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4146279140 = 2253122329989
BaseRepresentation
bin1111011100100011…
…0011001011100100
3101200221221210201002
43313020303023210
531442421413030
61523233052432
7204514535243
oct36710631344
911627853632
104146279140
111838514983
129786b7118
13511019b13
142b495095a
1519401c245
hexf72332e4

4146279140 has 48 divisors (see below), whose sum is σ = 9028669440. Its totient is φ = 1597760640.

The previous prime is 4146279139. The next prime is 4146279143. The reversal of 4146279140 is 419726414.

It is a junction number, because it is equal to n+sod(n) for n = 4146279094 and 4146279103.

It is not an unprimeable number, because it can be changed into a prime (4146279143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123266 + ... + 153254.

It is an arithmetic number, because the mean of its divisors is an integer number (188097280).

Almost surely, 24146279140 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 4146279140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514334720).

4146279140 is an abundant number, since it is smaller than the sum of its proper divisors (4882390300).

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

4146279140 is a wasteful number, since it uses less digits than its factorization.

4146279140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30252 (or 30250 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 4146279140 is about 64391.6076829892. The cubic root of 4146279140 is about 1606.5201566519.

The spelling of 4146279140 in words is "four billion, one hundred forty-six million, two hundred seventy-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 223 310 446 620 892 1115 2230 4460 6913 13826 27652 29989 34565 59978 69130 119956 138260 149945 299890 599780 929659 1859318 3718636 4648295 6687547 9296590 13375094 18593180 26750188 33437735 66875470 133750940 207313957 414627914 829255828 1036569785 2073139570 4146279140