146900115648

Names of 146900115648

• Cardinal: 146900115648 can be written as One hundred forty-six billion, nine hundred million, one hundred fifteen thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 1.46900115648 × 10¹¹

Factors of 146900115648

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 338

Divisors of 146900115648

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 31 32 33 36 39 44 48 52 54 62 64 66 72 78 88 93 96 99 104 108 117 124 127 132 143 144 151 156 176 186 192 198 208 216 234 248 254 264 279 286 288 297 302 312 341 351 352 372 381 396 403 416 429 432 453 468 496 508 528 558 572 576 594 604 624 682 702 704 744 762 792 806 832 837 858 864 906 936 992 1016 1023 1056 1116 1143 1144 1188 1208 1209 1248 1287 1359 1364 1397 1404 1488 1524 1584 1612 1651 1661 1674 1716 1728 1812 1872 1963 1984 2032 2046 2112 2232 2286 2288 2376 2416 2418 2496 2574 2718 2728 2794 2808 2976 3048 3069 3168 3224 3302 3322 3348 3429 3432 3624 3627 3744 3861 3926 3937 4064 4077 4092 4191 4433 4464 4572 4576 4681 4752 4832 4836 4953 4983 5148 5436 5456 5588 5616 5889 5952 6096 6138 6336 6448 6604 6644 6696 6858 6864 7248 7254 7488 7722 7852 7874 8128 8154 8184 8382 8866 8928 9144 9152 9207 9362 9504 9664 9672 9906 9966 10296 10872 10881 10912 11176 11232 11778 11811 12192 12276 12573 12896 13208 13288 13299 13392 13716 13728 14043 14496 14508 14859 14949 15444 15704 15748 16308 16368 16764 17667 17732 17856 18161 18288 18414 18724 19008 19177 19344 19812 19932 20592 21593 21744 21762 21824 22352 22464 23556 23622 24384 24552 25146 25792 26416 26576 26598 26784 27432 27456 28086 28992 29016 29718 29898 30888 31408 31496 32616 32736 33528 35334 35433 35464 36322 36576 36828 37448 37719 38354 38688 39624 39864 39897 41184 42129 43186 43307 43488 43524 44577 44704 44847 47112 47244 49104 50292 51181 51491 52832 53001 53152 53196 53568 54483 54864 56172 57531 58032 59436 59796 60853 61776 62816 62992 64779 65232 65472 67056 70668 70866 70928 72644 73152 73656 74896 75438 76708 77376 79248 79728 79794 82368 84258 86372 86614 86976 87048 89154 89408 89694 94224 94488 98208 100584 102362 102982 105664 106002 106299 106304 106392 108966 109728 112344 115062 116064 118872 119592 119691 121706 123552 125632 125984 126387 129558 129921 130464 134112 141336 141732 141856 145288 147312 149792 150876 153416 153543 154473 158496 159456 159588 163449 168516 172593 172744 173228 174096 178308 179388 182559 188448 188976 194337 196416 201168 204724 205964 210947 212004 212598 212784 217932 219456 224688 230124 232128 237744 239184 239382 243412 247104 249301 251968 252774 259116 259842 260928 268224 282672 283464 283712 290576 294624 299584 301752 306832 307086 308946 316992 318912 319176 326898 337032 345186 345488 346456 348192 356616 358776 365118 376896 377952 388674 389763 402336 409448 411928 421894 424008 425196 425568 435864 449376 460248 460629 463419 475488 478368 478764 486824 490347 498602 505548 517779 518232 519684 547677 562991 565344 566928 581152 583011 589248 594487 603504 613664 614172 617892 632841 638352 653796 669383 674064 690372 690976 692912 696384 713232 717552 730236 747903 755904 777348 779526 804672 818896 823856 843788 848016 850392 851136 871728 898752 920496 921258 926838 950976 956736 957528 973648 980694 997204 1011096 1035558 1036464 1039368 1095354 1125982 1130688 1133856 1162304 1166022 1169289 1188974 1207008 1227328 1228344 1235784 1265682 1276704 1307592 1338766 1348128 1380744 1381887 1381952 1385824 1390257 1426464 1435104 1460472 1495806 1554696 1559052 1637792 1643031 1647712 1687576 1688973 1696032 1700784 1743456 1783461 1840992 1842516 1853676 1898523 1915056 1947296 1961388 1994408 2008149 2022192 2071116 2072928 2078736 2190708 2243709 2251964 2267712 2332044 2338578 2377948 2414016 2456688 2471568 2531364 2553408 2615184 2677532 2696256 2742311 2761488 2763774 2771648 2780514 2852928 2870208 2920944 2991612 3109392 3118104 3275584 3286062 3295424 3375152 3377946 3392064 3401568 3486912 3566922 3681984 3685032 3707352 3797046 3830112 3894592 3922776 3988816 4016298 4044384 4142232 4145856 4157472 4381416 4487418 4503928 4664088 4677156 4755896 4913376 4943136 5062728 5066919 5230368 5350383 5355064 5484622 5522976 5527548 5561028 5695569 5841888 5983224 6024447 6218784 6236208 6539357 6572124 6731127 6750304 6755892 6803136 7133844 7370064 7414704 7594092 7660224 7728331 7845552 7977632 8032596 8088768 8226933 8284464 8314944 8762832 8974836 9007856 9328176 9354312 9511792 9826752 9886272 10125456 10133838 10460736 10700766 10710128 10969244 11045952 11055096 11122056 11391138 11683776 11966448 12048894 12437568 12472416 13078714 13144248 13462254 13500608 13511784 14267688 14740128 14829408 15188184 15200757 15456662 15691104 15955264 16051149 16065192 16453866 16568928 17525664 17949672 18015712 18073341 18656352 18708624 19023584 19618071 20250912 20267676 21401532 21420256 21938488 22110192 22244112 22782276 23184993 23932896 24097788 24680799 24944832 26157428 26288496 26924508 27023568 28535376 29480256 29658816 30376368 30401514 30913324 31382208 32102298 32130384 32907732 33137856 35051328 35899344 36031424 36146682 37312704 37417248 38047168 39236142 40501824 40535352 42803064 42840512 43876976 44220384 44488224 45564552 46369986 47865792 48195576 49361598 52314856 52576992 53849016 54047136 57070752 58854213 60752736 60803028 61826648 64204596 64260768 65815464 69554979 71798688 72293364 74042397 74834496 78472284 81070704 85011641 85606128 87753952 88440768 88976448 91129104 92739972 96391152 98723196 104629712 105153984 107698032 108094272 114141504 117708426 121505472 121606056 123653296 128409192 128521536 131630928 139109958 143597376 144586728 148084794 156944568 162141408 170023282 171212256 175507904 176562639 182258208 185479944 192782304 197446392 208664937 209259424 215396064 235416852 243212112 247306592 255034923 256818384 263261856 278219916 289173456 296169588 313889136 324282816 340046564 342424512 353125278 364516416 370959888 385564608 394892784 417329874 418518848 430792128 470833704 486424224 494613184 510069846 513636768 526523712 556439832 578346912 592339176 627778272 680093128 706250556 741919776 765104769 789785568 834659748 941667408 972848448 1020139692 1027273536 1112879664 1156693824 1184678352 1255556544 1360186256 1412501112 1483839552 1530209538 1579571136 1669319496 1883334816 2040279384 2225759328 2295314307 2369356704 2720372512 2825002224 3060419076 3338638992 3766669632 4080558768 4451518656 4590628614 4738713408 5440745024 5650004448 6120838152 6677277984 8161117536 9181257228 11300008896 12241676304 13354555968 16322235072 18362514456 24483352608 36725028912 48966705216 73450057824 146900115648
• Sum of all divisors σ(n): 531344916480
• Sum of proper divisors (its aliquot sum) s(n): 384444800832
• 146900115648 is an abundant number, because the sum of its proper divisors (384444800832) is greater than itself. Its abundance is 237544685184

Bases of 146900115648

• Binary: 10001000110011111011011110000011000000₂
• Hexadecimal: 0x2233EDE0C0
• Base-36: 1VHGJAO0

Squares and roots of 146900115648

• 146900115648 squared (146900115648²) is 21579643977395774459904
• 146900115648 cubed (146900115648³) is 3170052195922105966026422338977792
• The square root of 146900115648 is 383275.5088027411
• The cube root of 146900115648 is 5276.4364590971

Scales and comparisons

• 146,900,115,648 seconds is equal to 4,670 years, 50 weeks, 2 days, 19 hours, 40 minutes, 48 seconds.
• To count from 1 to 146,900,115,648 would take you about nine thousand, three hundred forty-one 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 146900115648 cubic inches would be around 439.7 feet tall.

Recreational maths with 146900115648

• 146900115648 backwards is 846511009641
• The number of decimal digits it has is: 12
• The sum of 146900115648's digits is 45
• More coming soon!