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4124144430 = 233572182087
BaseRepresentation
bin1111010111010001…
…0111001100101110
3101122102022020121000
43311310113030232
531421240110210
61521122421130
7204125435460
oct36564271456
911572266530
104124144430
111826a7682a
129712017a6
13509569b63
142b1a2c130
151920e8ac0
hexf5d1732e

4124144430 has 64 divisors (see below), whose sum is σ = 12568826880. Its totient is φ = 942661152.

The previous prime is 4124144429. The next prime is 4124144443. The reversal of 4124144430 is 344414214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4124144394 and 4124144403.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1089154 + ... + 1092933.

It is an arithmetic number, because the mean of its divisors is an integer number (196387920).

Almost surely, 24124144430 is an apocalyptic number.

4124144430 is an abundant number, since it is smaller than the sum of its proper divisors (8444682450).

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

4124144430 is a wasteful number, since it uses less digits than its factorization.

4124144430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182110 (or 2182104 counting only the distinct ones).

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

The square root of 4124144430 is about 64219.5019445028. The cubic root of 4124144430 is about 1603.6562777293.

Adding to 4124144430 its reverse (344414214), we get a palindrome (4468558644).

The spelling of 4124144430 in words is "four billion, one hundred twenty-four million, one hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 2182087 4364174 6546261 10910435 13092522 15274609 19638783 21820870 30549218 32731305 39277566 45823827 58916349 65462610 76373045 91647654 98193915 117832698 137471481 152746090 196387830 229119135 274942962 294581745 412414443 458238270 589163490 687357405 824828886 1374714810 2062072215 4124144430