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42142111224 = 2334373401537
BaseRepresentation
bin100111001111110111…
…011001010111111000
311000202221211001200020
4213033313121113320
51142301340024344
631205415410440
73021215015013
oct471767312770
9130687731606
1042142111224
11169661399a4
128201383a20
133c87ac5bb5
14207ac9a37a
151169abb719
hex9cfdd95f8

42142111224 has 32 divisors (see below), whose sum is σ = 105379632720. Its totient is φ = 14044123136.

The previous prime is 42142111159. The next prime is 42142111237. The reversal of 42142111224 is 42211124124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 42142111194 and 42142111203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95817 + ... + 305720.

Almost surely, 242142111224 is an apocalyptic number.

It is an amenable number.

42142111224 is an abundant number, since it is smaller than the sum of its proper divisors (63237521496).

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

42142111224 is a wasteful number, since it uses less digits than its factorization.

42142111224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405919 (or 405915 counting only the distinct ones).

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

Adding to 42142111224 its reverse (42211124124), we get a palindrome (84353235348).

The spelling of 42142111224 in words is "forty-two billion, one hundred forty-two million, one hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 4373 8746 13119 17492 26238 34984 52476 104952 401537 803074 1204611 1606148 2409222 3212296 4818444 9636888 1755921301 3511842602 5267763903 7023685204 10535527806 14047370408 21071055612 42142111224