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434213747342652 = 223360481710037813
BaseRepresentation
bin110001010111010100100010…
…0001010101011110100111100
32002221102102120121222121220110
41202232221010022223310330
5423403124223304431102
64135255013003350020
7160313623304640114
oct14256510412536474
92087372517877813
10434213747342652
1111639901a49a522
1240849649522310
1315839246c50674
1479320b3b20044
15352ed691ad86c
hex18aea442abd3c

434213747342652 has 24 divisors (see below), whose sum is σ = 1013165792459856. Its totient is φ = 144737861210368.

The previous prime is 434213747342611. The next prime is 434213747342657. The reversal of 434213747342652 is 256243747312434.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 434213747342592 and 434213747342601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434213747342657) 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, 38238898 + ... + 48276710.

It is an arithmetic number, because the mean of its divisors is an integer number (42215241352494).

Almost surely, 2434213747342652 is an apocalyptic number.

It is an amenable number.

434213747342652 is an abundant number, since it is smaller than the sum of its proper divisors (578952045117204).

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

434213747342652 is a wasteful number, since it uses less digits than its factorization.

434213747342652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13642637 (or 13642635 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 57.

The spelling of 434213747342652 in words is "four hundred thirty-four trillion, two hundred thirteen billion, seven hundred forty-seven million, three hundred forty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 3604817 7209634 10037813 10814451 14419268 20075626 21628902 30113439 40151252 43257804 60226878 120453756 36184478945221 72368957890442 108553436835663 144737915780884 217106873671326 434213747342652