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424020131332 = 2272231097011231
BaseRepresentation
bin1100010101110011001…
…00011011111000000100
31111112110200200110200121
412022321210123320010
523421343123200312
6522443034551324
742430420435300
oct6127144337004
91445420613617
10424020131332
1115390a345606
126a217598544
1330ca5b657c5
141674635cd00
15b06a564707
hex62b991be04

424020131332 has 144 divisors (see below), whose sum is σ = 911013143040. Its totient is φ = 171841824000.

The previous prime is 424020131303. The next prime is 424020131363. The reversal of 424020131332 is 233131020424.

It is a junction number, because it is equal to n+sod(n) for n = 424020131297 and 424020131306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344451157 + ... + 344452387.

It is an arithmetic number, because the mean of its divisors is an integer number (6326480160).

Almost surely, 2424020131332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424020131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455506571520).

424020131332 is an abundant number, since it is smaller than the sum of its proper divisors (486993011708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424020131332 is a wasteful number, since it uses less digits than its factorization.

424020131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 424020131332 its reverse (233131020424), we get a palindrome (657151151756).

The spelling of 424020131332 in words is "four hundred twenty-four billion, twenty million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 109 161 196 218 322 436 644 701 763 1127 1231 1402 1526 2254 2462 2507 2804 3052 4508 4907 4924 5014 5341 8617 9814 10028 10682 16123 17234 17549 19628 21364 28313 32246 34349 34468 35098 56626 60319 64492 68698 70196 76409 112861 113252 120638 122843 134179 137396 152818 198191 225722 241276 245686 268358 305636 396382 451444 491372 534863 536716 790027 792764 862931 939253 1069726 1387337 1580054 1725862 1757407 1878506 2139452 2774674 3086117 3160108 3451724 3514814 3744041 3757012 5549348 6040517 6172234 6574771 7029628 7488082 12081034 12301849 12344468 13149542 14976164 19847413 21602819 24162068 24603698 26299084 39694826 42283619 43205638 49207396 79389652 84567238 86112943 86411276 94059479 138931891 151219733 169134476 172225886 188118958 277863782 302439466 344451772 376237916 555727564 604878932 658416353 972523237 1316832706 1945046474 2163368017 2633665412 3890092948 4326736034 4608914471 8653472068 9217828942 15143576119 18435657884 30287152238 60574304476 106005032833 212010065666 424020131332