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4142300442 = 237377393607
BaseRepresentation
bin1111011011100110…
…0111110100011010
3101200200110122221220
43312321213310122
531440412103232
61523011512510
7204435654450
oct36671476432
911620418856
104142300442
1118362476a5
129772b8736
13510255b67
142b41d69d0
151939d342c
hexf6e67d1a

4142300442 has 64 divisors (see below), whose sum is σ = 9739868160. Its totient is φ = 1149650496.

The previous prime is 4142300441. The next prime is 4142300471. The reversal of 4142300442 is 2440032414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4142300441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146603 + ... + 1150209.

It is an arithmetic number, because the mean of its divisors is an integer number (152185440).

Almost surely, 24142300442 is an apocalyptic number.

4142300442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142300442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869934080).

4142300442 is an abundant number, since it is smaller than the sum of its proper divisors (5597567718).

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

4142300442 is a wasteful number, since it uses less digits than its factorization.

4142300442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4142300442 is about 64360.7057295055. The cubic root of 4142300442 is about 1606.0061291818.

Adding to 4142300442 its reverse (2440032414), we get a palindrome (6582332856).

The spelling of 4142300442 in words is "four billion, one hundred forty-two million, three hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 739 777 1478 1554 2217 3607 4434 5173 7214 10346 10821 15519 21642 25249 27343 31038 50498 54686 75747 82029 133459 151494 164058 191401 266918 382802 400377 574203 800754 934213 1148406 1868426 2665573 2802639 5331146 5605278 7996719 15993438 18659011 37318022 55977033 98626201 111954066 197252402 295878603 591757206 690383407 1380766814 2071150221 4142300442