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434243510040 = 23354384155719
BaseRepresentation
bin1100101000110101110…
…11100001111100011000
31112111212011202220210110
412110122323201330120
524103312314310130
6531253321244320
743241646635154
oct6243273417430
91474764686713
10434243510040
1115818616031a
12701ab3336a0
1331c44c04512
141703602c064
15b467d48ab0
hex651aee1f18

434243510040 has 64 divisors (see below), whose sum is σ = 1333026604800. Its totient is φ = 113105284992.

The previous prime is 434243510033. The next prime is 434243510059. The reversal of 434243510040 is 40015342434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42072700 + ... + 42083019.

It is an arithmetic number, because the mean of its divisors is an integer number (20828540700).

Almost surely, 2434243510040 is an apocalyptic number.

434243510040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434243510040 is an abundant number, since it is smaller than the sum of its proper divisors (898783094760).

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

434243510040 is a wasteful number, since it uses less digits than its factorization.

434243510040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84155776 (or 84155772 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 434243510040 its reverse (40015342434), we get a palindrome (474258852474).

The spelling of 434243510040 in words is "four hundred thirty-four billion, two hundred forty-three million, five hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 84155719 168311438 252467157 336622876 420778595 504934314 673245752 841557190 1009868628 1262335785 1683114380 2019737256 2524671570 3366228760 3618695917 5049343140 7237391834 10098686280 10856087751 14474783668 18093479585 21712175502 28949567336 36186959170 43424351004 54280438755 72373918340 86848702008 108560877510 144747836680 217121755020 434243510040