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4002420042 = 232222356669
BaseRepresentation
bin1110111010010000…
…0001010101001010
3101022221021000010100
43232210001111022
531144104420132
61501053430230
7201120003045
oct35644012512
911287230110
104002420042
111774297465
1293849b376
134ba28b0aa
1429d7c3c5c
151865a237c
hexee90154a

4002420042 has 12 divisors (see below), whose sum is σ = 8671910130. Its totient is φ = 1334140008.

The previous prime is 4002420017. The next prime is 4002420047. The reversal of 4002420042 is 2400242004.

4002420042 is a `hidden beast` number, since 400 + 24 + 200 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2399138361 + 1603281681 = 48981^2 + 40041^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 222356669 = 4002420042 / (4 + 0 + 0 + 2 + 4 + 2 + 0 + 0 + 4 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 4002419997 and 4002420024.

It is not an unprimeable number, because it can be changed into a prime (4002420047) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111178317 + ... + 111178352.

Almost surely, 24002420042 is an apocalyptic number.

4002420042 is an abundant number, since it is smaller than the sum of its proper divisors (4669490088).

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

4002420042 is a wasteful number, since it uses less digits than its factorization.

4002420042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222356677 (or 222356674 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4002420042 is about 63264.6824223437. The cubic root of 4002420042 is about 1587.7211188636.

Adding to 4002420042 its reverse (2400242004), we get a palindrome (6402662046).

It can be divided in two parts, 400242004 and 2, that multiplied together give a palindrome (800484008).

The spelling of 4002420042 in words is "four billion, two million, four hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 18 222356669 444713338 667070007 1334140014 2001210021 4002420042