9948428182093824

Names of 9948428182093824

• Cardinal: 9948428182093824 can be written as Nine quadrillion, nine hundred forty-eight trillion, four hundred twenty-eight billion, one hundred eighty-two million, ninety-three thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 9.948428182093824 × 10¹⁵

Factors of 9948428182093824

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 3270

Divisors of 9948428182093824

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 243 256 288 293 304 324 342 361 384 432 456 486 512 513 576 586 608 648 684 722 768 864 879 912 972 1024 1026 1083 1152 1172 1216 1296 1368 1444 1536 1539 1728 1758 1824 1944 2048 2052 2166 2304 2344 2432 2592 2637 2736 2888 2953 3072 3078 3249 3456 3516 3648 3888 4096 4104 4332 4608 4617 4688 4864 5184 5274 5472 5567 5776 5906 6144 6156 6498 6912 7032 7296 7776 7911 8192 8208 8664 8859 9216 9234 9376 9728 9747 10368 10548 10944 11134 11552 11812 12288 12312 12996 13824 14064 14592 15552 15822 16384 16416 16701 17328 17718 18432 18468 18752 19456 19494 20736 21096 21888 22268 23104 23624 23733 24576 24624 25992 26577 27648 28128 29184 29241 31104 31644 32768 32832 33402 34656 35436 36864 36936 37504 38912 38988 41472 42192 43776 44536 46208 47248 47466 49152 49248 50103 51984 53154 55296 56107 56256 58368 58482 62208 63288 65536 65664 66804 69312 70872 71199 73728 73872 75008 77824 77976 79731 82944 84384 87552 87723 89072 92416 94496 94932 98304 98496 100206 103968 105773 106308 110592 112214 112512 116736 116964 124416 126576 131072 131328 133608 138624 141744 142398 147456 147744 150016 150309 155648 155952 159462 165888 168321 168768 175104 175446 178144 184832 188992 189864 196608 196992 200412 207936 211546 212616 221184 224428 225024 233472 233928 239193 248832 253152 262656 267216 277248 283488 284796 294912 295488 300032 300618 311296 311904 317319 318924 331776 336642 337536 350208 350892 356288 369664 377984 379728 393216 393984 400824 415872 423092 425232 442368 448856 450048 450927 466944 467856 478386 497664 504963 506304 525312 534432 554496 566976 569592 589824 590976 600064 601236 622592 623808 634638 637848 663552 673284 675072 700416 701784 712576 717579 739328 755968 759456 787968 801648 831744 846184 850464 865229 884736 897712 900096 901854 933888 935712 951957 956772 995328 1009926 1012608 1050624 1066033 1068864 1108992 1133952 1139184 1179648 1181952 1200128 1202472 1245184 1247616 1269276 1275696 1327104 1346568 1350144 1352781 1400832 1403568 1425152 1435158 1478656 1511936 1514889 1518912 1575936 1603296 1663488 1692368 1700928 1730458 1769472 1795424 1800192 1803708 1867776 1871424 1903914 1913544 1990656 2019852 2025216 2101248 2132066 2137728 2217984 2267904 2278368 2363904 2400256 2404944 2490368 2495232 2538552 2551392 2595687 2654208 2693136 2700288 2705562 2801664 2807136 2850304 2855871 2870316 2957312 3023872 3029778 3037824 3151872 3198099 3206592 3326976 3384736 3401856 3460916 3538944 3590848 3600384 3607416 3735552 3742848 3807828 3827088 3981312 4039704 4050432 4202496 4264132 4275456 4435968 4535808 4544667 4556736 4727808 4800512 4809888 4990464 5077104 5102784 5191374 5308416 5386272 5400576 5411124 5603328 5614272 5700608 5711742 5740632 5914624 6047744 6059556 6075648 6303744 6396198 6413184 6653952 6769472 6803712 6921832 7181696 7200768 7214832 7471104 7485696 7615656 7654176 7787061 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314385924096 319844013056 340221886464 340886382336 353684164608 359824514688 374324723712 382749622272 404013490176 404802579024 419181232128 421115314176 430593325056 446758944768 454515176448 471578886144 479766019584 510332829696 511329573504 530526246912 538684653568 539736772032 561487085568 574124433408 595678593024 606020235264 607203868536 628771848192 639688026112 681772764672 707368329216 719649029376 765499244544 808026980352 809605158048 842230628352 861186650112 893517889536 909030352896 943157772288 959532039168 1020665659392 1022659147008 1061052493824 1077369307136 1079473544064 1122974171136 1148248866816 1212040470528 1214407737072 1257543696384 1279376052224 1363545529344 1414736658432 1439298058752 1530998489088 1616053960704 1619210316096 1684461256704 1722373300224 1787035779072 1818060705792 1886315544576 1919064078336 2045318294016 2122104987648 2154738614272 2158947088128 2296497733632 2424080941056 2428815474144 2558752104448 2727091058688 2829473316864 2878596117504 3061996978176 3232107921408 3238420632192 3368922513408 3444746600448 3636121411584 3772631089152 3838128156672 4090636588032 4244209975296 4317894176256 4592995467264 4848161882112 4857630948288 5117504208896 5454182117376 5658946633728 5757192235008 6464215842816 6476841264384 6889493200896 7272242823168 7676256313344 8181273176064 8488419950592 8635788352512 9185990934528 9696323764224 9715261896576 10235008417792 10908364234752 11317893267456 11514384470016 12953682528768 13778986401792 14544485646336 15352512626688 16362546352128 16976839901184 17271576705024 19392647528448 19430523793152 20470016835584 21816728469504 23028768940032 25907365057536 27557972803584 29088971292672 30705025253376 32725092704256 33953679802368 34543153410048 38861047586304 40940033671168 43633456939008 46057537880064 51814730115072 58177942585344 61410050506752 65450185408512 69086306820096 77722095172608 87266913878016 92115075760128 103629460230144 122820101013504 130900370817024 138172613640192 155444190345216 174533827756032 184230151520256 207258920460288 261800741634048 276345227280384 310888380690432 368460303040512 414517840920576 523601483268096 552690454560768 621776761380864 829035681841152 1105380909121536 1243553522761728 1658071363682304 2487107045523456 3316142727364608 4974214091046912 9948428182093824
• Sum of all divisors σ(n): 31573479555766512
• Sum of proper divisors (its aliquot sum) s(n): 21625051373672688
• 9948428182093824 is an abundant number, because the sum of its proper divisors (21625051373672688) is greater than itself. Its abundance is 11676623191578864

Bases of 9948428182093824

• Binary: 100011010110000000101011101111110111100000000000000000₂
• Hexadecimal: 0x23580AEFDE0000
• Base-36: 2PYF8TATC00

Squares and roots of 9948428182093824

• 9948428182093824 squared (9948428182093824²) is 98971223294278627775504738942976
• 9948428182093824 cubed (9948428182093824³) is 984608107037102255976481712147264285976217780224
• The square root of 9948428182093824 is 99741807.5938762201
• The cube root of 9948428182093824 is 215072.4701224137

Scales and comparisons

• 9,948,428,182,093,824 seconds is equal to 316,329,243 years, 35 weeks, 3 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 9,948,428,182,093,824 would take you about nine hundred forty-eight million, nine hundred eighty-seven thousand, seven hundred thirty-one 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 9948428182093824 cubic inches would be around 17922.7 feet tall.

Recreational maths with 9948428182093824

• 9948428182093824 backwards is 4283902818248499
• 9948428182093824 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 9948428182093824's digits is 81
• More coming soon!