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434321014040 = 23529337058107
BaseRepresentation
bin1100101000111111000…
…11001011110100011000
31112112001120121112021222
412110133203023310120
524103442134422130
6531305130351212
743243610464304
oct6243743136430
91475046545258
10434321014040
11158215987211
127021128b508
1331c57c9c784
1417042444d04
15b46ea57ce5
hex651f8cbd18

434321014040 has 32 divisors (see below), whose sum is σ = 980557537680. Its totient is φ = 173135471232.

The previous prime is 434321014013. The next prime is 434321014063. The reversal of 434321014040 is 40410123434.

It is a congruent number.

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, 18517334 + ... + 18540773.

Almost surely, 2434321014040 is an apocalyptic number.

434321014040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434321014040 is an abundant number, since it is smaller than the sum of its proper divisors (546236523640).

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

434321014040 is a wasteful number, since it uses less digits than its factorization.

434321014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37058411 (or 37058407 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 434321014040 its reverse (40410123434), we get a palindrome (474731137474).

The spelling of 434321014040 in words is "four hundred thirty-four billion, three hundred twenty-one million, fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 293 586 1172 1465 2344 2930 5860 11720 37058107 74116214 148232428 185290535 296464856 370581070 741162140 1482324280 10858025351 21716050702 43432101404 54290126755 86864202808 108580253510 217160507020 434321014040