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434023311042 = 2343911685031
BaseRepresentation
bin1100101000011011100…
…11100010011011000010
31112111021211102122120000
412110031303202123002
524102334431423132
6531215413500430
743233334162446
oct6241563423302
91474254378500
10434023311042
11158082931582
1270149641716
1331c0b3c7359
1417014aac826
15b45384e87c
hex650dce26c2

434023311042 has 40 divisors (see below), whose sum is σ = 972783801792. Its totient is φ = 144637234200.

The previous prime is 434023311019. The next prime is 434023311053. The reversal of 434023311042 is 240113320434.

434023311042 is a `hidden beast` number, since 4 + 340 + 2 + 3 + 311 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 434023310997 and 434023311015.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 291067 + ... + 976097.

Almost surely, 2434023311042 is an apocalyptic number.

434023311042 is an abundant number, since it is smaller than the sum of its proper divisors (538760490750).

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

434023311042 is a wasteful number, since it uses less digits than its factorization.

434023311042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688956 (or 688947 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 434023311042 its reverse (240113320434), we get a palindrome (674136631476).

The spelling of 434023311042 in words is "four hundred thirty-four billion, twenty-three million, three hundred eleven thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 3911 7822 11733 23466 35199 70398 105597 211194 316791 633582 685031 1370062 2055093 4110186 6165279 12330558 18495837 36991674 55487511 110975022 2679156241 5358312482 8037468723 16074937446 24112406169 48224812338 72337218507 144674437014 217011655521 434023311042