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434321033140 = 225231228976831
BaseRepresentation
bin1100101000111111000…
…11010000011110110100
31112112001120122111111101
412110133203100132310
524103442141030030
6531305131015444
743243610604061
oct6243743203664
91475046574441
10434321033140
1115821599a5a5
127021129a584
1331c57ca8387
141704244bc68
15b46ea5d7ca
hex651f8d07b4

434321033140 has 48 divisors (see below), whose sum is σ = 951819402240. Its totient is φ = 166159319040.

The previous prime is 434321033129. The next prime is 434321033143. The reversal of 434321033140 is 41330123434.

It is a junction number, because it is equal to n+sod(n) for n = 434321033099 and 434321033108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434321033143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5614525 + ... + 5691355.

It is an arithmetic number, because the mean of its divisors is an integer number (19829570880).

Almost surely, 2434321033140 is an apocalyptic number.

It is an amenable number.

434321033140 is an abundant number, since it is smaller than the sum of its proper divisors (517498369100).

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

434321033140 is a wasteful number, since it uses less digits than its factorization.

434321033140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89152 (or 89150 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 434321033140 its reverse (41330123434), we get a palindrome (475651156574).

The spelling of 434321033140 in words is "four hundred thirty-four billion, three hundred twenty-one million, thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 12289 24578 49156 61445 76831 122890 153662 245780 282647 307324 384155 565294 768310 1130588 1413235 1536620 1767113 2826470 3534226 5652940 7068452 8835565 17671130 35342260 944176159 1888352318 3776704636 4720880795 9441761590 18883523180 21716051657 43432103314 86864206628 108580258285 217160516570 434321033140