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342414144424 = 231167201128879
BaseRepresentation
bin1001111101110010111…
…10010011001110101000
31012201211102121210211001
410332321132103032220
521102231010110144
6421145231244344
733511225130152
oct4767136231650
91181742553731
10342414144424
11122242948820
12564419796b4
132639c0acba1
14128041b1ad2
158d910b2bd4
hex4fb97933a8

342414144424 has 64 divisors (see below), whose sum is σ = 711224294400. Its totient is φ = 153238219200.

The previous prime is 342414144419. The next prime is 342414144467. The reversal of 342414144424 is 424441414243.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11842417 + ... + 11871295.

It is an arithmetic number, because the mean of its divisors is an integer number (11112879600).

Almost surely, 2342414144424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342414144424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355612147200).

342414144424 is an abundant number, since it is smaller than the sum of its proper divisors (368810149976).

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

342414144424 is a wasteful number, since it uses less digits than its factorization.

342414144424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30974 (or 30970 counting only the distinct ones).

The product of its digits is 196608, while the sum is 37.

Adding to 342414144424 its reverse (424441414243), we get a palindrome (766855558667).

The spelling of 342414144424 in words is "three hundred forty-two billion, four hundred fourteen million, one hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 737 1474 2011 2948 4022 5896 8044 16088 22121 28879 44242 57758 88484 115516 134737 176968 231032 269474 317669 538948 635338 1077896 1270676 1482107 1934893 2541352 2964214 3869786 5928428 7739572 11856856 15479144 21283823 42567646 58075669 85135292 116151338 170270584 232302676 464605352 638832359 1277664718 2555329436 3891069823 5110658872 7782139646 15564279292 31128558584 42801768053 85603536106 171207072212 342414144424