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434424034040 = 235232447192971
BaseRepresentation
bin1100101001001011011…
…00001011001011111000
31112112022202110111011112
412110211230023023320
524104200023042130
6531323250415452
743246301235203
oct6244554131370
91475282414145
10434424034040
11158269050707
127023b891588
1331c7342ca59
1417051dc093a
15b478b07495
hex6525b0b2f8

434424034040 has 64 divisors (see below), whose sum is σ = 1020374184960. Its totient is φ = 166145626240.

The previous prime is 434424034001. The next prime is 434424034091. The reversal of 434424034040 is 40430424434.

It is a junction number, because it is equal to n+sod(n) for n = 434424033988 and 434424034006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2154755 + ... + 2347725.

It is an arithmetic number, because the mean of its divisors is an integer number (15943346640).

Almost surely, 2434424034040 is an apocalyptic number.

434424034040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434424034040 is an abundant number, since it is smaller than the sum of its proper divisors (585950150920).

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

434424034040 is a wasteful number, since it uses less digits than its factorization.

434424034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195452 (or 195448 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 434424034040 its reverse (40430424434), we get a palindrome (474854458474).

The spelling of 434424034040 in words is "four hundred thirty-four billion, four hundred twenty-four million, thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 2447 4894 9788 12235 19576 24470 48940 56281 97880 112562 192971 225124 281405 385942 450248 562810 771884 964855 1125620 1543768 1929710 2251240 3859420 4438333 7718840 8876666 17753332 22191665 35506664 44383330 88766660 177533320 472200037 944400074 1888800148 2361000185 3777600296 4722000370 9444000740 10860600851 18888001480 21721201702 43442403404 54303004255 86884806808 108606008510 217212017020 434424034040