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334142101524 = 22371119113168433
BaseRepresentation
bin1001101110011000110…
…10111101100000010100
31011221110221022111012210
410313030122331200110
520433310334222044
6413300332513420
733066232000050
oct4671432754024
91157427274183
10334142101524
11119788561530
125491361b870
13256813aa14a
141225b730c60
158a59c7c1b9
hex4dcc6bd814

334142101524 has 192 divisors, whose sum is σ = 1032271349760. Its totient is φ = 81494138880.

The previous prime is 334142101523. The next prime is 334142101549. The reversal of 334142101524 is 425101241433.

It is a super-2 number, since 2×3341421015242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334142101491 and 334142101500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334142101523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1899612 + ... + 2068044.

It is an arithmetic number, because the mean of its divisors is an integer number (5376413280).

Almost surely, 2334142101524 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 334142101524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516135674880).

334142101524 is an abundant number, since it is smaller than the sum of its proper divisors (698129248236).

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

334142101524 is a wasteful number, since it uses less digits than its factorization.

334142101524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168590 (or 168588 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 334142101524 its reverse (425101241433), we get a palindrome (759243342957).

The spelling of 334142101524 in words is "three hundred thirty-four billion, one hundred forty-two million, one hundred one thousand, five hundred twenty-four".