146704416768

Names of 146704416768

• Cardinal: 146704416768 can be written as One hundred forty-six billion, seven hundred four million, four hundred sixteen thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.46704416768 × 10¹¹

Factors of 146704416768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 54

Divisors of 146704416768

• Number of divisors d(n): 810
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 29 32 36 39 42 48 52 56 58 63 64 72 78 84 87 91 96 104 112 116 117 126 128 144 156 168 169 174 182 192 203 208 224 232 234 252 256 261 273 288 312 336 338 348 364 377 384 406 416 448 464 468 504 507 512 522 546 576 609 624 672 676 696 728 754 768 812 819 832 841 896 928 936 1008 1014 1024 1044 1092 1131 1152 1183 1218 1248 1344 1352 1392 1456 1508 1521 1536 1624 1638 1664 1682 1792 1827 1856 1872 2016 2028 2048 2088 2184 2262 2304 2366 2436 2496 2523 2639 2688 2704 2784 2912 3016 3042 3072 3248 3276 3328 3364 3393 3549 3584 3654 3712 3744 4032 4056 4096 4176 4368 4524 4608 4732 4872 4901 4992 5046 5278 5376 5408 5568 5824 5887 6032 6084 6144 6496 6552 6656 6728 6786 7098 7168 7308 7424 7488 7569 7917 8064 8112 8192 8352 8736 9048 9216 9464 9744 9802 9984 10092 10556 10647 10752 10816 10933 11136 11648 11774 12064 12168 12288 12992 13104 13312 13456 13572 14196 14336 14616 14703 14848 14976 15138 15834 16128 16224 16384 16704 17472 17661 18096 18432 18928 19488 19604 19968 20184 21112 21294 21504 21632 21866 22272 23296 23548 23751 24128 24336 24576 25984 26208 26624 26912 27144 28392 28672 29232 29406 29696 29952 30276 31668 32256 32448 32799 33408 34307 34944 35322 36192 36864 37856 38976 39208 39936 40368 42224 42588 43008 43264 43732 44109 44544 46592 47096 47502 48256 48672 49152 51968 52416 52983 53248 53824 54288 56784 57344 58464 58812 59392 59904 60552 63336 64512 64896 65598 66816 68614 69888 70644 72384 73728 75712 76531 77952 78416 79872 80736 84448 85176 86016 86528 87464 88218 89088 93184 94192 95004 96512 97344 98397 102921 103936 104832 105966 106496 107648 108576 113568 114688 116928 117624 118784 119808 121104 126672 129024 129792 131196 133632 137228 139776 141288 142129 144768 147456 151424 153062 155904 156832 159744 161472 168896 170352 172032 173056 174928 176436 178176 186368 188384 190008 193024 194688 196794 205842 207872 209664 211932 212992 215296 217152 227136 229593 233856 235248 237568 239616 242208 253344 258048 259584 262392 267264 274456 279552 282576 284258 289536 302848 306124 308763 311808 313664 319488 322944 337792 340704 344064 346112 349856 352872 356352 372736 376768 380016 386048 389376 393588 411684 415744 419328 423864 426387 430592 434304 454272 459186 467712 470496 475136 479232 484416 506688 516096 519168 524784 534528 548912 559104 565152 568516 579072 605696 612248 617526 623616 627328 638976 645888 675584 681408 688779 692224 699712 705744 712704 745472 753536 760032 772096 778752 787176 823368 831488 838656 847728 852774 861184 868608 908544 918372 935424 940992 958464 968832 994903 1013376 1032192 1038336 1049568 1069056 1097824 1118208 1130304 1137032 1158144 1211392 1224496 1235052 1247232 1254656 1279161 1291776 1351168 1362816 1377558 1384448 1399424 1411488 1425408 1490944 1507072 1520064 1544192 1557504 1574352 1646736 1662976 1677312 1695456 1705548 1722368 1737216 1817088 1836744 1870848 1881984 1916928 1937664 1989806 2026752 2076672 2099136 2138112 2195648 2236416 2260608 2274064 2316288 2422784 2448992 2470104 2494464 2509312 2558322 2583552 2702336 2725632 2755116 2768896 2798848 2822976 2984709 3014144 3040128 3088384 3115008 3148704 3293472 3325952 3354624 3390912 3411096 3444736 3474432 3634176 3673488 3741696 3763968 3875328 3979612 4053504 4153344 4198272 4276224 4391296 4472832 4521216 4548128 4632576 4845568 4897984 4940208 4988928 5018624 5116644 5167104 5404672 5451264 5510232 5597696 5645952 5969418 6028288 6080256 6176768 6230016 6297408 6586944 6709248 6781824 6822192 6889472 6948864 7268352 7346976 7483392 7527936 7750656 7959224 8107008 8306688 8396544 8782592 8954127 9042432 9096256 9265152 9691136 9795968 9880416 9977856 10037248 10233288 10334208 10809344 10902528 11020464 11195392 11291904 11938836 12056576 12160512 12460032 12594816 13173888 13418496 13563648 13644384 13778944 13897728 14536704 14693952 14966784 15055872 15501312 15918448 16214016 16793088 17565184 17908254 18084864 18192512 18530304 19382272 19591936 19760832 20074496 20466576 20668416 21618688 21805056 22040928 22390784 22583808 23877672 24113152 24321024 24920064 25189632 26347776 27127296 27288768 27795456 29073408 29387904 29933568 30111744 31002624 31836896 32428032 33586176 35130368 35816508 36169728 36385024 39183872 39521664 40148992 40933152 41336832 43237376 43610112 44081856 44781568 45167616 47755344 48226304 48642048 50379264 52695552 54254592 54577536 55590912 58146816 58775808 60223488 62005248 63673792 64856064 67172352 70260736 71633016 72339456 72770048 78367744 79043328 80297984 81866304 87220224 88163712 89563136 90335232 95510688 96452608 97284096 100758528 105391104 108509184 109155072 117551616 120446976 124010496 127347584 129712128 134344704 140521472 143266032 144678912 145540096 156735488 158086656 163732608 174440448 176327424 179126272 180670464 191021376 194568192 201517056 210782208 217018368 218310144 235103232 240893952 254695168 268689408 281042944 286532064 289357824 291080192 313470976 316173312 327465216 352654848 361340928 382042752 389136384 403034112 421564416 434036736 436620288 470206464 509390336 537378816 562085888 573064128 582160384 626941952 632346624 654930432 705309696 722681856 764085504 806068224 843128832 868073472 873240576 940412928 1018780672 1146128256 1164320768 1253883904 1264693248 1309860864 1410619392 1528171008 1612136448 1686257664 1746481152 1880825856 2037561344 2292256512 2328641536 2529386496 2619721728 2821238784 3056342016 3492962304 3761651712 4075122688 4584513024 5058772992 5239443456 5642477568 6112684032 6985924608 8150245376 9169026048 10478886912 11284955136 12225368064 16300490752 18338052096 20957773824 24450736128 36676104192 48901472256 73352208384 146704416768
• Sum of all divisors σ(n): 543174364824
• Sum of proper divisors (its aliquot sum) s(n): 396469948056
• 146704416768 is an abundant number, because the sum of its proper divisors (396469948056) is greater than itself. Its abundance is 249765531288

Bases of 146704416768

• Binary: 10001000101000010000111100000000000000₂
• Hexadecimal: 0x222843C000
• Base-36: 1VE80SG0

Squares and roots of 146704416768

• 146704416768 squared (146704416768²) is 21522185899239039565824
• 146704416768 cubed (146704416768³) is 3157399729920336914520685865336832
• The square root of 146704416768 is 383020.1258001987
• The cube root of 146704416768 is 5274.0923457129

Scales and comparisons

• 146,704,416,768 seconds is equal to 4,664 years, 38 weeks, 5 days, 18 hours, 52 minutes, 48 seconds.
• To count from 1 to 146,704,416,768 would take you about nine thousand, three hundred twenty-nine 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 146704416768 cubic inches would be around 439.5 feet tall.

Recreational maths with 146704416768

• 146704416768 backwards is 867614407641
• The number of decimal digits it has is: 12
• The sum of 146704416768's digits is 54
• More coming soon!