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434123646321434 = 21931607607126879
BaseRepresentation
bin110001010110101010100100…
…1101110100100001100011010
32002221002211000100000111201112
41202231111021232210030122
5423400140211424241214
64135145352214020322
7160304253440616056
oct14255251156441432
92087084010014645
10434123646321434
1111636389384a723
12408340a29476a2
13158308b821ab24
14792b9a7646c66
15352c844029a3e
hex18ad549ba431a

434123646321434 has 32 divisors (see below), whose sum is σ = 708735634636800. Its totient is φ = 198676199556720.

The previous prime is 434123646321397. The next prime is 434123646321467.

434123646321434 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4341236463214343 (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302848394 + ... + 304278485.

It is an arithmetic number, because the mean of its divisors is an integer number (22147988582400).

Almost surely, 2434123646321434 is an apocalyptic number.

434123646321434 is a deficient number, since it is larger than the sum of its proper divisors (274611988315366).

434123646321434 is a wasteful number, since it uses less digits than its factorization.

434123646321434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607127538.

The product of its digits is 11943936, while the sum is 50.

The spelling of 434123646321434 in words is "four hundred thirty-four trillion, one hundred twenty-three billion, six hundred forty-six million, three hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 19 31 38 62 589 607 1178 1214 11533 18817 23066 37634 357523 715046 607126879 1214253758 11535410701 18820933249 23070821402 37641866498 357597731731 368526015553 715195463462 737052031106 7001994295507 11424306482143 14003988591014 22848612964286 217061823160717 434123646321434