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334124306144 = 2531336818857
BaseRepresentation
bin1001101110010110101…
…11000100111011100000
31011221102200211101112122
410313023113010323200
520433241310244034
6413254455243412
733065624512346
oct4671327047340
91157380741478
10334124306144
11119779507602
1254909679568
132567a7b9335
141225921b996
158a5841462e
hex4dcb5c4ee0

334124306144 has 24 divisors (see below), whose sum is σ = 679026817728. Its totient is φ = 161673050880.

The previous prime is 334124306141. The next prime is 334124306189. The reversal of 334124306144 is 441603421433.

It is a happy number.

It is a super-2 number, since 2×3341243061442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334124306141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168408437 + ... + 168410420.

It is an arithmetic number, because the mean of its divisors is an integer number (28292784072).

Almost surely, 2334124306144 is an apocalyptic number.

It is an amenable number.

334124306144 is an abundant number, since it is smaller than the sum of its proper divisors (344902511584).

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

334124306144 is a wasteful number, since it uses less digits than its factorization.

334124306144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336818898 (or 336818890 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 334124306144 its reverse (441603421433), we get a palindrome (775727727577).

The spelling of 334124306144 in words is "three hundred thirty-four billion, one hundred twenty-four million, three hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 336818857 673637714 1347275428 2694550856 5389101712 10441384567 10778203424 20882769134 41765538268 83531076536 167062153072 334124306144