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4202014124 = 2271157123893
BaseRepresentation
bin1111101001110101…
…1010010110101100
3101211211211102201202
43322131122112230
532101203422444
61532543425032
7206062350020
oct37235322654
911754742652
104202014124
111866a22450
129932b5178
1351c7326b9
142bc0dc380
15198d7b34e
hexfa75a5ac

4202014124 has 48 divisors (see below), whose sum is σ = 9184471296. Its totient is φ = 1634212800.

The previous prime is 4202014121. The next prime is 4202014153. The reversal of 4202014124 is 4214102024.

It is a junction number, because it is equal to n+sod(n) for n = 4202014096 and 4202014105.

It is not an unprimeable number, because it can be changed into a prime (4202014121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163922 + ... + 187814.

It is an arithmetic number, because the mean of its divisors is an integer number (191343152).

Almost surely, 24202014124 is an apocalyptic number.

4202014124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202014124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592235648).

4202014124 is an abundant number, since it is smaller than the sum of its proper divisors (4982457172).

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

4202014124 is a wasteful number, since it uses less digits than its factorization.

4202014124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24486 (or 24484 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4202014124 is about 64822.9444255659. The cubic root of 4202014124 is about 1613.6865131704.

Adding to 4202014124 its reverse (4214102024), we get a palindrome (8416116148).

The spelling of 4202014124 in words is "four billion, two hundred two million, fourteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 571 1142 2284 3997 6281 7994 12562 15988 23893 25124 43967 47786 87934 95572 167251 175868 262823 334502 525646 669004 1051292 1839761 3679522 7359044 13642903 27285806 54571612 95500321 150071933 191000642 300143866 382001284 600287732 1050503531 2101007062 4202014124