 1001646 1014768 1046832 1060728 1061748 1075842 1089936 1125576 1140396 1155534 1177686 1193319 1208952 1226178 1242096 1264922 1281713 1298504 1318032 1335528 1360071 1397358 1415664 1434456 1460817 1500866 1520528 1540712 1570248 1591092 1592622 1613763 1634904 1688364 1710594 1733301 1766529 1813428 1839267 1863144 1897383 1947756 1977048 2003292 2096037 2121456 2123496 2151684 2251152 2251299 2280792 2311068 2355372 2386638 2388933 2417904 2452356 2529844 2563426 2565891 2597008 2671056 2720142 2794716 2868912 2921634 3001732 3081424 3140496 3182184 3185244 3227526 3269808 3376728 3421188 3466602 3533058 3579957 3626856 3678534 3726288 3794766 3845139 3895512 3954096 4006584 4080213 4192074 4246992 4303368 4382451 4502598 4561584 4622136 4710744 4773276 4777866 4841289 4904712 4994261 5059688 5126852 5131782 5199903 5299587 5440284 5589432 5692149 5843268 6003464 6288111 6364368 6370488 6455052 6753456 6753897 6842376 6933204 7066116 7159914 7166799 7253712 7357068 7589532 7690278 7697673 7791024 8013168 8160426 8384148 8606736 8764902 9005196 9244272 9421488 9546552 9555732 9682578 9809424 9988522 10119376 10253704 10263564 10399806 10599174 10739871 10880568 11178864 11384298 11535417 11686536 12006928 12240639 12576222 12740976 12910104 13147353 13507794 13684752 13866408 14132232 14319828 14333598 14523867 14714136 14982783 15179064 15380556 15395346 15599709 15898761 16320852 16768296 17076447 17529804 18010392 18341369 18864333 19093104 19111464 19365156 19977044 20261691 20507408 20527128 20799612 21198348 21479742 21761136 21762557 22768596 23070834 23093019 23373072 24481278 25152444 25820208 26294706 27015588 27732816 28264464 28639656 28667196 29047734 29428272 29965566 30358128 30761112 30790692 31199418 31797522 32219613 32641704 33536592 34152894 34606251 35059608 36020784 36682738 37169677 37728666 38222928 38730312 39442059 39954088 40523382 41054256 41599224 42396696 42959484 43525114 44948349 45537192 46141668 46186038 46799127 47696283 48962556 50304888 51229341 52589412 54031176 55024107 56592999 57279312 57334392 58095468 59931132 60785073 61522224 61581384 62398836 63595044 64439226 65283408 65287671 68305788 69212502 69279057 70119216 73365476 74339354 75457332 77460624 78884118 79908176 81046764 83198448 84793392 85918968 87050228 89896698 91074384 92283336 92372076 93598254 95392566 96658839 97925112 100609776 102458682 103818753 105178824 108062352 110048214 111509031 113185998 114668784 116190936 118326177 119862264 121570146 123162768 124797672 127190088 128878452 130575342 134845047 136611576 138425004 138558114 140397381 144833569 146730952 148678708 150914664 153688023 157768236 162093528 165072321 171837936 174100456 179793396 182355219 184566672 184744152 187196508 190785132 193317678 195850224 195863013 204917364 207637506 207837171 210357648 220096428 223018062 226371996 232381872 236652354 239724528 243140292 249595344 254380176 257756904 261150684 269690094 273223152 276850008 277116228 280794762 289667138 293461904 297357416 301829328 307376046 311456259 315536472 324187056 330144642 334527093 348200912 354978531 359586792 364710438 369488304 374393016 381570264 386635356 391726026 404535141 409834728 415275012 415674342 421192143 434500707 440192856 446036124 452743992 461064069 473304708 486280584 495216963 515513808 522301368 539380188 547065657 553700016 554232456 561589524 579334276 587589039 594714832 614752092 622912518 631072944 660289284 669054186 709957062 719173584 729420876 748786032 763140528 773270712 783452052 809070282 819669456 830550024 831348684 842384286 869001414 880385712 892072248 905487984 922128138 934368777 946609416 972561168 990433926 1003581279 1044602736 1078760376 1094131314 1108464912 1123179048 1158668552 1175178078 1213605423 1229504184 1245825036 1303502121 1320578568 1338108372 1383192207 1419914124 1458841752 1485650889 1546541424 1566904104 1618140564 1641196971 1661100048 1662697368 1684768572 1738002828 1762767117 1784144496 1844256276 1868737554 1893218832 1980867852 2007162558 2157520752 2188262628 2246358096 2317337104 2350356156 2427210846 2459008368 2491650072 2607004242 2641157136 2676216744 2766384414 2803106331 2839828248 2917683504 2971301778 3010743837 3133808208 3236281128 3282393942 3325394736 3369537144 3476005656 3525534234 3640816269 3688512552 3737475108 3910506363 3961735704 4014325116 4200173501 4376525256 4456952667 4700712312 4854421692 4983300144 5214008484 5288301351 5352433488 5532768828 5606212662 5679656496 5942603556 6021487674 6472562256 6564787884 6739074288 6952011312 7051068468 7281632538 7377025104 7474950216 7821012726 7923471408 8028650232 8400347002 8753050512 8913905334 9032231511 9401424624 9708843384 10428016968 10576602702 10922448807 11065537656 11212425324 11731519089 11885207112 12042975348 12600520503 13129575768 13370858001 14102136936 14563265076 14949900432 15642025452 15864904053 16057300464 16800694004 17827810668 18064463022 19417686768 20856033936 21153205404 21844897614 22131075312 22424850648 23463038178 23770414224 24085950696 25201041006 26259151536 26741716002 27096694533 28204273872 29126530152 31284050904 31729808106 33601388008 35194557267 35655621336 36128926044 37801561509 40112574003 42306410808 43689795228 44849701296 46926076356 47594712159 48171901392 50402082012 53483432004 54193389066 58253060304 62568101808 63459616212 67202776016 70389114534 71311242672 72257852088 75603123018 80225148006 81290083599 84612821616 87379590456 93852152712 95189424318 100804164024 105583671801 106966864008 108386778132 113404684527 126919232424 140778229068 144515704176 151206246036 160450296012 162580167198 174759180912 187704305424 190378848636 201608328048 211167343602 213933728016 216773556264 226809369054 253838464848 281556458136 302412492072 316751015403 320900592024 325160334396 340214053581 380757697272 422334687204 433547112528 453618738108 563112916272 604824984144 633502030806 641801184048 650320668792 680428107162 761515394544 844669374408 907237476216 1020642160743 1267004061612 1300641337584 1360856214324 1689338748816 1814474952432 2041284321486 2534008123224 2721712428648 3061926482229 4082568642972 5068016246448 5443424857296 6123852964458 8165137285944 9185779446687 12247705928916 16330274571888 18371558893374 24495411857832 36743117786748 48990823715664 73486235573496 146972471146992
- Sum of all divisors σ(n): 450493065110400
- Sum of proper divisors (its aliquot sum) s(n): 303520593963408
- 146972471146992 is an abundant number, because the sum of its proper divisors (303520593963408) is greater than itself. Its abundance is 156548122816416
Bases of 146972471146992
- Binary: 1000010110101011101100011110111100111001111100002
- Hexadecimal: 0x85ABB1EF39F0
- Base-36: 1G3I7YLR00
Squares and roots of 146972471146992
- 146972471146992 squared (1469724711469922) is 21600907275053395936070648064
- 146972471146992 cubed (1469724711469923) is 3174738721231634819840309951972342844223488
-
The
square root of 146972471146992 is 12123220.3290624063 -
The
cube root of 146972471146992 is 52773.0261799867
Scales and comparisons
How big is 146972471146992?- 146,972,471,146,992 seconds is equal to 4,673,269 years, 50 weeks, 1 day, 21 hours, 43 minutes, 12 seconds.
-
To count from 1 to 146,972,471,146,992 would take you about eleven million, six hundred eighty-three thousand, one hundred seventy-four 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 146972471146992 cubic inches would be around 4397.8 feet tall.
Recreational maths with 146972471146992
- 146972471146992 backwards is 299641174279641
- 146972471146992 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 146972471146992's digits is 72
- More coming soon!
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The information we have on file for 146972471146992 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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