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434313133040 = 24519492785487
BaseRepresentation
bin1100101000111110001…
…01000111101111110000
31112112001000210010121002
412110133011013233300
524103433130224130
6531304245421132
743243453501523
oct6243705075760
91475030703532
10434313133040
11158211494096
127020a70a7a8
1331c56470567
1417041392bba
15b46deecb45
hex651f147bf0

434313133040 has 40 divisors (see below), whose sum is σ = 1010296497600. Its totient is φ = 173636055296.

The previous prime is 434313133019. The next prime is 434313133117. The reversal of 434313133040 is 40331313434.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 434313132994 and 434313133012.

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, 1236824 + ... + 1548663.

It is an arithmetic number, because the mean of its divisors is an integer number (25257412440).

Almost surely, 2434313133040 is an apocalyptic number.

434313133040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434313133040 is an abundant number, since it is smaller than the sum of its proper divisors (575983364560).

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

434313133040 is a wasteful number, since it uses less digits than its factorization.

434313133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787449 (or 2787443 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 434313133040 its reverse (40331313434), we get a palindrome (474644446474).

The spelling of 434313133040 in words is "four hundred thirty-four billion, three hundred thirteen million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1949 3898 7796 9745 15592 19490 31184 38980 77960 155920 2785487 5570974 11141948 13927435 22283896 27854870 44567792 55709740 111419480 222838960 5428914163 10857828326 21715656652 27144570815 43431313304 54289141630 86862626608 108578283260 217156566520 434313133040