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42214122322144 = 254708728016041
BaseRepresentation
bin10011001100100101111011…
…10000111111100011100000
312112110122000202200211210021
421212102331300333203200
521013114010303302034
6225440522225443224
711614604206206463
oct1146227560774340
9175418022624707
1042214122322144
11124a59aa592773
1248994681a0514
131a72a0bbb7a26
14a5d2628852da
154d3145db56b4
hex2664bdc3f8e0

42214122322144 has 24 divisors (see below), whose sum is σ = 83110821298848. Its totient is φ = 21106612151040.

The previous prime is 42214122322133. The next prime is 42214122322147. The reversal of 42214122322144 is 44122322141224.

Adding to 42214122322144 its reverse (44122322141224), we get a palindrome (86336444463368).

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42214122322147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12501237 + ... + 15514804.

It is an arithmetic number, because the mean of its divisors is an integer number (3462950887452).

Almost surely, 242214122322144 is an apocalyptic number.

It is an amenable number.

42214122322144 is a deficient number, since it is larger than the sum of its proper divisors (40896698976704).

42214122322144 is a wasteful number, since it uses less digits than its factorization.

42214122322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28063138 (or 28063130 counting only the distinct ones).

The product of its digits is 49152, while the sum is 34.

The spelling of 42214122322144 in words is "forty-two trillion, two hundred fourteen billion, one hundred twenty-two million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 47087 94174 188348 376696 753392 1506784 28016041 56032082 112064164 224128328 448256656 896513312 1319191322567 2638382645134 5276765290268 10553530580536 21107061161072 42214122322144