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4442134104 = 2332831076947
BaseRepresentation
bin1000010001100010…
…11001011001011000
3102110120122210102100
410020301121121120
533044141242404
62012442203400
7215036342202
oct41061313130
912416583370
104442134104
11197a518111
12a3b7b3560
1355a3c6025
14301d65772
151aeeacd39
hex108c59658

4442134104 has 96 divisors (see below), whose sum is σ = 12291289920. Its totient is φ = 1448991168.

The previous prime is 4442134097. The next prime is 4442134129. The reversal of 4442134104 is 4014312444.

4442134104 is a `hidden beast` number, since 444 + 213 + 4 + 1 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635959 + ... + 642905.

It is an arithmetic number, because the mean of its divisors is an integer number (128034270).

Almost surely, 24442134104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442134104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145644960).

4442134104 is an abundant number, since it is smaller than the sum of its proper divisors (7849155816).

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

4442134104 is a wasteful number, since it uses less digits than its factorization.

4442134104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149 (or 7142 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4442134104 is about 66649.3368609171. The cubic root of 4442134104 is about 1643.8564440333.

Adding to 4442134104 its reverse (4014312444), we get a palindrome (8456446548).

The spelling of 4442134104 in words is "four billion, four hundred forty-two million, one hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 107 166 214 249 321 332 428 498 642 664 747 856 963 996 1284 1494 1926 1992 2568 2988 3852 5976 6947 7704 8881 13894 17762 20841 26643 27788 35524 41682 53286 55576 62523 71048 79929 83364 106572 125046 159858 166728 213144 250092 319716 500184 576601 639432 743329 1153202 1486658 1729803 2229987 2306404 2973316 3459606 4459974 4612808 5189409 5946632 6689961 6919212 8919948 10378818 13379922 13838424 17839896 20757636 26759844 41515272 53519688 61696307 123392614 185088921 246785228 370177842 493570456 555266763 740355684 1110533526 1480711368 2221067052 4442134104