900146735136

Names of 900146735136

• Cardinal: 900146735136 can be written as Nine hundred billion, one hundred forty-six million, seven hundred thirty-five thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 9.00146735136 × 10¹¹

Factors of 900146735136

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 174

Divisors of 900146735136

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 48 54 62 66 72 81 88 93 96 99 108 121 124 127 132 144 162 176 186 198 216 242 243 248 254 264 279 288 297 324 341 352 363 372 381 396 432 484 486 496 508 528 558 594 648 682 726 729 744 762 792 837 864 891 968 972 992 1016 1023 1056 1089 1116 1143 1188 1296 1364 1397 1452 1458 1488 1524 1584 1674 1782 1936 1944 2032 2046 2178 2187 2232 2286 2376 2511 2592 2673 2728 2794 2904 2916 2976 3048 3069 3168 3267 3348 3429 3564 3751 3872 3888 3937 4064 4092 4191 4356 4374 4464 4572 4752 5022 5346 5456 5588 5808 5832 6096 6138 6534 6561 6696 6858 7128 7502 7533 7776 7874 8019 8184 8382 8712 8748 8928 9144 9207 9504 9801 10044 10287 10692 10912 11176 11253 11616 11664 11811 12192 12276 12573 13068 13122 13392 13716 14256 15004 15066 15367 15748 16038 16368 16764 17424 17496 18288 18414 19602 19683 20088 20574 21384 22352 22506 22599 23328 23622 24057 24552 25146 26136 26244 26784 27432 27621 28512 29403 30008 30132 30734 30861 31496 32076 32736 33528 33759 34848 34992 35433 36576 36828 37719 39204 39366 40176 41148 42768 43307 44704 45012 45198 46101 47244 48114 49104 50292 52272 52488 54864 55242 58806 59049 60016 60264 61468 61722 62992 64152 67056 67518 67797 69984 70866 72171 73656 75438 78408 78732 80352 82296 82863 85536 86614 88209 90024 90396 92202 92583 94488 96228 98208 100584 101277 104544 104976 106299 109728 110484 113157 117612 118098 120032 120528 122936 123444 125984 128304 129921 134112 135036 135594 138303 141732 144342 147312 150876 156816 157464 164592 165726 173228 176418 180048 180792 184404 185166 188976 192456 201168 202554 203391 209952 212598 216513 220968 226314 235224 236196 241056 245872 246888 248589 256608 259842 264627 270072 271188 276606 277749 283464 288684 294624 301752 303831 313632 314928 318897 329184 331452 339471 346456 352836 360096 361584 368808 370332 377952 384912 389763 402336 405108 406782 414909 425196 433026 441936 452628 470448 472392 476377 491744 493776 497178 519684 529254 540144 542376 553212 555498 566928 577368 603504 607662 610173 629856 637794 649539 662904 678942 692912 705672 723168 737616 740664 745767 769824 779526 793881 810216 813564 829818 833247 850392 866052 883872 905256 911493 940896 944784 952754 956691 987552 994356 1018413 1039368 1058508 1080288 1084752 1106424 1110996 1133856 1154736 1169289 1207008 1215324 1220346 1244727 1275588 1299078 1325808 1357884 1385824 1411344 1429131 1475232 1481328 1491534 1559052 1587762 1620432 1627128 1659636 1666494 1700784 1732104 1810512 1822986 1830519 1889568 1905508 1913382 1988712 2036826 2078736 2117016 2169504 2212848 2221992 2237301 2309472 2338578 2381643 2430648 2440692 2489454 2499741 2551176 2598156 2651616 2715768 2734479 2822688 2858262 2870073 2962656 2983068 3055239 3118104 3175524 3240864 3254256 3319272 3332988 3401568 3464208 3507867 3621024 3645972 3661038 3734181 3811016 3826764 3977424 4073652 4157472 4234032 4287393 4425696 4443984 4474602 4677156 4763286 4861296 4881384 4978908 4999482 5102352 5196312 5431536 5468958 5716524 5740146 5966136 6110478 6236208 6351048 6508512 6638544 6665976 6711903 6928416 7015734 7144929 7291944 7322076 7468362 7499223 7622032 7653528 7954848 8147304 8203437 8468064 8574786 8610219 8887968 8949204 9165717 9354312 9526572 9722592 9762768 9957816 9998964 10204704 10392624 10523601 10863072 10937916 11202543 11433048 11480292 11932272 12220956 12472416 12702096 12862179 13277088 13331952 13423806 14031468 14289858 14583888 14644152 14936724 14998446 15244064 15307056 16294608 16406874 17149572 17220438 17898408 18331434 18708624 19053144 19525536 19915632 19997928 20135709 20785248 21047202 21875832 22405086 22866096 22960584 23864544 24441912 24610311 25404192 25724358 25830657 26663904 26847612 27497151 28062936 28579716 29167776 29288304 29873448 29996892 30614112 31570803 32589216 32813748 33607629 34299144 34440876 35796816 36662868 37417248 38106288 38586537 39831264 39995856 40271418 42094404 43751664 44810172 45732192 45921168 48883824 49220622 51448716 51661314 53695224 54994302 56125872 57159432 58576608 59746896 59993784 63141606 65627496 67215258 68598288 68881752 71593632 73325736 73830933 76212576 77173074 77491971 79991712 80542836 82491453 84188808 87503328 89620344 91842336 94712409 97767648 98441244 100822887 102897432 103322628 107390448 109988604 112251744 114318864 115759611 119493792 119987568 126283212 131254992 134430516 137196576 137763504 146651472 147661866 154346148 154983942 161085672 164982906 168377616 179240688 189424818 196882488 201645774 205794864 206645256 214780896 219977208 221492799 228637728 231519222 232475913 239975136 252566424 262509984 268861032 275527008 284137227 293302944 295323732 302468661 308692296 309967884 322171344 329965812 336755232 347278833 358481376 378849636 393764976 403291548 411589728 413290512 439954416 442985598 463038444 464951826 505132848 537722064 568274454 590647464 604937322 617384592 619935768 644342688 659931624 694557666 757699272 787529952 806583096 826581024 852411681 879908832 885971196 907405983 926076888 929903652 1010265696 1041836499 1075444128 1136548908 1181294928 1209874644 1234769184 1239871536 1319863248 1389115332 1515398544 1613166192 1704823362 1771942392 1814811966 1852153776 1859807304 2083672998 2273097816 2362589856 2419749288 2479743072 2557235043 2639726496 2778230664 3030797088 3125509497 3226332384 3409646724 3543884784 3629623932 3704307552 3719614608 4167345996 4546195632 4839498576 5114470086 5556461328 6251018994 6819293448 7087769568 7259247864 7439229216 8334691992 9092391264 9376528491 9678997152 10228940172 11112922656 12502037988 13638586896 14518495728 16669383984 18753056982 20457880344 25004075976 27277173792 28129585473 29036991456 33338767968 37506113964 40915760688 50008151952 56259170946 75012227928 81831521376 100016303904 112518341892 150024455856 225036683784 300048911712 450073367568 900146735136
• Sum of all divisors σ(n): 3039859372032
• Sum of proper divisors (its aliquot sum) s(n): 2139712636896
• 900146735136 is an abundant number, because the sum of its proper divisors (2139712636896) is greater than itself. Its abundance is 1239565901760

Bases of 900146735136

• Binary: 1101000110010100111011010010100000100000₂
• Hexadecimal: 0xD194ED2820
• Base-36: BHIS4I00

Squares and roots of 900146735136

• 900146735136 squared (900146735136²) is 810264144776000136938496
• 900146735136 cubed (900146735136³) is 729356624517879753314276088834195456
• The square root of 900146735136 is 948760.6311056547
• The cube root of 900146735136 is 9655.4185257509

Scales and comparisons

• 900,146,735,136 seconds is equal to 28,621 years, 45 weeks, 5 days, 23 hours, 45 minutes, 36 seconds.
• To count from 1 to 900,146,735,136 would take you about fifty-seven thousand, two hundred forty-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 900146735136 cubic inches would be around 804.6 feet tall.

Recreational maths with 900146735136

• 900146735136 backwards is 631537641009
• The number of decimal digits it has is: 12
• The sum of 900146735136's digits is 45
• More coming soon!