90400420656

Names of 90400420656

• Cardinal: 90400420656 can be written as Ninety billion, four hundred million, four hundred twenty thousand, six hundred fifty-six.

Scientific notation

• Scientific notation: 9.0400420656 × 10¹⁰

Factors of 90400420656

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 48

Divisors of 90400420656

• Number of divisors d(n): 840
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 36 39 42 46 48 49 52 54 56 63 69 72 78 81 84 91 92 98 104 108 112 117 126 138 144 147 156 161 162 168 182 184 189 196 207 208 216 234 243 252 273 276 294 299 312 322 324 336 351 364 368 378 392 414 432 441 468 483 486 504 529 546 552 567 588 598 621 624 637 644 648 702 728 729 756 784 819 828 882 897 936 966 972 1008 1053 1058 1092 1104 1127 1134 1176 1196 1242 1274 1288 1296 1323 1404 1449 1456 1458 1512 1587 1638 1656 1701 1764 1794 1863 1872 1911 1932 1944 2093 2106 2116 2184 2254 2268 2352 2392 2457 2484 2548 2576 2646 2691 2808 2898 2916 3024 3159 3174 3276 3312 3381 3402 3528 3588 3703 3726 3822 3864 3888 3969 4186 4212 4232 4347 4368 4508 4536 4761 4784 4914 4968 5096 5103 5292 5382 5589 5616 5733 5796 5832 6279 6318 6348 6552 6762 6804 6877 7056 7176 7371 7406 7452 7644 7728 7938 8073 8372 8424 8464 8694 9016 9072 9477 9522 9828 9936 10143 10192 10206 10584 10764 11109 11178 11466 11592 11664 11907 12167 12558 12636 12696 13041 13104 13524 13608 13754 14283 14352 14651 14742 14812 14904 15288 15876 16146 16744 16767 16848 17199 17388 18032 18837 18954 19044 19656 20286 20412 20631 21168 21528 22113 22218 22356 22932 23184 23814 24219 24334 25116 25272 25392 25921 26082 27048 27216 27508 28566 29302 29484 29624 29808 30429 30576 31752 32292 33327 33488 33534 34398 34776 35721 36501 37674 37908 38088 39123 39312 40572 40824 41262 42849 43056 43953 44226 44436 44712 45864 47628 48139 48438 48668 50232 50544 51597 51842 52164 54096 55016 56511 57132 58604 58968 59248 60858 61893 63504 64584 66339 66654 67068 68796 69552 71442 72657 73002 75348 75816 76176 77763 78246 81144 81648 82524 85169 85698 87906 88452 88872 89424 91287 91728 95256 96278 96876 97336 99981 100464 103194 103684 104328 109503 110032 113022 114264 117208 117369 117936 121716 123786 128547 129168 131859 132678 133308 134136 137592 142884 144417 145314 146004 150696 151632 154791 155526 156492 158171 162288 165048 169533 170338 171396 175812 176904 177744 182574 185679 190512 192556 193752 194672 199962 206388 207368 208656 217971 219006 226044 228528 233289 234416 234738 243432 247572 255507 257094 263718 265356 266616 268272 273861 275184 285768 288834 290628 292008 299943 301392 309582 311052 312984 316342 328509 330096 336973 339066 340676 342792 351624 353808 365148 371358 385112 385641 387504 395577 399924 412776 414736 433251 435942 438012 452088 464373 466578 469476 474513 486864 495144 508599 511014 514188 527436 530712 533232 547722 557037 571536 577668 581256 584016 596183 599886 619164 622104 625968 632684 657018 673946 678132 681352 685584 699867 703248 730296 742716 766521 770224 771282 791154 799848 821583 825552 866502 871884 876024 899829 904176 928746 933156 938952 949026 985527 990288 1010919 1017198 1022028 1028376 1054872 1061424 1095444 1107197 1114074 1155336 1162512 1186731 1192366 1199772 1238328 1244208 1265368 1299753 1314036 1347892 1356264 1362704 1399734 1423539 1460592 1485432 1525797 1533042 1542564 1582308 1599696 1643166 1671111 1733004 1743768 1752048 1788549 1799658 1857492 1866312 1877904 1898052 1971054 2021838 2034396 2044056 2056752 2099601 2109744 2190888 2214394 2228148 2299563 2310672 2373462 2384732 2399544 2476656 2530736 2599506 2628072 2695784 2699487 2712528 2799468 2847078 2956581 2970864 3032757 3051594 3066084 3085128 3164616 3286332 3321591 3342222 3466008 3487536 3560193 3577098 3599316 3714984 3732624 3796104 3899259 3942108 4043676 4068792 4088112 4199202 4270617 4381776 4428788 4456296 4599126 4746924 4769464 4799088 5013333 5199012 5256144 5365647 5391568 5398974 5598936 5694156 5913162 6065514 6103188 6132168 6170256 6298803 6329232 6572664 6643182 6684444 6898689 6932016 7120386 7154196 7198632 7429968 7592208 7750379 7798518 7884216 8087352 8137584 8398404 8541234 8857576 8869743 8912592 9098271 9198252 9493848 9538928 9964773 10026666 10398024 10680579 10731294 10797948 11197872 11388312 11697777 11826324 12131028 12206376 12264336 12597606 12811851 13145328 13286364 13368888 13797378 14240772 14308392 14397264 15500758 15597036 15768432 16096941 16174704 16796808 17082468 17715152 17739486 18196542 18396504 18896409 18987696 19929546 20053332 20696067 20796048 21361158 21462588 21595896 22776624 23251137 23395554 23652648 24262056 24412752 25195212 25623702 26572728 26737776 27294813 27594756 28481544 28616784 29894319 31001516 31194072 32193882 33593616 34164936 35093331 35478972 36393084 36793008 37792818 38435553 39859092 40106664 41392134 42722316 42925176 43191792 46502274 46791108 47305296 48290823 48524112 50390424 51247404 53145456 54589626 55189512 56963088 59788638 62003032 62088201 62388144 64387764 68329872 69753411 70186662 70957944 72786168 75585636 76871106 79718184 80213328 81884439 82784268 85444632 85850352 89682957 93004548 93582216 96581646 100780848 102494808 109179252 110379024 115306659 119577276 124006064 124176402 128775528 139506822 140373324 141915888 144872469 145572336 151171272 153742212 159436368 163768878 165568536 170889264 179365914 186009096 187164432 193163292 204989616 209260233 218358504 230613318 239154552 245653317 248352804 257551056 269048871 279013644 280746648 289744938 302342544 307484424 327537756 331137072 358731828 372018192 386326584 418520466 434617407 436717008 461226636 478309104 491306634 496705608 538097742 558027288 561493296 579489876 614968848 627780699 655075512 717463656 772653168 807146613 837040932 869234814 922453272 982613268 993411216 1076195484 1116054576 1158979752 1255561398 1310151024 1434927312 1614293226 1674081864 1738469628 1844906544 1883342097 1965226536 2152390968 2317959504 2511122796 3228586452 3348163728 3476939256 3766684194 3930453072 4304781936 5022245592 5650026291 6457172904 6953878512 7533368388 10044491184 11300052582 12914345808 15066736776 22600105164 30133473552 45200210328 90400420656
• Sum of all divisors σ(n): 343931424480
• Sum of proper divisors (its aliquot sum) s(n): 253531003824
• 90400420656 is an abundant number, because the sum of its proper divisors (253531003824) is greater than itself. Its abundance is 163130583168

Bases of 90400420656

• Binary: 1010100001100010010001111001100110000₂
• Hexadecimal: 0x150C48F330
• Base-36: 15J22R00

Squares and roots of 90400420656

• 90400420656 squared (90400420656²) is 8172236054781751470336
• 90400420656 cubed (90400420656³) is 738773577052400193190820905660416
• The square root of 90400420656 is 300666.6271071667
• The cube root of 90400420656 is 4488.0410145241

Scales and comparisons

• 90,400,420,656 seconds is equal to 2,874 years, 23 weeks, 4 days, 3 hours, 57 minutes, 36 seconds.
• To count from 1 to 90,400,420,656 would take you about five thousand, seven hundred forty-eight 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 90400420656 cubic inches would be around 374 feet tall.

Recreational maths with 90400420656

• 90400420656 backwards is 65602400409
• 90400420656 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 90400420656's digits is 36
• More coming soon!