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42144311344124 = 22112341644576427
BaseRepresentation
bin10011001010100011111001…
…01101001111101111111100
312112012221211112000201022202
421211101330231033233330
521010443022201002444
6225344455050131032
711606553215532353
oct1145217455175774
9175187745021282
1042144311344124
1112479336065710
124887a24720a78
131a69264982902
14a59b1cdd499a
154d140c19134e
hex26547cb4fbfc

42144311344124 has 24 divisors (see below), whose sum is σ = 83955466078848. Its totient is φ = 18323613627440.

The previous prime is 42144311344063. The next prime is 42144311344133.

42144311344124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×421443113441242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20822287202 + ... + 20822289225.

It is an arithmetic number, because the mean of its divisors is an integer number (3498144419952).

Almost surely, 242144311344124 is an apocalyptic number.

42144311344124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42144311344124 is a deficient number, since it is larger than the sum of its proper divisors (41811154734724).

42144311344124 is a wasteful number, since it uses less digits than its factorization.

42144311344124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41644576465 (or 41644576463 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

It can be divided in two parts, 4214431 and 1344124, that added together give a palindrome (5558555).

The spelling of 42144311344124 in words is "forty-two trillion, one hundred forty-four billion, three hundred eleven million, three hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 23 44 46 92 253 506 1012 41644576427 83289152854 166578305708 458090340697 916180681394 957825257821 1832361362788 1915650515642 3831301031284 10536077836031 21072155672062 42144311344124