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431412241024 = 2731671622729
BaseRepresentation
bin1100100011100100010…
…11000110001010000000
31112020112212020112212001
412101302023012022000
524032013013203044
6530104341313344
743111540354432
oct6216213061200
91466485215761
10431412241024
11156a62a65a76
126b73b105854
13318b34797cb
1416c47dc8652
15b34e4d42d4
hex64722c6280

431412241024 has 64 divisors (see below), whose sum is σ = 900420422400. Its totient is φ = 205632092160.

The previous prime is 431412241019. The next prime is 431412241049. The reversal of 431412241024 is 420142214134.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4314122410242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431412240983 and 431412241001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 545509 + ... + 1077220.

It is an arithmetic number, because the mean of its divisors is an integer number (14069069100).

Almost surely, 2431412241024 is an apocalyptic number.

It is an amenable number.

431412241024 is an abundant number, since it is smaller than the sum of its proper divisors (469008181376).

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

431412241024 is a wasteful number, since it uses less digits than its factorization.

431412241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622841 (or 1622829 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 431412241024 its reverse (420142214134), we get a palindrome (851554455158).

The spelling of 431412241024 in words is "four hundred thirty-one billion, four hundred twelve million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 128 134 248 268 496 536 992 1072 1984 2077 2144 3968 4154 4288 8308 8576 16616 33232 66464 132928 265856 1622729 3245458 6490916 12981832 25963664 50304599 51927328 100609198 103854656 108722843 201218396 207709312 217445686 402436792 434891372 804873584 869782744 1609747168 1739565488 3219494336 3370408133 3479130976 6438988672 6740816266 6958261952 13481632532 13916523904 26963265064 53926530128 107853060256 215706120512 431412241024