468341201328

Names of 468341201328

• Cardinal: 468341201328 can be written as Four hundred sixty-eight billion, three hundred forty-one million, two hundred one thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 4.68341201328 × 10¹¹

Factors of 468341201328

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 153

Divisors of 468341201328

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 19 21 22 24 26 28 31 33 38 39 42 44 48 52 56 57 62 66 67 76 77 78 84 88 91 93 104 112 114 124 132 133 134 143 152 154 156 168 169 176 182 186 201 208 209 217 228 231 247 248 264 266 268 273 286 304 308 312 336 338 341 361 364 372 399 402 403 418 429 434 456 462 469 494 496 507 528 532 536 546 572 589 616 624 627 651 676 682 722 728 737 741 744 798 804 806 836 858 868 871 912 924 938 988 1001 1014 1023 1064 1072 1083 1092 1144 1178 1183 1209 1232 1254 1273 1302 1352 1364 1407 1444 1456 1463 1474 1482 1488 1596 1608 1612 1672 1716 1729 1736 1742 1767 1848 1859 1876 1976 2002 2028 2046 2077 2128 2166 2184 2211 2288 2356 2366 2387 2418 2508 2527 2546 2604 2613 2704 2717 2728 2814 2821 2888 2926 2948 2964 3003 3192 3211 3216 3224 3344 3432 3458 3472 3484 3534 3549 3696 3718 3752 3819 3952 3971 4004 4056 4092 4123 4154 4332 4368 4389 4422 4433 4693 4712 4732 4774 4836 5016 5054 5092 5159 5187 5208 5226 5239 5434 5456 5577 5628 5642 5776 5852 5896 5928 6006 6097 6231 6384 6422 6448 6479 6864 6916 6968 7068 7098 7161 7436 7504 7581 7638 7657 7942 8008 8112 8151 8184 8246 8308 8463 8664 8778 8844 8866 8911 9386 9424 9464 9548 9581 9633 9672 10032 10108 10184 10318 10374 10416 10452 10478 10868 11154 11191 11256 11284 11323 11704 11792 11856 11913 12012 12194 12369 12462 12844 12958 13013 13299 13832 13936 14003 14079 14136 14196 14322 14539 14872 15162 15276 15314 15477 15717 15884 16016 16302 16368 16492 16549 16616 16926 17328 17556 17688 17732 17822 18291 18772 18928 19019 19096 19162 19266 19344 19437 20216 20368 20636 20748 20904 20956 21736 22308 22382 22477 22512 22568 22646 22847 22971 23408 23826 24024 24187 24388 24738 24924 25688 25916 26026 26598 26733 27001 27664 27797 28006 28158 28272 28392 28644 28743 29078 29744 30324 30552 30628 30954 31031 31434 31768 32604 32851 32984 33098 33232 33573 33852 33969 35112 35321 35376 35464 35644 36582 36673 37544 38038 38192 38324 38532 38874 39039 39463 40432 41272 41496 41808 41912 42009 43472 43617 44616 44764 44954 45136 45292 45353 45694 45942 47652 48048 48374 48776 49476 49647 49848 51376 51623 51832 52052 53196 53466 53599 54002 55594 56012 56316 56784 57057 57288 57486 57629 58156 60648 61009 61104 61256 61908 62062 62868 63536 65208 65702 65968 66196 67067 67146 67431 67704 67938 68541 70224 70642 70928 71288 72561 73164 73346 75088 76076 76648 77064 77748 78078 78337 78926 79261 81003 82544 82992 83391 83824 84018 84227 87234 89232 89528 89908 90584 90706 91388 91884 93093 95304 96748 97552 98021 98553 98952 99294 99541 99696 103246 103664 104104 105963 106392 106932 107198 108004 110019 111188 112024 112632 114114 114576 114972 115258 115843 116312 118389 121296 122018 122512 123101 123816 124124 124553 125736 130416 131404 132392 134134 134292 134862 135408 135876 136059 137082 141284 142576 145122 145483 146328 146692 152152 153296 154128 154869 155496 156156 156674 157852 158522 159929 160797 162006 166782 168036 168454 169309 172887 174468 179056 179816 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270874032 272926108 280108374 290534244 291256966 293446868 314745431 316019704 317734872 320123856 321662913 324336012 332865104 343358652 346406214 359709064 367903536 373477832 380147079 387378992 395892816 397573176 409389162 428883884 432448016 436885449 440170302 457811536 461874952 467873328 474029556 499297656 506862772 513532019 537705168 539563596 545852216 560216748 581068488 582513932 586893736 629490862 632039408 635469744 643325826 648672024 686717304 692812428 719418128 746955664 750546797 760294158 795146352 818778324 857767768 873770898 880340604 887009851 923749904 944236293 948059112 998595312 1013725544 1027064038 1079127192 1091704432 1120433496 1162136976 1165027864 1173787472 1258981724 1286651652 1297344048 1373434608 1385624856 1393872623 1501093594 1520588316 1540596057 1637556648 1715535536 1747541796 1760681208 1774019702 1888472586 1896118224 2027451088 2054128076 2158254384 2240866992 2251640391 2330055728 2517963448 2573303304 2661029553 2771249712 2787745246 3002187188 3041176632 3081192114 3275113296 3495083592 3521362416 3548039404 3776945172 4108256152 4181617869 4503280782 5035926896 5146606608 5322059106 5575490492 6004374376 6082353264 6162384228 6990167184 7096078808 7553890344 8216512304 8363235738 9006561564 9757108361 10644118212 11150980984 12008748752 12324768456 14192157616 15107780688 16726471476 18013123128 19514216722 21288236424 22301961968 24649536912 29271325083 33452942952 36026246256 39028433444 42576472848 58542650166 66905885904 78056866888 117085300332 156113733776 234170600664 468341201328
• Sum of all divisors σ(n): 1806042120192
• Sum of proper divisors (its aliquot sum) s(n): 1337700918864
• 468341201328 is an abundant number, because the sum of its proper divisors (1337700918864) is greater than itself. Its abundance is 869359717536

Bases of 468341201328

• Binary: 110110100001011010011111001100110110000₂
• Hexadecimal: 0x6D0B4F99B0
• Base-36: 5Z5I9BQO

Squares and roots of 468341201328

• 468341201328 squared (468341201328²) is 219343480861354228963584
• 468341201328 cubed (468341201328³) is 102727589330071815801758102924439552
• The square root of 468341201328 is 684354.5874238003
• The cube root of 468341201328 is 7765.8224169571

Scales and comparisons

• 468,341,201,328 seconds is equal to 14,891 years, 41 weeks, 4 days, 18 hours, 8 minutes, 48 seconds.
• To count from 1 to 468,341,201,328 would take you about twenty-nine thousand, seven hundred eighty-three 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 468341201328 cubic inches would be around 647.2 feet tall.

Recreational maths with 468341201328

• 468341201328 backwards is 823102143864
• 468341201328 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468341201328's digits is 42
• More coming soon!