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42141014124 = 22311229022737
BaseRepresentation
bin100111001111110011…
…001101100001101100
311000202212202022201220
4213033303031201230
51142301044422444
631205340103340
73021202465326
oct471763154154
9130685668656
1042141014124
111696555a700
128200b34b50
133c87800721
14207aa92616
151169951619
hex9cfccd86c

42141014124 has 36 divisors (see below), whose sum is σ = 108080676312. Its totient is φ = 12770003840.

The previous prime is 42141014107. The next prime is 42141014131.

42141014124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42141014094 and 42141014103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14509917 + ... + 14512820.

Almost surely, 242141014124 is an apocalyptic number.

42141014124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42141014124 is an abundant number, since it is smaller than the sum of its proper divisors (65939662188).

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

42141014124 is a wasteful number, since it uses less digits than its factorization.

42141014124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29022766 (or 29022753 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 421410 and 14124, that added together give a palindrome (435534).

The spelling of 42141014124 in words is "forty-two billion, one hundred forty-one million, fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 29022737 58045474 87068211 116090948 174136422 319250107 348272844 638500214 957750321 1277000428 1915500642 3511751177 3831001284 7023502354 10535253531 14047004708 21070507062 42141014124