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434132230240 = 2553773333147
BaseRepresentation
bin1100101000101000100…
…11000010000001100000
31112111120102101022121101
412110110103002001200
524103100322331430
6531234304204144
743236126033232
oct6242423020140
91474512338541
10434132230240
11158129365145
127017a009654
1331c27b41797
1417025342252
15b45d1b6dca
hex65144c2060

434132230240 has 48 divisors (see below), whose sum is σ = 1053357337872. Its totient is φ = 168959568384.

The previous prime is 434132230219. The next prime is 434132230243. The reversal of 434132230240 is 42032231434.

It is a junction number, because it is equal to n+sod(n) for n = 434132230199 and 434132230208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434132230243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36660654 + ... + 36672493.

It is an arithmetic number, because the mean of its divisors is an integer number (21944944539).

Almost surely, 2434132230240 is an apocalyptic number.

434132230240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434132230240 is an abundant number, since it is smaller than the sum of its proper divisors (619225107632).

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

434132230240 is a wasteful number, since it uses less digits than its factorization.

434132230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73333199 (or 73333191 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 434132230240 its reverse (42032231434), we get a palindrome (476164461674).

The spelling of 434132230240 in words is "four hundred thirty-four billion, one hundred thirty-two million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 73333147 146666294 293332588 366665735 586665176 733331470 1173330352 1466662940 2346660704 2713326439 2933325880 5426652878 5866651760 10853305756 11733303520 13566632195 21706611512 27133264390 43413223024 54266528780 86826446048 108533057560 217066115120 434132230240