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350342123042142 = 234721137449241513
BaseRepresentation
bin100111110101000100110000…
…1110010110011010101011110
31200221110101020220222010120000
41033222021201302303111132
5331410001131444322032
63241040541025435130
7133536245256120600
oct11752114162632536
91627411226863500
10350342123042142
11a16a2295069930
123336279819baa6
1312064174803aaa
1462729136b7170
152a78308c2de7c
hex13ea261cb355e

350342123042142 has 480 divisors, whose sum is σ = 1025418498904800. Its totient is φ = 88340993556480.

The previous prime is 350342123042117. The next prime is 350342123042209. The reversal of 350342123042142 is 241240321243053.

350342123042142 is a `hidden beast` number, since 3 + 5 + 0 + 342 + 1 + 2 + 304 + 2 + 1 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 350342123042097 and 350342123042106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1450493178 + ... + 1450734690.

It is an arithmetic number, because the mean of its divisors is an integer number (2136288539385).

Almost surely, 2350342123042142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350342123042142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512709249452400).

350342123042142 is an abundant number, since it is smaller than the sum of its proper divisors (675076375862658).

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

350342123042142 is a wasteful number, since it uses less digits than its factorization.

350342123042142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242038 (or 242022 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 350342123042142 its reverse (241240321243053), we get a palindrome (591582444285195).

The spelling of 350342123042142 in words is "three hundred fifty trillion, three hundred forty-two billion, one hundred twenty-three million, forty-two thousand, one hundred forty-two".