137354906304

Names of 137354906304

• Cardinal: 137354906304 can be written as One hundred thirty-seven billion, three hundred fifty-four million, nine hundred six thousand, three hundred four.

Scientific notation

• Scientific notation: 1.37354906304 × 10¹¹

Factors of 137354906304

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 5033

Divisors of 137354906304

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 23 24 27 28 32 33 36 42 44 46 48 54 56 63 64 66 69 72 77 81 84 88 92 96 99 108 112 126 132 138 144 154 161 162 168 176 184 189 192 198 207 216 224 231 243 252 253 264 276 288 297 308 322 324 336 352 368 378 396 414 432 448 462 483 486 504 506 528 552 567 576 594 616 621 644 648 672 693 704 736 756 759 792 828 864 891 924 966 972 1008 1012 1056 1104 1134 1188 1232 1242 1288 1296 1344 1386 1449 1472 1512 1518 1584 1656 1701 1728 1771 1782 1848 1863 1932 1944 2016 2024 2079 2112 2208 2268 2277 2376 2464 2484 2576 2592 2673 2772 2898 3024 3036 3168 3312 3402 3542 3564 3696 3726 3864 3888 4032 4048 4158 4347 4416 4536 4554 4752 4928 4968 4987 5152 5184 5313 5346 5544 5589 5796 6048 6072 6237 6336 6624 6804 6831 7084 7128 7392 7452 7728 7776 8096 8316 8694 9072 9108 9504 9936 9974 10304 10626 10692 11088 11178 11592 12096 12144 12474 13041 13248 13608 13662 14168 14256 14784 14904 14961 15456 15552 15939 16192 16632 17388 18144 18216 18711 19008 19872 19948 20493 21252 21384 22176 22356 23184 24288 24948 26082 27216 27324 28336 28512 29808 29922 30912 31878 33264 34776 34909 36288 36432 37422 39123 39744 39896 40986 42504 42768 44352 44712 44883 46368 47817 48576 49896 52164 54432 54648 54857 56672 57024 59616 59844 61479 63756 66528 69552 69818 72864 74844 78246 79792 81972 85008 85536 89424 89766 92736 95634 99792 104328 104727 108864 109296 109714 113344 114701 119232 119688 122958 127512 133056 134649 139104 139636 143451 145728 149688 156492 159584 163944 164571 170016 171072 178848 179532 191268 199584 208656 209454 218592 219428 229402 239376 245916 255024 269298 278208 279272 286902 299376 312984 314181 319168 327888 329142 340032 344103 357696 359064 382536 383999 399168 403947 417312 418908 430353 437184 438856 458804 478752 491832 493713 510048 538596 558544 573804 598752 625968 628362 655776 658284 688206 718128 765072 767998 802907 807894 834624 837816 860706 877712 917608 942543 957504 983664 987426 1020096 1032309 1077192 1117088 1147608 1151997 1197504 1211841 1251936 1256724 1261711 1311552 1316568 1376412 1436256 1481139 1530144 1535996 1605814 1615788 1675632 1721412 1755424 1835216 1885086 1967328 1974852 2064618 2154384 2234176 2295216 2303994 2408721 2423682 2503872 2513448 2523422 2633136 2752824 2827629 2872512 2962278 3060288 3071992 3096927 3211628 3231576 3351264 3442824 3455991 3510848 3670432 3770172 3785133 3934656 3949704 4129236 4308768 4443417 4590432 4607988 4817442 4847364 5026896 5046844 5266272 5505648 5655258 5924556 6143984 6193854 6423256 6463152 6702528 6885648 6911982 7226163 7340864 7540344 7570266 7899408 8258472 8482887 8617536 8831977 8886834 9180864 9215976 9290781 9634884 9694728 10053792 10093688 10367973 10532544 11011296 11310516 11355399 11849112 12287968 12387708 12846512 12926304 13330251 13771296 13823964 14452326 15080688 15140532 15798816 16516944 16965774 17663954 17773668 18431952 18581562 19269768 19389456 20107584 20187376 20735946 21678489 22022592 22621032 22710798 23698224 24575936 24775416 25693024 25852608 26495931 26660502 27542592 27647928 27872343 28904652 30161376 30281064 31103919 31597632 33033888 33931548 34066197 35327908 35547336 36863904 37163124 38539536 38778912 40374752 41471892 43356978 45242064 45421596 47396448 49550832 51386048 52991862 53321004 55295856 55744686 57809304 60322752 60562128 62207838 65035467 66067776 67863096 68132394 70655816 71094672 73727808 74326248 77079072 77557824 79487793 80749504 82943784 86713956 90484128 90843192 93311757 94792896 99101664 102198591 105983724 106642008 110591712 111489372 115618608 121124256 124415676 130070934 135726192 136264788 141311632 142189344 148652496 154158144 158975586 165887568 173427912 180968256 181686384 186623514 195106401 198203328 204397182 211967448 213284016 221183424 222978744 231237216 238463379 242248512 248831352 260141868 271452384 272529576 282623264 284378688 297304992 306595773 317951172 331775136 346855824 363372768 373247028 390212802 408794364 423934896 426568032 445957488 462474432 476926758 497662704 520283736 542904768 545059152 565246528 594609984 613191546 635902344 663550272 693711648 715390137 726745536 746494056 780425604 817588728 847869792 853136064 891914976 953853516 995325408 1040567472 1090118304 1226383092 1271804688 1387423296 1430780274 1492988112 1560851208 1635177456 1695739584 1783829952 1907707032 1990650816 2081134944 2146170411 2180236608 2452766184 2543609376 2861560548 2985976224 3121702416 3270354912 3815414064 4162269888 4292340822 4905532368 5087218752 5723121096 5971952448 6243404832 6540709824 7630828128 8584681644 9811064736 11446242192 12486809664 15261656256 17169363288 19622129472 22892484384 34338726576 45784968768 68677453152 137354906304
• Sum of all divisors σ(n): 531268448256
• Sum of proper divisors (its aliquot sum) s(n): 393913541952
• 137354906304 is an abundant number, because the sum of its proper divisors (393913541952) is greater than itself. Its abundance is 256558635648

Bases of 137354906304

• Binary: 1111111111010111111011000101011000000₂
• Hexadecimal: 0x1FFAFD8AC0
• Base-36: 1R3LKC00

Squares and roots of 137354906304

• 137354906304 squared (137354906304²) is 18866370285780618940416
• 137354906304 cubed (137354906304³) is 2591388522899966618059967438782464
• The square root of 137354906304 is 370614.2284154777
• The cube root of 137354906304 is 5159.5844554493

Scales and comparisons

• 137,354,906,304 seconds is equal to 4,367 years, 23 weeks, 6 days, 20 hours, 38 minutes, 24 seconds.
• To count from 1 to 137,354,906,304 would take you about eight thousand, seven hundred thirty-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 137354906304 cubic inches would be around 430 feet tall.

Recreational maths with 137354906304

• 137354906304 backwards is 403609453731
• The number of decimal digits it has is: 12
• The sum of 137354906304's digits is 45
• More coming soon!