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42141614124 = 2233511801177
BaseRepresentation
bin100111001111110101…
…100000000000101100
311000202220212210210010
4213033311200000230
51142301223122444
631205401013220
73021210544521
oct471765400054
9130686783703
1042141614124
111696592a475
128201184210
133c8798085c
14207abab148
151169a1e2b9
hex9cfd6002c

42141614124 has 12 divisors (see below), whose sum is σ = 98330432984. Its totient is φ = 14047204704.

The previous prime is 42141614101. The next prime is 42141614159.

42141614124 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×421416141242 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42141614091 and 42141614100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1755900577 + ... + 1755900600.

Almost surely, 242141614124 is an apocalyptic number.

It is an amenable number.

42141614124 is an abundant number, since it is smaller than the sum of its proper divisors (56188818860).

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

42141614124 is a wasteful number, since it uses less digits than its factorization.

42141614124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511801184 (or 3511801182 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The spelling of 42141614124 in words is "forty-two billion, one hundred forty-one million, six hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 3511801177 7023602354 10535403531 14047204708 21070807062 42141614124